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Phase transitions are ubiquitous in our three-dimensional world. By contrast most conventional transitions do not occur in infinite uniform two-dimensional systems because of the increased role of thermal fluctuations. Here we explore the…

We use quantum Monte Carlo simulations with the worm algorithm to study the phase diagram of a two-dimensional Bose-Hubbard model with cavity-mediated long-range interactions and uncorrelated disorder in the hard-core limit. Our study shows…

Disordered Systems and Neural Networks · Physics 2020-11-03 Chao Zhang , Heiko Rieger

Recent experiments with ultracold atoms in an optical lattice have realized cavity-mediated long-range interaction and observed the emergence of a supersolid phase and a density wave phase in addition to Mott insulator and superfluid…

Disordered Systems and Neural Networks · Physics 2020-11-03 Chao Zhang , Heiko Rieger

We investigate the momentum-dependent transport of 1D quasi-condensates in quasiperiodic optical lattices. We observe a sharp crossover from a weakly dissipative regime to a strongly unstable one at a disorder-dependent critical momentum.…

Disordered Systems and Neural Networks · Physics 2013-09-12 Luca Tanzi , Eleonora Lucioni , Saptarishi Chaudhuri , Lorenzo Gori , Avinash Kumar , Chiara D'Errico , Massimo Inguscio , Giovanni Modugno

In this work we systematically investigate the condensate properties, superfluid properties and quantum phase transitions in interacting Bose gases trapped in disordered optical potentials. We numerically solve the Bose-Hubbard Hamiltonian…

Disordered Systems and Neural Networks · Physics 2009-11-11 Pearl J. Y. Louis , Makoto Tsubota

Two-dimensional (2D) systems play a special role in many-body physics. Because of thermal fluctuations, they cannot undergo a conventional phase transition associated to the breaking of a continuous symmetry. Nevertheless they may exhibit a…

We present a review of properties of ultracold atomic Fermi-Bose mixtures in inhomogeneous and random optical lattices. In the strong interacting limit and at very low temperatures, fermions form, together with bosons or bosonic holes, {\it…

Disordered Systems and Neural Networks · Physics 2009-11-11 V. Ahufinger , L. Sanchez-Palencia , A. Kantian , A. Sanpera , M. Lewenstein

The effects of frustration on extended supersolid states is a largely unexplored subject in the realm of cold-atom systems. In this work, we explore the impact of quasicrystalline lattices on the supersolid phases of dipolar bosons. Our…

Quantum Gases · Physics 2024-10-14 Vinicius Zampronio , Alejandro Mendoza-Coto , Tommaso Macrì , Fabio Cinti

We investigate the ground-state and dynamical properties of ultracold Bose gases in optical lattices with a quasicrystal structure, inspired by recent experiments on twisted bilayer and quasicrystalline optical lattices. The interplay…

Quantum Gases · Physics 2025-11-05 Shi-Hao Ding , Li-Jun Lang , Qizhong Zhu , Liang He

In an equilibrium three-dimensional (3D) disordered condensate, it's well established that disorder can generate an amount of normal fluid equaling to $\frac{4}{3}$ of the condensate depletion. The concept that the superfluid is more…

Quantum Gases · Physics 2014-12-01 Lei Chen , Zhaoxin Liang , Ying Hu , Zhidong Zhang

We study a two-dimensional Bose-Hubbard model at a zero temperature with random local potentials in the presence of either uniform or binary disorder. Many low-energy metastable configurations are found with virtually the same energy as the…

Statistical Mechanics · Physics 2009-02-20 P. Buonsante , F. Massel , V. Penna , A. Vezzani

We study the two-dimensional weakly repulsive Bose gas at zero temperature in the presence of correlated disorder. Using large-scale simulations, we show that the low-energy Bogoliubov cumulative density of states remains quadratic up to a…

Quantum Gases · Physics 2014-10-29 Joseph Saliba , Pierre Lugan , Vincenzo Savona

Two-component coupled Bose gas in a 1D optical lattice is examined. In addition to the postulated Mott insulator and superfluid phases, multiple bosonic components manifest spin degrees of freedom. Coupling of the components in the Bose gas…

Quantum Gases · Physics 2021-12-01 Sagarika Basak , Han Pu

We study superfluid to Anderson insulator transition of strongly repulsive Bose gas in a one dimensional incommensurate optical lattice. In the hard core limit, the Bose-Fermi mapping allows us to deal with the system exactly by using the…

Quantum Gases · Physics 2010-03-02 Xiaoming Cai , Shu Chen , Yupeng Wang

Interacting bosons generically form a superfluid state. In the presence of disorder it can get converted into a compressible Bose glass state. Here we study such transition in one dimension at moderate interaction using bosonization and…

Disordered Systems and Neural Networks · Physics 2012-07-17 Zoran Ristivojevic , Aleksandra Petkovic , Pierre Le Doussal , Thierry Giamarchi

Ultracold Bose gases in one-dimensional optical lattices constitute an important benchmark problem in the study of strongly interacting many-body quantum phases. Here we present a combined experimental and theoretical study of their…

Quantum Gases · Physics 2026-03-30 R. Vatré , G. Morettini , J. Beugnon , R. Lopes , L. Mazza , F. Gerbier

We investigate the field-induced insulator-to-superfluid transition of bosonic quasiparticles in $S=1/2$ weakly-coupled dimer antiferromagnets. In presence of realistic disorder due to site dilution of the magnetic lattice, we show that the…

Strongly Correlated Electrons · Physics 2010-03-23 Tommaso Roscilde , Stephan Haas

Ultra-cold atom experiments offer the unique opportunity to study mixing of different types of superfluid states. Our interest is in superfluid mixtures comprising particles with different statistics- Bose and Fermi. Such scenarios occur…

Quantum Gases · Physics 2015-03-18 B. Ramachandhran , S. G. Bhongale , H. Pu

We study the one-dimensional Bose gas in spatially correlated disorder at zero temperature, using an extended density-phase Bogoliubov method. We analyze in particular the decay of the one-body density matrix and the behaviour of the…

Quantum Gases · Physics 2009-07-22 Luca Fontanesi , Michiel Wouters , Vincenzo Savona

Macroscopic coherence is an important feature of quantum many-body systems exhibiting collective behaviors, with examples ranging from atomic Bose-Einstein condensates, and quantum liquids to superconductors. Probing many-body coherence in…