Publications

@article{g.cataldi2023(2+1)d,

title = {(2+1)D SU(2) Yang-Mills Lattice Gauge Theory at finite density via tensor networks},

author = {P. Silvi G. Magnifico G. Cataldi},

url = {

},

doi = {https://doi.org/10.48550/arXiv.2307.09396},

year  = {2023},

date = {2023-01-01},

urldate = {2023-01-01},

journal = {arXiv:2307.09396},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Ballarin2023,

title = {Entanglement entropy production in Quantum Neural Networks},

author = {Marco Ballarin and Stefano Mangini and Simone Montangero and Chiara Macchiavello and Riccardo Mengoni},

url = {https://doi.org/10.22331/q-2023-05-31-1023},

doi = {10.22331/q-2023-05-31-1023},

year  = {2023},

date = {2023-05-01},

journal = {Quantum},

volume = {7},

pages = {1023},

publisher = {Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{kruckenhauser_high-dimensional_2023,

title = {High-dimensional SO(4)-symmetric Rydberg manifolds for quantum simulation},

author = {Andreas Kruckenhauser and Rick Bijnen and Torsten V Zache and Marco Di_Liberto and Peter Zoller},

url = {https://iopscience.iop.org/article/10.1088/2058-9565/aca996},

doi = {10.1088/2058-9565/aca996},

issn = {2058-9565},

year  = {2023},

date = {2023-01-01},

urldate = {2023-01-01},

journal = {Quantum Science and Technology},

volume = {8},

number = {1},

pages = {015020},

abstract = {Abstract 

 We develop a toolbox for manipulating arrays of Rydberg atoms prepared in high-dimensional hydrogen-like manifolds in the regime of linear Stark and Zeeman effect. We exploit the SO(4) symmetry to characterize the action of static electric and magnetic fields as well as microwave and optical fields on the well-structured manifolds of states with principal quantum number 

 n 

 . This enables us to construct generalized 

 large-spin 

 Heisenberg models for which we develop state-preparation and readout schemes. Due to the available large internal Hilbert space, these models provide a natural framework for the quantum simulation of quantum field theories, which we illustrate for the case of the sine-Gordon and massive Schwinger models. Moreover, these high-dimensional manifolds also offer the opportunity to perform quantum information processing operations for qudit-based quantum computing, which we exemplify with an entangling gate and a state-transfer protocol for the states in the neighborhood of the circular Rydberg level.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Jaschke2023,

title = {Is quantum computing green? An estimate for an energy-efficiency quantum advantage},

author = {Daniel Jaschke and Simone Montangero},

url = {https://doi.org/10.1088/2058-9565/acae3e},

doi = {10.1088/2058-9565/acae3e},

year  = {2023},

date = {2023-01-01},

journal = {Quantum Science and Technology},

volume = {8},

number = {2},

pages = {025001},

publisher = {IOP Publishing},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{calajo2023nonlinear,

title = {Nonlinear quantum logic with colliding graphene plasmons},

author = {Giuseppe Calajó and Philipp K Jenke and Lee A Rozema and Philip Walther and Darrick E Chang and Joel D Cox},

url = {https://arxiv.org/abs/2207.05122 

https://doi.org/10.1103/PhysRevResearch.5.013188},

year  = {2023},

date = {2023-01-01},

urldate = {2023-01-01},

journal = {Physical Review Research},

volume = {5},

number = {1},

pages = {013188},

publisher = {APS},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{a.d.meglio2023quantum,

title = {Quantum Computing for High-Energy Physics: State of the Art and Challenges. Summary of the QC4HEP Working Group},

author = {I. Tavernelli K. Jansen A. D. Meglio},

url = {https://doi.org/10.48550/arXiv.2307.03236

https://arxiv.org/abs/2307.03236v1},

doi = {10.48550/arXiv.2307.03236},

year  = {2023},

date = {2023-01-01},

urldate = {2023-01-01},

journal = {arXiv:2307.03236},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Rossignolo2023,

title = {QuOCS: The quantum optimal control suite},

author = {Marco Rossignolo and Thomas Reisser and Alastair Marshall and Phila Rembold and Alice Pagano and Philipp J. Vetter and Ressa S. Said and Matthias M. Müller and Felix Motzoi and Tommaso Calarco and Fedor Jelezko and Simone Montangero},

url = {https://doi.org/10.1016/j.cpc.2023.108782},

doi = {10.1016/j.cpc.2023.108782},

year  = {2023},

date = {2023-10-01},

journal = {Computer Physics Communications},

volume = {291},

pages = {108782},

publisher = {Elsevier BV},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{10.21468/SciPostPhys.14.1.005,

title = {Unsupervised and supervised learning of interacting topological phases from single-particle correlation functions},

author = {Simone Tibaldi and Giuseppe Magnifico and Davide Vodola and Elisa Ercolessi},

url = {https://scipost.org/10.21468/SciPostPhys.14.1.005},

doi = {10.21468/SciPostPhys.14.1.005},

year  = {2023},

date = {2023-01-01},

urldate = {2023-01-01},

journal = {SciPost Phys.},

volume = {14},

pages = {005},

publisher = {SciPost},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Jaschke2022a,

title = {Ab-initio two-dimensional digital twin for quantum computer benchmarking},

author = {Daniel Jaschke and Alice Pagano and Sebastian Weber and Simone Montangero},

url = {http://arxiv.org/abs/2210.03763},

year  = {2022},

date = {2022-10-07},

pages = {1–15},

abstract = {Large-scale numerical simulations of the Hamiltonian dynamics of a Noisy Intermediate Scale Quantum (NISQ) computer - a digital twin - could play a major role in developing efficient and scalable strategies for tuning quantum algorithms for specific hardware. Via a two-dimensional tensor network digital twin of a Rydberg atom quantum computer, we demonstrate the feasibility of such a program. In particular, we quantify the effects of gate crosstalks induced by the van der Waals interaction between Rydberg atoms: according to an 8x8 digital twin simulation based on the current state-of-the-art experimental setups, the initial state of a five-qubit repetition code can be prepared with a high fidelity, a first indicator for a compatibility with fault-tolerant quantum computing. The preparation of a 64-qubit Greenberger-Horne-Zeilinger (GHZ) state with about 700 gates yields a 99.9% fidelity in a closed system while achieving a speedup of 35% via parallelization.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{PhysRevB.105.214201,

