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We investigate the expansion of bosons and fermions in a homogeneous lattice after a sudden removal of the trapping potential using exact numerical methods. As a main result, we show that in one dimension, both bosonic and fermionic Mott…

量子气体 · 物理学 2013-12-18 L. Vidmar , S. Langer , I. P. McCulloch , U. Schneider , U. Schollwoeck , F. Heidrich-Meisner

Recent experiments in hybrid-quantum systems facilitate the potential realization of one of the most fundamental interacting Hamiltonian-Reservoir system, namely, the single-site Bose-Hubbard model coupled to two reservoirs at different…

量子物理 · 物理学 2017-01-02 Archak Purkayastha , Abhishek Dhar , Manas Kulkarni

We determine the ground state properties of inhomogeneous mixtures of bosons and fermions in cubic lattices by studying the Bose-Fermi Hubbard model including parabolic confining potentials. We present the exact solution in the limit of…

统计力学 · 物理学 2009-11-10 M. Cramer , J. Eisert , F. Illuminati

The dynamics of bosons in Josephson junctions have drawn much attention where the bosons are initially condensed. When interacting bosons tunnel back and forth along the junction, depletion and eventually fragmentation develop. Here, we…

量子气体 · 物理学 2025-01-07 Anal Bhowmik , Ofir E. Alon

We obtain the dynamics in number and phase difference, for Bose condensates that tunnel between two wells of a double-well atomic trap, using the (nonlinear) Gross-Pitaevskii equation.The dynamical equations are of the canonical form for…

其他凝聚态物理 · 物理学 2015-06-25 Subodh R. Shenoy

Driven-dissipative light-matter systems can exhibit collective nonequilibrium phenomena due to loss and gain processes on the one hand and effective photon-photon interactions on the other hand. As generic example we study a bosonic lattice…

量子物理 · 物理学 2024-09-17 Arkadiusz Kosior , Karol Gietka , Farokh Mivehvar , Helmut Ritsch

Motivated by the experimental realization of synthetic spin-orbit coupling for ultracold atoms, we investigate the phase diagram of the Bose Hubbard model in a non-abelian gauge field in two dimensions. Using a strong coupling expansion in…

量子气体 · 物理学 2012-10-09 William S. Cole , Shizhong Zhang , Arun Paramekanti , Nandini Trivedi

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…

We present a holographic construction of the large-N Bose-Hubbard model. The model is based on Maxwell fields coupled to charged scalar fields on the AdS2 hard wall. We realize the lobe-shaped phase structure of the Bose-Hubbard model and…

高能物理 - 理论 · 物理学 2016-08-08 Mitsutoshi Fujita , Sarah Harrison , Andreas Karch , Rene Meyer , Natalie M. Paquette

We study the dynamical properties of a few bosons confined in an one-dimensional split hard wall trap with the interaction strength varying from the weakly to strongly repulsive regime. The system is initially prepared in one side of the…

量子气体 · 物理学 2012-08-02 Hongli Guo , Xiangguo Yin , Shu Chen

A superfluid flow beyond a critical momentum in an optical lattice decays drastically by the interplay between nonlinearity due to the interparticle interactions in Bose-Einstein condensate and periodicity of the lattice; this instability…

量子气体 · 物理学 2014-11-17 Rui Asaoka , Hiroki Tsuchiura , Makoto Yamashita , Yuta Toga

A bosonic gas formed by two interacting species trapped in a double-well potential features macroscopic localization effects when the interspecies interaction becomes sufficiently strong. A repulsive interaction spatially separates the…

量子物理 · 物理学 2017-08-02 F. Lingua , V. Penna

We employ the (dynamical) density matrix renormalization group technique to investigate the ground-state properties of the Bose-Hubbard model with nearest-neighbor transfer amplitudes t and local two-body and three-body repulsion of…

量子气体 · 物理学 2015-06-17 S. Ejima , F. Lange , H. Fehske , F. Gebhard , K. zu Münster

The Bose-Hubbard model of a two-fold degenerate Bose gas is studied in an optical lattice with one particle per site and virtual tunneling to empty and doubly-occupied sites. An effective Hamiltonian for this system is derived within a…

统计力学 · 物理学 2009-11-10 K. Ziegler

Quantum simulations are quickly becoming an indispensable tool for studying particle transport in correlated lattice models. One of the central topics in the study of transport is the bad-metal behavior, characterized by the direct current…

量子气体 · 物理学 2025-07-04 Ivana Vasić , Jakša Vučičević

We study the kinetic regime of the Bose-condensation of scalar particles with weak $\lambda \phi^4$ self-interaction. The Boltzmann equation is solved numerically. We consider two kinetic stages. At the first stage the condensate is still…

高能物理 - 唯象学 · 物理学 2009-10-28 D. V. Semikoz , I. I. Tkachev

We introduce three numerical methods for characterizing the topological phases of three-dimensional multiband Hubbard models based on twisted boundary conditions, Wilson loops, as well as the local topological marker. We focus on the…

量子气体 · 物理学 2021-05-21 Bernhard Irsigler , Jun-Hui Zheng , Fabian Grusdt , Walter Hofstetter

We investigate quantum phase transitions occurring in a system of strongly interacting ultracold bosons in a 1D optical lattice. After discussing the commensurate-incommensurate transition, we focus on the phases appearing at incommensurate…

量子气体 · 物理学 2015-05-27 Achilleas Lazarides , Olivier Tieleman , Cristiane Morais Smith

We consider a zero-temperature one-dimensional system of bosons interacting via the soft-shoulder potential in the continuum, typical of dressed Rydberg gases. We employ quantum Monte Carlo simulations, which allow for the exact calculation…

We study the temporal expansion of an ultracold Bose gas in two-dimensional, square optical lattices. The gas is described by the Bose-Hubbard model deep in the superfluid regime, with initially all bosons condensed in the central site of…

量子气体 · 物理学 2021-03-17 Mauricio Trujillo-Martinez , Anna Posazhennikova , Johann Kroha