Publications old

@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{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{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{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{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{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}

}

@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{di_liberto_nonlinear_2019,

title = {Nonlinear dynamics of Aharonov-Bohm cages},

author = {Marco Di_Liberto and Sebabrata Mukherjee and Nathan Goldman},

doi = {10.1103/PhysRevA.100.043829},

issn = {24699934},

year  = {2019},

date = {2019-10-01},

urldate = {2019-10-01},

journal = {Physical Review A},

volume = {100},

number = {4},

abstract = {The interplay of π-flux and lattice geometry can yield full localization of quantum dynamics in lattice systems, a striking interference phenomenon known as Aharonov-Bohm caging. At the single-particle level, this full-localization effect is attributed to the collapse of Bloch bands into a set of perfectly flat (dispersionless) bands. While interparticle interactions generally break the cages, not much is known regarding the fate of Aharonov-Bohm caging in the presence of classical nonlinearities, as captured by a discrete nonlinear Schrödinger equation. This scenario is relevant to recent experimental realizations of photonic Aharonov-Bohm cages, using classical light propagating in arrays of coupled waveguides. In this article, we demonstrate that caging always occurs in this nonlinear setting, as long as the nonlinearities remain local. As a central result, we identify special caged solutions that are accompanied by a breathing dynamics of the field intensity that we describe in terms of an effective two-mode model reminiscent of a bosonic Josephson junction. Also, motivated by a formal similarity with the Gross-Pitaevskii equation describing interacting bosons, we explore the quantum regime of Aharonov-Bohm caging using small ensembles of interacting particles, and reveal quasicaged collapse-revival dynamics. The results stemming from this work open an interesting route towards the characterization of nonlinear dynamics in interacting flat-band systems.},

note = {arXiv: 1810.07641 

Publisher: American Physical Society},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{fabrizio_personalized_2019,

title = {PERSONALIZED THERAPY DESIGN FOR LIQUID TUMORS VIA OPTIMAL CONTROL THEORY},

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

year  = {2019},

date = {2019-06-07},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{omran_generation_2019,

title = {Generation and manipulation of Schrtextbackslashödinger cat states in Rydberg atom arrays},

author = {Ahmed Omran and Harry Levine and Alexander Keesling and Giulia Semeghini and Tout T. Wang and Sepehr Ebadi and Hannes Bernien and Alexander S. Zibrov and Hannes Pichler and Soonwon Choi and Jian Cui and Marco Rossignolo and Phila Rembold and Simone Montangero and Tommaso Calarco and Manuel Endres and Markus Greiner and Vladan Vuletić and Mikhail D. Lukin},

url = {http://arxiv.org/abs/1905.05721},

year  = {2019},

date = {2019-05-14},

abstract = {Quantum entanglement involving coherent superpositions of macroscopically distinct states is among the most striking features of quantum theory, but its realization is challenging, since such states are extremely fragile. Using a programmable quantum simulator based on neutral atom arrays with interactions mediated by Rydberg states, we demonstrate the deterministic generation of 'Schrtextbackslashödinger cat' states of the Greenberger-Horne-Zeilinger (GHZ) type with up to 20 qubits. Our approach is based on engineering the energy spectrum and using optimal control of the many-body system. We further demonstrate entanglement manipulation by using GHZ states to distribute entanglement to distant sites in the array, establishing important ingredients for quantum information processing and quantum metrology.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Tschirsich2017b,

title = {The Tensor Networks Anthology: Simulation techniques for many-body quantum lattice systems},

author = {Pietro Silvi and Ferdinand Tschirsich and Matthias Gerster and Johannes Jünemann and Daniel Jaschke and Matteo Rizzi and Simone Montangero},

url = {http://arxiv.org/abs/1710.03733},

doi = {10.21468/SciPostPhysLectNotes.8},

issn = {2590-1990},

year  = {2019},

date = {2019-03-18},

pages = {8},

abstract = {We present a compendium of numerical simulation techniques, based on tensor network methods, aiming to address problems of many-body quantum mechanics on a classical computer. The core setting of this anthology are lattice problems in low spatial dimension at finite size, a physical scenario where tensor network methods, both Density Matrix Renormalization Group and beyond, have long proven to be winning strategies. Here we explore in detail the numerical frameworks and methods employed to deal with low-dimensional physical setups, from a computational physics perspective. We focus on symmetries and closed-system simulations in arbitrary boundary conditions, while discussing the numerical data structures and linear algebra manipulation routines involved, which form the core libraries of any tensor network code. At a higher level, we put the spotlight on loop-free network geometries, discussing their advantages, and presenting in detail algorithms to simulate low-energy equilibrium states. Accompanied by discussions of data structures, numerical techniques and performance, this anthology serves as a programmer’s companion, as well as a self-contained introduction and review of the basic and selected advanced concepts in tensor networks, including examples of their applications.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Tschirsich2019,