title = {Adaptive-weighted tree tensor networks for disordered quantum many-body systems},

author = {Giovanni Ferrari and Giuseppe Magnifico and Simone Montangero},

url = {https://link.aps.org/doi/10.1103/PhysRevB.105.214201},

doi = {10.1103/PhysRevB.105.214201},

year  = {2022},

date = {2022-06-01},

journal = {Phys. Rev. B},

volume = {105},

issue = {21},

pages = {214201},

publisher = {American Physical Society},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Ferrari2021a,

title = {Adaptive-weighted Tree Tensor Networks for disordered quantum many-body systems},

author = {Giovanni Ferrari and Giuseppe Magnifico and Simone Montangero},

url = {http://arxiv.org/abs/2111.12398},

year  = {2022},

date = {2022-06-06},

pages = {1–8},

abstract = {We introduce an adaptive-weighted Tree Tensor Network, for the study of disordered and inhomogeneous quantum many-body systems. This ansatz is assembled on the basis of the random couplings of the physical system with a procedure that considers a tunable weight parameter to prevent completely unbalanced trees. Using this approach, we compute the ground state of the two-dimensional quantum Ising model in the presence of quenched random disorder and frustration, with lattice size up to $32 textbackslashtimes 32$. We compare the results with the ones obtained using the standard homogeneous Tree Tensor Networks and the completely self-assembled Tree Tensor Networks, demonstrating a clear improvement of numerical precision as a function of the weight parameter, especially for large system sizes.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Arceci2020a,

title = {Entanglement of Formation of Mixed Many-Body Quantum States via Tree Tensor Operators},

author = {Luca Arceci and Pietro Silvi and Simone Montangero},

url = {http://arxiv.org/abs/2011.01247},

doi = {10.1103/PhysRevLett.128.040501},

issn = {0031-9007},

year  = {2022},

date = {2022-01-24},

volume = {128},

number = {4},

pages = {040501},

abstract = {We present a numerical strategy to efficiently estimate bipartite entanglement measures, and in particular the Entanglement of Formation, for many-body quantum systems on a lattice. Our approach introduces a novel tensor network ansatz $-$ the Tree Tensor Operator $-$ a positive, loopless representation for density matrices which efficiently encodes information on bipartite entanglement, enabling the up-scaling of entanglement estimation. Employing this technique, we observe a finite-size scaling law for the entanglement of formation in 1D critical lattice models at finite temperature, extending to mixed states the Calabrese-Cardy scaling law for the entanglement entropy.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Arceci2020,

title = {Entanglement of formation of mixed many-body quantum states via Tree Tensor Operators},

author = {Luca Arceci and Pietro Silvi and Simone Montangero},

url = {http://arxiv.org/abs/2011.01247},

year  = {2022},

date = {2022-01-24},

pages = {1–12},

abstract = {We present a numerical strategy to efficiently estimate bipartite entanglement measures, and in particular the Entanglement of Formation, for many-body quantum systems on a lattice. Our approach introduces a novel tensor network ansatz $-$ the Tree Tensor Operator $-$ a positive, loopless representation for density matrices which efficiently encodes information on bipartite entanglement, enabling the up-scaling of entanglement estimation. Employing this technique, we observe a finite-size scaling law for the entanglement of formation in 1D critical lattice models at finite temperature, extending to mixed states the Calabrese-Cardy scaling law for the entanglement entropy.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Pagano2022,

title = {Error budgeting for a controlled-phase gate with strontium-88 Rydberg atoms},

author = {Alice Pagano and Sebastian Weber and Daniel Jaschke and Tilman Pfau and Florian Meinert and Simone Montangero and Hans Peter Büchler},

url = {https://doi.org/10.1103/physrevresearch.4.033019},

doi = {10.1103/physrevresearch.4.033019},

year  = {2022},

date = {2022-07-01},

journal = {Physical Review Research},

volume = {4},

number = {3},

publisher = {American Physical Society (APS)},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Mastroserio2022,

title = {Experimental Realization of Optimal Time-Reversal on an Atom Chip for Quantum Undo Operations},

author = {Ivana Mastroserio and Stefano Gherardini and Cosimo Lovecchio and Tommaso Calarco and Simone Montangero and Francesco S. Cataliotti and Filippo Caruso},

url = {https://doi.org/10.1002/qute.202200057},

doi = {10.1002/qute.202200057},

year  = {2022},

date = {2022-10-01},

journal = {Advanced Quantum Technologies},

volume = {5},

number = {12},

publisher = {Wiley},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Gherardini2020,

title = {Information flow and error scaling for fully quantum control},

author = {Stefano Gherardini and Matthias M. Müller and Simone Montangero and Tommaso Calarco and Filippo Caruso},

url = {http://arxiv.org/abs/2012.06234},

doi = {10.1103/PhysRevResearch.4.023027},

issn = {2643-1564},

year  = {2022},

date = {2022-04-11},

volume = {4},

number = {2},

pages = {023027},

abstract = {The optimally designed control of quantum systems is playing an increasingly important role to engineer novel and more efficient quantum technologies. Here, in the scenario represented by controlling an arbitrary quantum system via the interaction with an another optimally initialized auxiliary quantum system, we show that the quantum channel capacity sets the scaling behaviour of the optimal control error. Specifically, we prove that the minimum control error is ensured by maximizing the quantum capacity of the channel mapping the initial control state into the target state of the controlled system, i.e., optimizing the quantum information flow from the controller to the system to be controlled. Analytical results, supported by numerical evidences, are provided when the systems and the controller are either qubits or single Bosonic modes and can be applied to a very large class of platforms for controllable quantum devices.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Marshall2022,