title = {Phase diagram and conformal string excitations of square ice using gauge invariant matrix product states},

author = {Ferdinand Tschirsich and Simone Montangero and Marcello Dalmonte},

url = {http://arxiv.org/abs/1807.00826},

doi = {10.21468/SciPostPhys.6.3.028},

issn = {2542-4653},

year  = {2019},

date = {2019-03-06},

volume = {6},

number = {3},

pages = {028},

abstract = {We investigate the ground state phase diagram of square ice — a U(1) lattice gauge theory in two spatial dimensions — using gauge invariant tensor network techniques. By correlation function, Wilson loop, and entanglement diagnostics, we characterize its phases and the transitions between them, finding good agreement with previous studies. We study the entanglement properties of string excitations on top of the ground state, and provide direct evidence of the fact that the latter are described by a conformal field theory. Our results pave the way to the application of tensor network methods to confining, two-dimensional lattice gauge theories, to investigate their phase diagrams and low-lying excitations.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{goerz_erratum:_2019,

title = {Erratum: Optimizing for an arbitrary perfect entangler. II. Application [Phys. Rev. A 91 , 062307 (2015)]},

author = {Michael H. Goerz and Giulia Gualdi and Daniel M. Reich and Christiane P. Koch and Felix Motzoi and K. Birgitta Whaley and Jiří Vala and Matthias M. Müller and Simone Montangero and Tommaso Calarco},

url = {https://link.aps.org/doi/10.1103/PhysRevA.99.019903},

doi = {10.1103/PhysRevA.99.019903},

issn = {2469-9926},

year  = {2019},

date = {2019-01-23},

volume = {99},

number = {1},

pages = {019903},

abstract = {© 2019 American Physical Society. The difficulty of an optimization task in quantum information science depends on the proper mathematical expression of the physical target. Here we demonstrate the power of optimization functionals targeting an arbitrary perfect two-qubit entangler, which allow generation of a maximally entangled state from some initial product state. We show for two quantum information platforms of current interest, i.e., nitrogen vacancy centers in diamond and superconducting Josephson junctions, that an arbitrary perfect entangler can be reached faster and with higher fidelity than both specific two-qubit gates and local equivalence classes of two-qubit gates. Our results are obtained using two independent optimization approaches, underscoring the critical role of the optimization target.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Weiss2018,

title = {Kibble-Zurek scaling of the one-dimensional Bose-Hubbard model at finite temperatures},

author = {Werner Weiss and Matthias Gerster and Daniel Jaschke and Pietro Silvi and Simone Montangero},

url = {http://arxiv.org/abs/1808.04649},

doi = {10.1103/PhysRevA.98.063601},

issn = {2469-9926},

year  = {2018},

date = {2018-12-03},

volume = {98},

number = {6},

pages = {063601},

abstract = {We use tensor network methods - Matrix Product States, Tree Tensor Networks, and Locally Purified Tensor Networks - to simulate the one dimensional Bose-Hubbard model for zero and finite temperatures in experimentally accessible regimes. We first explore the effect of thermal fluctuations on the system ground state by characterizing its Mott and superfluid features. Then, we study the behavior of the out-of-equilibrium dynamics induced by quenches of the hopping parameter. We confirm a Kibble-Zurek scaling for zero temperature and characterize the finite temperature behavior, which we explain by means of a simple argument.},

note = {Publisher: American Physical Society},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{gorlach_simulation_2018,

title = {Simulation of two-boson bound states using arrays of driven-dissipative coupled linear optical resonators},

author = {Maxim A. Gorlach and Marco Di_Liberto and Alessio Recati and Iacopo Carusotto and Alexander N. Poddubny and Chiara Menotti},

doi = {10.1103/PhysRevA.98.063625},

issn = {24699934},

year  = {2018},

date = {2018-12-01},

urldate = {2018-12-01},

journal = {Physical Review A},

volume = {98},

number = {6},

abstract = {We present a strategy based on two-dimensional arrays of coupled linear optical resonators to investigate the two-body physics of interacting bosons in one-dimensional lattices. In particular, we want to address the bound pairs in topologically nontrivial Su-Schrieffer-Heeger arrays. Taking advantage of the driven-dissipative nature of the resonators, we propose spectroscopic protocols to detect and tomographically characterize bulk doublon bands and doublon edge states from the spatially resolved transmission spectra, and to highlight Feshbach resonance effects in two-body collision processes. We discuss the experimental feasibility using state-of-the-art devices, with a specific eye on arrays of semiconductor micropillar cavities.},

note = {Publisher: American Physical Society},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Heck2018,

title = {Remote optimization of an ultra-cold atoms experiment by experts and citizen scientists},

author = {Robert Heck and Oana Vuculescu and Jens Jakob Sørensen and Jonathan Zoller and Morten G Andreasen and Mark G Bason and Poul Ejlertsen and Ottó Elíasson and Pinja Haikka and Jens S Laustsen and Lærke L Nielsen and Andrew Mao and Romain Müller and Mario Napolitano and Mads K Pedersen and Aske R Thorsen and Carsten Bergenholtz and Tommaso Calarco and Simone Montangero and Jacob F Sherson},

url = {http://www.ncbi.nlm.nih.gov/pubmed/30413625},

doi = {10.1073/pnas.1716869115},

issn = {1091-6490},

year  = {2018},

date = {2018-11-09},

urldate = {2018-11-12},

pages = {201716869},

abstract = {We introduce a novel remote interface to control and optimize the experimental production of Bose-Einstein condensates (BECs) and find improved solutions using two distinct implementations. First, a team of theoreticians employed a Remote version of their dCRAB optimization algorithm (RedCRAB), and second a gamified interface allowed 600 citizen scientists from around the world to participate in real-time optimization. Quantitative studies of player search behavior demonstrated that they collectively engage in a combination of local and global search. This form of adaptive search prevents premature convergence by the explorative behavior of low-performing players while high-performing players locally refine their solutions. In addition, many successful citizen science games have relied on a problem representation that directly engaged the visual or experiential intuition of the players. Here we demonstrate that citizen scientists can also be successful in an entirely abstract problem visualization. This gives encouragement that a much wider range of challenges could potentially be open to gamification in the future.},

note = {Publisher: National Academy of Sciences},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Jaschke2018,

title = {One-dimensional many-body entangled open quantum systems with tensor network methods},

author = {Daniel Jaschke and Simone Montangero and Lincoln D. Carr},

url = {http://arxiv.org/abs/1804.09796},

doi = {10.1088/2058-9565/aae724},

issn = {2058-9565},

year  = {2018},

date = {2018-11-06},

volume = {4},

number = {1},

pages = {013001},

abstract = {We present a collection of methods to simulate entangled dynamics of open quantum systems governed by the Lindblad equation with tensor network methods. Tensor network methods using matrix product states have been proven very useful to simulate many-body quantum systems and have driven many innovations in research. Since the matrix product state design is tailored for closed one-dimensional systems governed by the Schrtextbackslashödinger equation, the next step for many-body quantum dynamics is the simulation of open quantum systems. We review the three dominant approaches to the simulation of open quantum systems via the Lindblad master equation: quantum trajectories, matrix product density operators, and locally purified tensor networks. Selected examples guide possible applications of the methods and serve moreover as a benchmark between the techniques. These examples include the finite temperature states of the transverse quantum Ising model, the dynamics of an exciton traveling under the influence of spontaneous emission and dephasing, and a double-well potential simulated with the Bose-Hubbard model including dephasing. We analyze which approach is favorable leading to the conclusion that a complete set of all three methods is most beneficial, push- ing the limits of different scenarios. The convergence studies using analytical results for macroscopic variables and exact diagonalization methods as comparison, show, for example, that matrix product density operators are favorable for the exciton problem in our study. All three methods access the same library, i.e., the software package Open Source Matrix Product States, allowing us to have a meaningful comparison between the approaches based on the selected examples. For example, tensor operations are accessed from the same subroutines and with the same optimization eliminating one possible bias in a comparison of such numerical methods.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{mukherjee_experimental_2018,