title = {Macroscopic hyperpolarization enhanced with quantum optimal control},

author = {Alastair Marshall and Thomas Reisser and Phila Rembold and Christoph Müller and Jochen Scheuer and Martin Gierse and Tim Eichhorn and Jakob M. Steiner and Patrick Hautle and Tommaso Calarco and Fedor Jelezko and Martin B. Plenio and Simone Montangero and Ilai Schwartz and Matthias M. Müller and Philipp Neumann},

url = {https://doi.org/10.1103/physrevresearch.4.043179},

doi = {10.1103/physrevresearch.4.043179},

year  = {2022},

date = {2022-12-01},

journal = {Physical Review Research},

volume = {4},

number = {4},

publisher = {American Physical Society (APS)},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Muller2021,

title = {One decade of quantum optimal control in the chopped random basis},

author = {Matthias M. Müller and Ressa S. Said and Fedor Jelezko and Tommaso Calarco and Simone Montangero},

url = {http://arxiv.org/abs/2104.07687},

doi = {10.1088/1361-6633/ac723c},

issn = {0034-4885},

year  = {2022},

date = {2022-07-01},

volume = {85},

number = {7},

pages = {076001},

abstract = {The chopped random basis (CRAB) ansatz for quantum optimal control has been proven to be a versatile tool to enable quantum technology applications such as quantum computing, quantum simulation, quantum sensing, and quantum communication. Its capability to encompass experimental constraints—while maintaining an access to the usually trap-free control landscape—and to switch from open-loop to closed-loop optimization (including with remote access—or RedCRAB) is contributing to the development of quantum technology on many different physical platforms. In this review article we present the development, the theoretical basis and the toolbox for this optimization algorithm, as well as an overview of the broad range of different theoretical and experimental applications that exploit this powerful technique.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{https://doi.org/10.48550/arxiv.2203.03364,

title = {Optimized state transfer in systems of ultrastrongly coupled matter and radiation},

author = {Luigi Giannelli and Jishnu Rajendran and Nicola Macrì and Giuliano Benenti and Simone Montangero and Elisabetta Paladino and Giuseppe Falci},

url = {https://arxiv.org/abs/2203.03364},

doi = {10.48550/ARXIV.2203.03364},

year  = {2022},

date = {2022-01-01},

publisher = {arXiv},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{PhysRevX.12.041035,

title = {Probing Phases of Quantum Matter with an Ion-Trap Tensor-Network Quantum Eigensolver},

author = {Michael Meth and Viacheslav Kuzmin and Rick Bijnen and Lukas Postler and Roman Stricker and Rainer Blatt and Martin Ringbauer and Thomas Monz and Pietro Silvi and Philipp Schindler},

url = {https://link.aps.org/doi/10.1103/PhysRevX.12.041035},

doi = {10.1103/PhysRevX.12.041035},

year  = {2022},

date = {2022-12-01},

journal = {Phys. Rev. X},

volume = {12},

issue = {4},

pages = {041035},

publisher = {American Physical Society},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Koch2022,

title = {Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe},

author = {Christiane P. Koch and Ugo Boscain and Tommaso Calarco and Gunther Dirr and Stefan Filipp and Steffen J. Glaser and Ronnie Kosloff and Simone Montangero and Thomas Schulte-Herbrüggen and Dominique Sugny and Frank K. Wilhelm},

url = {http://arxiv.org/abs/2205.12110},

doi = {10.1140/epjqt/s40507-022-00138-x},

issn = {2662-4400},

year  = {2022},

date = {2022-12-20},

volume = {9},

number = {1},

pages = {19},

publisher = {Springer Science and Business Media LLC},

abstract = {Quantum optimal control, a toolbox for devising and implementing the shapes of external fields that accomplish given tasks in the operation of a quantum device in the best way possible, has evolved into one of the cornerstones for enabling quantum technologies. The last few years have seen a rapid evolution and expansion of the field. We review here recent progress in our understanding of the controllability of open quantum systems and in the development and application of quantum control techniques to quantum technologies. We also address key challenges and sketch a roadmap for future developments.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Oshnik2021,

title = {Robust magnetometry with single nitrogen-vacancy centers via two-step optimization},

author = {Nimba Oshnik and Phila Rembold and Tommaso Calarco and Simone Montangero and Elke Neu and Matthias M. Müller},

url = {http://arxiv.org/abs/2111.12684},

doi = {10.1103/PhysRevA.106.013107},

issn = {2469-9926},

year  = {2022},

date = {2022-07-11},

volume = {106},

number = {1},

pages = {013107},

abstract = {Shallow Nitrogen-Vacancy (NV) centers are promising candidates for high-precision sensing applications; these defects, when positioned a few nanometers below the surface, provide an atomic-scale resolution along with substantial sensitivity. However, the dangling bonds and impurities on the diamond surface result in a complex environment which reduces the sensitivity and is unique to each shallow NV center. To avoid the environment's detrimental effect, we apply feedback-based quantum optimal control. We first show how a direct search can improve the initialization/readout process. In a second step, we optimize microwave pulses for pulsed Optically Detected Magnetic Resonance (ODMR) and Ramsey measurements. Throughout the sensitivity optimizations, we focus on robustness against errors in the control field amplitude. This feature not only protects the protocols' sensitivity from drifts but also enlarges the sensing volume. The resulting ODMR measurements produce sensitivities below 1$textbackslashmu$Ttextbackslash,Hz$textasciicircum-textbackslashfrac12$ for an 83textbackslash% decrease in control power, increasing the robustness by approximately one third. The optimized Ramsey measurements produce sensitivities below 100textbackslash,nTtextbackslash,Hz$textasciicircum-textbackslashfrac12$ giving a two-fold sensitivity improvement. Being on par with typical sensitivities obtained via single NV magnetometry, the complementing robustness of the presented optimization strategy may provide an advantage for other NV-based applications.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{jamotte_strain_2022,

title = {Strain and pseudo-magnetic fields in optical lattices from density-assisted tunneling},