title = {Experimental Observation of Aharonov-Bohm Cages in Photonic Lattices},

author = {Sebabrata Mukherjee and Marco Di_Liberto and Patrik Öhberg and Robert R. Thomson and Nathan Goldman},

doi = {10.1103/PhysRevLett.121.075502},

issn = {10797114},

year  = {2018},

date = {2018-08-01},

urldate = {2018-08-01},

journal = {Physical Review Letters},

volume = {121},

number = {7},

abstract = {We report on the experimental realization of a uniform synthetic magnetic flux and the observation of Aharonov-Bohm cages in photonic lattices. Considering a rhombic array of optical waveguides, we engineer modulation-assisted tunneling processes that effectively produce nonzero magnetic flux per plaquette. This synthetic magnetic field for light can be tuned at will by varying the phase of the modulation. In the regime where half a flux quantum is realized in each plaquette, all the energy bands dramatically collapse into nondispersive (flat) bands and all eigenstates are completely localized. We demonstrate this Aharonov-Bohm caging by studying the propagation of light in the bulk of the photonic lattice. Besides, we explore the dynamics on the edge of the lattice and discuss how the corresponding edge states can be continuously connected to the topological edge states of the Creutz ladder. Our photonic lattice constitutes an appealing platform where the interplay between engineered gauge fields, frustration, localization, and topological properties can be finely studied.},

note = {arXiv: 1805.03564 

Publisher: American Physical Society},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Gerster2018,

title = {Dynamical Ginzburg criterion for the quantum-classical crossover of the Kibble-Zurek mechanism},

author = {Matthias Gerster and Benedikt Haggenmiller and Ferdinand Tschirsich and Pietro Silvi and Simone Montangero},

url = {http://arxiv.org/abs/1807.10611},

year  = {2018},

date = {2018-07-27},

pages = {1–11},

abstract = {We introduce a simple criterion for lattice models to predict quantitatively the crossover between the classical and the quantum scaling of the Kibble-Zurek mechanism, as the one observed in a lattice $textbackslashphitextasciicircum4$-model in 1+1 dimensions [Phys. Rev. Lett. 116, 225701 (2016)]. We show that the crossover is a general feature of critical models on a lattice, by testing our paradigm on the quantum Ising model in transverse field for arbitrary spin-$s$ ($s textbackslashgeq 1/2$) in 1+1 dimensions. By means of tensor network methods, we fully characterize the equilibrium properties of this model, and locate the quantum critical regions via our dynamical Ginzburg criterion. We numerically simulate the Kibble-Zurek quench dynamics and show the validity of our picture, also according to finite-time scaling analysis.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{chaviguri_density-dependent_2018,

title = {Density-dependent hopping for ultracold atoms immersed in a Bose-Einstein-condensate vortex lattice},

author = {R. H. Chaviguri and T. Comparin and M. Di_Liberto and M. A. Caracanhas},

doi = {10.1103/PhysRevA.97.023614},

issn = {24699934},

year  = {2018},

date = {2018-02-01},

urldate = {2018-02-01},

journal = {Physical Review A},

volume = {97},

number = {2},

abstract = {Both mixtures of atomic Bose-Einstein condensates and systems with atoms trapped in optical lattices have been intensely explored theoretically, mainly due to the exceptional developments on the experimental side. We investigate the properties of ultracold atomic impurities (bosons) immersed in a vortex lattice of a second Bose-condensed species. In contrast to the static optical-lattice configuration, the vortex lattice presents intrinsic dynamics given by its Tkachenko modes. These excitations induce additional correlations between the impurities, which consist of a long-range attractive potential and a density-dependent hopping, described here in the framework of an extended Bose-Hubbard model. We compute the quantum phase diagram of the impurity species through a Gutzwiller ansatz and through the mean-field approach, and separately identify the effects of the two additional terms, i.e., the shift and the deformation of the Mott-insulator lobes. The long-range attraction, in particular, induces the existence of a triple point in the phase diagram, in agreement with previous quantum Monte Carlo calculations [Chaviguri et al., Phys. Rev. A 95, 053639 (2017)2469-992610.1103/PhysRevA.95.053639].},

note = {Publisher: American Physical Society},

keywords = {},

pubstate = {published},

tppubtype = {article}

}