author = {Maxime Jamotte and Nathan Goldman and Marco Di_Liberto},

url = {https://www.nature.com/articles/s42005-022-00802-9},

doi = {10.1038/s42005-022-00802-9},

issn = {2399-3650},

year  = {2022},

date = {2022-01-01},

urldate = {2022-01-01},

journal = {Communications Physics},

volume = {5},

number = {1},

pages = {30},

abstract = {Abstract 

 Applying time-periodic modulations is routinely used to control and design synthetic matter in quantum-engineered settings. In lattice systems, this approach is explored to engineer band structures with non-trivial topological properties, but also to generate exotic interaction processes. A prime example is density-assisted tunneling, by which the hopping amplitude of a particle between neighboring sites explicitly depends on their respective occupations. Here, we show how density-assisted tunneling can be tailored in view of simulating the effects of strain in synthetic graphene-type systems. Specifically, we consider a mixture of two atomic species on a honeycomb optical lattice: one species forms a Bose-Einstein condensate in an anisotropic harmonic trap, whose inhomogeneous density profile induces an effective uniaxial strain for the second species through density-assisted tunneling processes. In direct analogy with strained graphene, the second species experiences a pseudo-magnetic field, hence exhibiting relativistic Landau levels and the valley Hall effect. Our proposed scheme introduces a unique platform for the investigation of strain-induced gauge fields, opening the door to future studies of their possible interplay with quantum fluctuations and collective excitations.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{di_liberto_topological_2022,

title = {Topological phonons in arrays of ultracold dipolar particles},

author = {Marco Di_Liberto and Andreas Kruckenhauser and Peter Zoller and Mikhail A. Baranov},

url = {http://arxiv.org/abs/2108.11856},

doi = {10.22331/q-2022-06-07-731},

issn = {2521-327X},

year  = {2022},

date = {2022-06-01},

urldate = {2022-06-01},

journal = {Quantum},

volume = {6},

pages = {731},

abstract = {The notion of topology in physical systems is associated with the existence of a nonlocal ordering that is insensitive to a large class of perturbations. This brings robustness to the behaviour of the system and can serve as a ground for developing new fault-tolerant applications. We discuss how to design and study a large variety of topology-related phenomena for phonon-like collective modes in arrays of ultracold polarized dipolar particles. These modes are coherently propagating vibrational excitations, corresponding to oscillations of particles around their equilibrium positions, which exist in the regime where long-range interactions dominate over single-particle motion. We demonstrate that such systems offer a distinct and versatile tool to investigate a wide range of topological effects in a single experimental setup with a chosen underlying crystal structure by simply controlling the anisotropy of the interactions via the orientation of the external polarizing field. Our results show that arrays of dipolar particles provide a promising unifying platform to investigate topological phenomena with phononic modes.},

note = {arXiv:2108.11856 [cond-mat, physics:quant-ph]},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{notarnicola_randomized_2021,

title = {A randomized measurement toolbox for Rydberg quantum technologies},

author = {Simone Notarnicola and Andreas Elben and Thierry Lahaye and Antoine Browaeys and Simone Montangero and Benoit Vermersch},

url = {http://arxiv.org/abs/2112.11046},

year  = {2021},

date = {2021-12-21},

pages = {1–9},

abstract = {We present a toolbox to probe quantum many-body states implemented on Rydberg-atoms quantum hardware via randomized measurements. We illustrate the efficacy of this measurement toolbox in the context of probing entanglement, via the estimation of the purity, and of verifying a ground-state preparation using measurements of the Hamiltonian variance. To achieve this goal, we develop and discuss in detail a protocol to realize independent, local unitary rotations. We benchmark the protocol by investigating the ground state of the one-dimensional SSH model, recently realized on a chain of Rydberg atom. We probe the robustness of our toolbox by taking into account experimental imperfections, such as pulse fluctuations and measurement errors.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Pizzamiglio2021,

title = {Dynamical localization simulated on actual quantum hardware},

author = {Andrea Pizzamiglio and Su Yeon Chang and Maria Bondani and Simone Montangero and Dario Gerace and Giuliano Benenti},

doi = {10.3390/e23060654},

issn = {10994300},

year  = {2021},

date = {2021-05-23},

volume = {23},

number = {6},

pages = {1–9},

abstract = {Quantum computers are invaluable tools to explore the properties of complex quantum systems. We show that dynamical localization of the quantum sawtooth map, a highly sensitive quantum coherent phenomenon, can be simulated on actual, small-scale quantum processors. Our results demonstrate that quantum computing of dynamical localization may become a convenient tool for evaluating advances in quantum hardware performances.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hillberry2020,

title = {Entangled quantum cellular automata, physical complexity, and Goldilocks rules},

author = {Logan E. Hillberry and Matthew T. Jones and David L. Vargas and Patrick Rall and Nicole Yunger Halpern and Ning Bao and Simone Notarnicola and Simone Montangero and Lincoln D. Carr},

url = {http://arxiv.org/abs/2005.01763},

doi = {10.1088/2058-9565/ac1c41},

issn = {2058-9565},

year  = {2021},

date = {2021-10-01},

volume = {6},

number = {4},

pages = {045017},

abstract = {Cellular automata are interacting classical bits that display diverse behaviors, from fractals to random-number generators to Turing-complete computation. We introduce entangled quantum cellular automata subject to Goldilocks rules, tradeoffs of the kind underpinning biological, social, and economic complexity. Tweaking digital and analog quantum-computing protocols generates persistent entropy fluctuations; robust dynamical features, including an entangled breather; and network structure and dynamics consistent with complexity. Present-day quantum platforms—Rydberg arrays, trapped ions, and superconducting qubits—can implement Goldilocks protocols, which generate quantum many-body states with rich entanglement and structure. Moreover, the complexity studies reported here underscore an emerging idea in many-body quantum physics: some systems fall outside the integrable/chaotic dichotomy.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Rigobello2021,

title = {Entanglement generation in QED scattering processes},

author = {Marco Rigobello and Simone Notarnicola and Giuseppe Magnifico and Simone Montangero},

url = {http://arxiv.org/abs/2105.03445},

doi = {10.1103/PhysRevD.104.114501},

issn = {2470-0010},

year  = {2021},

date = {2021-12-06},

volume = {104},

number = {11},

pages = {114501},

abstract = {We study real-time meson-meson scattering processes in $(1+1)$-dimensional QED by means of Tensor Networks. We prepare initial meson wave packets with given momentum and position introducing an approximation based on the free fermions model. Then, we compute the dynamics of two initially separated colliding mesons, observing a rich phenomenology as the interaction strength and the initial states are varied in the weak and intermediate coupling regimes. Finally, we consider elastic collisions and measure some scattering amplitudes as well as the entanglement generated by the process. Remarkably, we identify two different regimes for the asymptotic entanglement between the outgoing mesons: it is perturbatively small below a threshold coupling, past which its growth as a function of the coupling abruptly accelerates.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Cataldi2021,

title = {Hilbert curve vs Hilbert space: exploiting fractal 2D covering to increase tensor network efficiency},

author = {Giovanni Cataldi and Ashkan Abedi and Giuseppe Magnifico and Simone Notarnicola and Nicola Dalla Pozza and Vittorio Giovannetti and Simone Montangero},

url = {http://arxiv.org/abs/2105.02239},

doi = {10.22331/q-2021-09-29-556},

issn = {2521-327X},

year  = {2021},

date = {2021-09-29},

volume = {5},

pages = {556},

abstract = {We present a novel mapping for studying 2D many-body quantum systems by solving an effective, one-dimensional long-range model in place of the original two-dimensional short-range one. In particular, we address the problem of choosing an efficient mapping from the 2D lattice to a 1D chain that optimally preserves the locality of interactions within the TN structure. By using Matrix Product States (MPS) and Tree Tensor Network (TTN) algorithms, we compute the ground state of the 2D quantum Ising model in transverse field with lattice size up to 64 × 64 , comparing the results obtained from different mappings based on two space-filling curves, the snake curve and the Hilbert curve. We show that the locality-preserving properties of the Hilbert curve leads to a clear improvement of numerical precision, especially for large sizes, and turns out to provide the best performances for the simulation of 2D lattice systems via 1D TN structures.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Magnifico2020,

title = {Lattice quantum electrodynamics in (3+1)-dimensions at finite density with tensor networks},

author = {Giuseppe Magnifico and Timo Felser and Pietro Silvi and Simone Montangero},

url = {http://arxiv.org/abs/2011.10658},

doi = {10.1038/s41467-021-23646-3},

issn = {2041-1723},

year  = {2021},

date = {2021-12-14},

volume = {12},

number = {1},

pages = {3600},

abstract = {Gauge theories are of paramount importance in our understanding of fundamental constituents of matter and their interactions. However, the complete characterization of their phase diagrams and the full understanding of non-perturbative effects are still debated, especially at finite charge density, mostly due to the sign-problem affecting Monte Carlo numerical simulations. Here, we report the Tensor Network simulation of a three dimensional lattice gauge theory in the Hamiltonian formulation including dynamical matter: Using this sign-problem-free method, we simulate the ground states of a compact Quantum Electrodynamics at zero and finite charge densities, and address fundamental questions such as the characterization of collective phases of the model, the presence of a confining phase at large gauge coupling, and the study of charge-screening effects.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{montangero_loop-free_2021,

title = {Loop-free tensor networks for high-energy physics},

author = {Simone Montangero and Enrique Rico and Pietro Silvi and Astronomia G Galilei and Simone Montangero},

year  = {2021},

date = {2021-09-24},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Marshall2021,

title = {Macroscopic Hyperpolarization Enhanced with Quantum Optimal Control},

author = {Alastair Marshall and Thomas Reisser and Phila Rembold and Christoph Müller and Jochen Scheuer and Martin Gierse and Tim Eichhorn and Jakob M. Steiner and Patrick Hautle and Tommaso Calarco and Fedor Jelezko and Martin B. Plenio and Simone Montangero and Ilai Schwartz and Matthias M. Müller and Philipp Neumann},

url = {http://arxiv.org/abs/2112.15021},

year  = {2021},

date = {2021-12-30},

pages = {1–15},

abstract = {Hyperpolarization of nuclear spins enhances nuclear magnetic resonance signals, which play a key role for imaging and spectroscopy in the natural and life sciences. This signal amplification unlocks previously inaccessible techniques, such as metabolic imaging of cancer cells. In this work, electron spins from the photoexcited triplet state of pentacene-doped naphthalene crystals are used to polarize surrounding protons. As existing strategies are rendered less effective by experimental constraints, they are replaced with optimal control pulses designed with RedCRAB. In contrast to previous optimal control approaches, which consider an average single nucleus, this closed-loop optimization is macroscopic. A 28% improvement in signal and 15% faster polarization rate is observed. Additionally, a strategy called Autonomously-optimized Repeated Linear Sweep (ARISE) is introduced to efficiently tailor existing hyperpolarization sequences in the presence of experimental uncertainty to enhance their performance. ARISE is expected to be broadly applicable in many experimental settings.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Collura2019,

title = {On the descriptive power of Neural-Networks as constrained Tensor Networks with exponentially large bond dimension},

author = {Mario Collura and Luca DellÁnna and Timo Felser and Simone Montangero},

url = {http://arxiv.org/abs/1905.11351},

doi = {10.21468/SciPostPhysCore.4.1.001},

issn = {2666-9366},

year  = {2021},

date = {2021-02-02},

volume = {4},

number = {1},

pages = {001},

abstract = {In many cases, neural networks can be mapped into tensor networks with an exponentially large bond dimension. Here, we compare different sub-classes of neural network states, with their mapped tensor network counterpart for studying the ground state of short-range Hamiltonians. We show that when mapping a neural network, the resulting tensor network is highly constrained and thus the neural network states do in general not deliver the naive expected drastic improvement against the state-of-the-art tensor network methods. We explicitly show this result in two paradigmatic examples, the 1D ferromagnetic Ising model and the 2D antiferromagnetic Heisenberg model, addressing the lack of a detailed comparison of the expressiveness of these increasingly popular, variational ansätze.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Zuliani2021a,

title = {Quantum-inspired machine learning on high-energy physics data},

author = {Timo Felser and Marco Trenti and Lorenzo Sestini and Alessio Gianelle and Davide Zuliani and Donatella Lucchesi and Simone Montangero},

url = {http://dx.doi.org/10.1038/s41534-021-00443-w},

doi = {10.1038/s41534-021-00443-w},

issn = {2056-6387},

year  = {2021},

date = {2021-12-15},

volume = {7},

number = {1},

pages = {111},

abstract = {Tensor Networks, a numerical tool originally designed for simulating quantum many-body systems, have recently been applied to solve Machine Learning problems. Exploiting a tree tensor network, we apply a quantum-inspired machine learning technique to a very important and challenging big data problem in high-energy physics: the analysis and classification of data produced by the Large Hadron Collider at CERN. In particular, we present how to effectively classify so-called b-jets, jets originating from b-quarks from proton–proton collisions in the LHCb experiment, and how to interpret the classification results. We exploit the Tensor Network approach to select important features and adapt the network geometry based on information acquired in the learning process. Finally, we show how to adapt the tree tensor network to achieve optimal precision or fast response in time without the need of repeating the learning process. These results pave the way to the implementation of high-frequency real-time applications, a key ingredient needed among others for current and future LHCb event classification able to trigger events at the tens of MHz scale.},

note = {Publisher: Sissa Medialab 

Place: Trieste, Italy},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Borselli2021,

title = {Two-Particle Interference with Double Twin-Atom Beams},

author = {F Borselli and M Maiwöger and T Zhang and P Haslinger and V Mukherjee and A Negretti and S Montangero and T Calarco and I Mazets and M Bonneau and J Schmiedmayer},

url = {https://doi.org/10.1103/PhysRevLett.126.083603},

doi = {10.1103/PhysRevLett.126.083603},

issn = {10797114},

year  = {2021},

date = {2021-02-23},

volume = {126},

number = {8},

pages = {083603},

abstract = {We demonstrate a source for correlated pairs of atoms characterized by two opposite momenta and two spatial modes forming a Bell state only involving external degrees of freedom. We characterize the state of the emitted atom beams by observing strong number squeezing up to -10 dB in the correlated two-particle modes of emission. We furthermore demonstrate genuine two-particle interference in the normalized second-order correlation function g(2) relative to the emitted atoms.},

note = {Publisher: American Physical Society},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Angaroni2020,

title = {An Optimal Control Framework for the Automated Design of Personalized Cancer Treatments},

author = {Fabrizio Angaroni and Alex Graudenzi and Marco Rossignolo and Davide Maspero and Tommaso Calarco and Rocco Piazza and Simone Montangero and Marco Antoniotti},

url = {https://www.frontiersin.org/article/10.3389/fbioe.2020.00523/full},

doi = {10.3389/fbioe.2020.00523},

issn = {2296-4185},

year  = {2020},

date = {2020-05-28},

volume = {8},

issue = {May},

pages = {523},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{macaluso_charge_2020,

title = {Charge and statistics of lattice quasiholes from density measurements: A tree tensor network study},

author = {E Macaluso and T Comparin and R O Umucalılar and M Gerster and S Montangero and M Rizzi and I Carusotto},

url = {https://link.aps.org/doi/10.1103/PhysRevResearch.2.013145},

doi = {10.1103/PhysRevResearch.2.013145},

issn = {2643-1564},

year  = {2020},

date = {2020-02-11},

volume = {2},

number = {1},

pages = {013145},

abstract = {We numerically investigate the properties of the quasihole excitations above the bosonic fractional Chern insulator state at filling $textbackslashnu = 1/2$, in the specific case of the Harper-Hofstadter Hamiltonian with hard-core interactions. For this purpose we employ a Tree Tensor Network technique, which allows us to study systems with up to $N=18$ particles on a $16 textbackslashtimes 16$ lattice and experiencing an additional harmonic confinement. First, we observe the quantization of the quasihole charge at fractional values and its robustness against the shape and strength of the impurity potentials used to create and localize such excitations. Then, we numerically characterize quasihole anyonic statistics by applying a discretized version of the relation connecting the statistics of quasiholes in the lowest Landau level to the depletions they create in the density profile [Macaluso et al., arXiv:1903.03011]. Our results give a direct proof of the anyonic statistics for quasiholes of fractional Chern insulators, starting from a realistic Hamiltonian. Moreover, they provide strong indications that this property can be experimentally probed through local density measurements, making our scheme readily applicable in state-of-the-art experiments with ultracold atoms and superconducting qubits.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Poschinger,

title = {Demonstration of quantum brachistochrones between distant states of an atom},

author = {Manolo R. Lam and Natalie Peter and Thorsten Groh and Wolfgang Alt and Carsten Robens and Dieter Meschede and Antonio Negretti and Simone Montangero and Tommaso Calarco and Andrea Alberti},

url = {http://arxiv.org/abs/1504.02858},

doi = {10.1103/PhysRevA.92.053423},

issn = {1050-2947},

year  = {2020},

date = {2020-09-04},

volume = {92},

number = {5},

pages = {053423},

abstract = {Transforming an initial quantum state into a target state through the fastest possible route—a quantum brachistochrone—is a fundamental challenge for many technologies based on quantum mechanics. Here, we demonstrate fast coherent transport of an atomic wave packet over a distance of 15 times its size—a paradigmatic case of quantum processes where the target state cannot be reached through a local transformation. Our measurements of the transport fidelity reveal the existence of a minimum duration—a quantum speed limit—for the coherent splitting and recombination of matter waves. We obtain physical insight into this limit by relying on a geometric interpretation of quantum state dynamics. These results shed light upon a fundamental limit of quantum state dynamics and are expected to find relevant applications in quantum sensing and quantum computing.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Felser2020,

title = {Efficient Tensor Network ansatz for high-dimensional quantum many-body problems},

author = {Timo Felser and Simone Notarnicola and Simone Montangero},

url = {http://arxiv.org/abs/2011.08200},

year  = {2020},

date = {2020-11-16},

pages = {1–11},

abstract = {We introduce a novel tensor network structure augmenting the well-established Tree Tensor Network representation of a quantum many-body wave function. The new structure satisfies the area law in high dimensions remaining efficiently manipulatable and scalable. We benchmark this novel approach against paradigmatic two-dimensional spin models demonstrating unprecedented precision and system sizes. Finally, we compute the ground state phase diagram of two-dimensional lattice Rydberg atoms in optical tweezers observing non-trivial phases and quantum phase transitions, providing realistic benchmarks for current and future two-dimensional quantum simulations.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Muller2020,

title = {Information Theoretical Limits for Quantum Optimal Control Solutions: Error Scaling of Noisy Channels},

author = {Matthias M. Müller and Stefano Gherardini and Tommaso Calarco and Simone Montangero and Filippo Caruso},

url = {http://arxiv.org/abs/2006.16113},

year  = {2020},

date = {2020-06-29},

pages = {1–11},

abstract = {Accurate manipulations of an open quantum system require a deep knowledge of its controllability properties and the information content of the implemented control fields. By using tools of information and quantum optimal control theory, we provide analytical bounds (information-time bounds) to characterize our capability to control the system when subject to arbitrary sources of noise. Moreover, since the presence of an external noise field induces an open quantum system dynamics, we also show that the results provided by the information-time bounds are in perfect agreement with the Kofman-Kurizki universal formula describing decoherence processes. Finally, we numerically test the universal scaling of the control accuracy as a function of the noise parameters, by using the dressed chopped random basis (dCRAB) algorithm for quantum optimal control.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{salerno_interaction-induced_2020,

title = {Interaction-induced lattices for bound states: Designing flat bands, quantized pumps, and higher-order topological insulators for doublons},

author = {G. Salerno and G. Palumbo and N. Goldman and M. Di_Liberto},

url = {https://link.aps.org/doi/10.1103/PhysRevResearch.2.013348},

doi = {10.1103/PhysRevResearch.2.013348},

issn = {2643-1564},

year  = {2020},

date = {2020-03-01},

urldate = {2020-03-01},

journal = {Physical Review Research},

volume = {2},

number = {1},

pages = {013348},

abstract = {Bound states of two interacting particles moving on a lattice can exhibit remarkable features that are not captured by the underlying single-particle picture. Inspired by this phenomenon, we introduce a novel framework by which genuine interaction-induced geometric and topological effects can be realized in quantum-engineered systems. Our approach builds on the design of effective lattices for the center-of-mass motion of two-body bound states (doublons), which can be created through long-range interactions. This general scenario is illustrated on several examples, where flat-band localization, topological pumps and higher-order topological corner modes emerge from genuine interaction effects. Our results pave the way for the exploration of interaction-induced topological effects in a variety of platforms, ranging from ultracold gases to interacting photonic devices.},

note = {Publisher: arXiv},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Rembold2020a,

title = {Introduction to Quantum Optimal Control for Quantum Sensing with Nitrogen-Vacancy Centers in Diamond},

author = {Phila Rembold and Nimba Oshnik and Matthias M. Müller and Simone Montangero and Tommaso Calarco and Elke Neu},

url = {http://arxiv.org/abs/2004.12119},

doi = {10.1116/5.0006785},

year  = {2020},

date = {2020-04-25},

volume = {024701},

issue = {June},

abstract = {Diamond based quantum technology is a fast emerging field with both scientific and technological importance. With the growing knowledge and experience concerning diamond based quantum systems, comes an increased demand for performance. Quantum optimal control (QOC) provides a direct solution to a number of existing challenges as well as a basis for proposed future applications. Together with a swift review of QOC strategies, quantum sensing and other relevant quantum technology applications of nitrogen-vacancy (NV) centers in diamond, we give the necessary background to summarize recent advancements in the field of QOC assisted quantum applications with NV centers in diamond.},

note = {Publisher: American Vacuum Society},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{di_liberto_non-abelian_2020,

title = {Non-Abelian Bloch oscillations in higher-order topological insulators},

author = {M. Di_Liberto and N. Goldman and G. Palumbo},

doi = {10.1038/s41467-020-19518-x},

issn = {20411723},

year  = {2020},

date = {2020-12-01},

urldate = {2020-12-01},

journal = {Nature Communications},

volume = {11},

number = {1},

abstract = {Bloch oscillations (BOs) are a fundamental phenomenon by which a wave packet undergoes a periodic motion in a lattice when subjected to a force. Observed in a wide range of synthetic systems, BOs are intrinsically related to geometric and topological properties of the underlying band structure. This has established BOs as a prominent tool for the detection of Berry-phase effects, including those described by non-Abelian gauge fields. In this work, we unveil a unique topological effect that manifests in the BOs of higher-order topological insulators through the interplay of non-Abelian Berry curvature and quantized Wilson loops. It is characterized by an oscillating Hall drift synchronized with a topologically-protected inter-band beating and a multiplied Bloch period. We elucidate that the origin of this synchronization mechanism relies on the periodic quantum dynamics of Wannier centers. Our work paves the way to the experimental detection of non-Abelian topological properties through the measurement of Berry phases and center-of-mass displacements.},

note = {arXiv: 2007.00549 

Publisher: Nature Research},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Cavinato2021,

title = {Optimizing Radiotherapy Plans for Cancer Treatment with Tensor Networks},

author = {Samuele Cavinato and Timo Felser and Marco Fusella and Marta Paiusco and Simone Montangero},

url = {https://iopscience.iop.org/article/10.1088/1361-6560/ac01f2},

doi = {10.1088/1361-6560/ac01f2},

issn = {0031-9155},

year  = {2020},

date = {2020-10-19},

volume = {66},

number = {12},

pages = {125015},

abstract = {We present a novel application of Tensor Network methods in cancer treatment as a potential tool to solve the dose optimization problem in radiotherapy. In particular, the Intensity-Modulated Radiation Therapy (IMRT) technique - that allows treating irregular and inhomogeneous tumors while reducing the radiation toxicity on healthy organs - is based on the optimization of the radiation beamlets intensities. The optimization aims to maximize the delivery of the therapy dose to cancer while avoiding the organs at risk to prevent their damage by the radiation. Here, we map the dose optimization problem into the search of the ground state of an Ising-like Hamiltonian, describing a system of long-range interacting qubits. Finally, we apply a Tree Tensor Network algorithm to find the ground-state of the Hamiltonian. In particular, we present an anatomical scenario exemplifying a prostate cancer treatment. A similar approach can be applied to future hybrid classical-quantum algorithms, paving the way for the use of quantum technologies in future medical treatments.},

note = {Publisher: IOP Publishing},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Notarnicola2019,

title = {Real-time-dynamics quantum simulation of (1+1)-D lattice QED with Rydberg atoms},

author = {Simone Notarnicola and Mario Collura and Simone Montangero},

url = {http://arxiv.org/abs/1907.12579},

doi = {10.1103/PhysRevResearch.2.013288},

issn = {2643-1564},

year  = {2020},

date = {2020-03-10},

urldate = {2020-03-10},

volume = {2},

number = {1},

pages = {013288},

abstract = {We show how to implement a Rydberg-atom quantum simulator to study the non-equilibrium dynamics of an Abelian (1+1)-D lattice gauge theory. The implementation locally codifies the degrees of freedom of a $textbackslashmathbfZ_3$ gauge field, once the matter field is integrated out by means of the Gauss' local symmetries. The quantum simulator scheme is based on current available technology and scalable to considerable lattice sizes. It allows, within experimentally reachable regimes, to explore different string dynamics and to infer information about the Schwinger $U(1)$ model.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{wintersperger_realization_2020,

title = {Realization of an anomalous Floquet topological system with ultracold atoms},

author = {Karen Wintersperger and Christoph Braun and F. Nur Ünal and André Eckardt and Marco Di_Liberto and Nathan Goldman and Immanuel Bloch and Monika Aidelsburger},

doi = {10.1038/s41567-020-0949-y},

issn = {17452481},

year  = {2020},

date = {2020-10-01},

urldate = {2020-10-01},

journal = {Nature Physics},

volume = {16},

number = {10},

pages = {1058–1063},

abstract = {Coherent control via periodic modulation, also known as Floquet engineering, has emerged as a powerful experimental method for the realization of novel quantum systems with exotic properties. In particular, it has been employed to study topological phenomena in a variety of different platforms. In driven systems, the topological properties of the quasienergy bands can often be determined by standard topological invariants, such as Chern numbers, which are commonly used in static systems. However, due to the periodic nature of the quasienergy spectrum, this topological description is incomplete and new invariants are required to fully capture the topological properties of these driven settings. Most prominently, there are two-dimensional anomalous Floquet systems that exhibit robust chiral edge modes, despite all Chern numbers being equal to zero. Here we realize such a system with bosonic atoms in a periodically driven honeycomb lattice and infer the complete set of topological invariants from energy gap measurements and local Hall deflections.},

note = {arXiv: 2002.09840 

Publisher: Nature Research},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Banuls2019,

title = {Simulating lattice gauge theories within quantum technologies},

author = {Mari Carmen Bañuls and Rainer Blatt and Jacopo Catani and Alessio Celi and Juan Ignacio Cirac and Marcello Dalmonte and Leonardo Fallani and Karl Jansen and Maciej Lewenstein and Simone Montangero and Christine A. Muschik and Benni Reznik and Enrique Rico and Luca Tagliacozzo and Karel Van Acoleyen and Frank Verstraete and Uwe-Jens Wiese and Matthew Wingate and Jakub Zakrzewski and Peter Zoller},

url = {http://arxiv.org/abs/1911.00003},

doi = {10.1140/epjd/e2020-100571-8},

issn = {1434-6060},

year  = {2020},

date = {2020-08-04},

volume = {74},

number = {8},

pages = {165},

abstract = {Lattice gauge theories, which originated from particle physics in the context of Quantum Chromodynamics (QCD), provide an important intellectual stimulus to further develop quantum information technologies. While one long-term goal is the reliable quantum simulation of currently intractable aspects of QCD itself, lattice gauge theories also play an important role in condensed matter physics and in quantum information science. In this way, lattice gauge theories provide both motivation and a framework for interdisciplinary research towards the development of special purpose digital and analog quantum simulators, and ultimately of scalable universal quantum computers. In this manuscript, recent results and new tools from a quantum science approach to study lattice gauge theories are reviewed. Two new complementary approaches are discussed: first, tensor network methods are presented - a classical simulation approach - applied to the study of lattice gauge theories together with some results on Abelian and non-Abelian lattice gauge theories. Then, recent proposals for the implementation of lattice gauge theory quantum simulators in different quantum hardware are reported, e.g., trapped ions, Rydberg atoms, and superconducting circuits. Finally, the first proof-of-principle trapped ions experimental quantum simulations of the Schwinger model are reviewed.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Kohn2019,

title = {Superfluid-to-Mott transition in a Bose-Hubbard ring: Persistent currents and defect formation},

author = {Lucas Kohn and Pietro Silvi and Matthias Gerster and Maximilian Keck and Rosario Fazio and Giuseppe E. Santoro and Simone Montangero},

url = {http://arxiv.org/abs/1907.00009},

doi = {10.1103/PhysRevA.101.023617},

issn = {2469-9926},

year  = {2020},

date = {2020-02-24},

volume = {101},

number = {2},

pages = {023617},

abstract = {We revisit here the Kibble-Zurek mechanism for superfluid bosons slowly driven across the transition towards the Mott-insulating phase. By means of a combination of the Time-Dependent Variational Principle and a Tree-Tensor Network, we characterize the current flowing during annealing in a ring-shaped one-dimensional Bose-Hubbard model with artificial classical gauge field on up to 32 lattice sites. We find that the superfluid current shows, after an initial decrease, persistent oscillations which survive even when the system is well inside the Mott insulating phase. We demonstrate that the amplitude of such oscillations is connected to the residual energy, characterizing the creation of defects while crossing the quantum critical point, while their frequency matches the spectral gap in the Mott insulating phase. Our results are relevant for non-equilibrium atomtronic experiments.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}