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We develop a hybrid semiclassical method to study the time evolution of one dimensional quantum systems in and out of equilibrium. Our method handles internal degrees of freedom completely quantum mechanically by a modified time evolving…

统计力学 · 物理学 2019-03-20 Catalin Pascu Moca , Márton Kormos , Gergely Zaránd

Ultracold atomic gases have revolutionized the study of non-equilibrium dynamics in quantum many-body systems. Many counterintuitive non-equilibrium effects have been observed, such as suppressed thermalization in a one-dimensional (1D)…

A number of results on quantum quenches in the Luttinger and related models are surveyed with emphasis on post-quench correlations. For the Luttinger model and initial gaussian states, we discuss both sudden and smooth quenches of the…

统计力学 · 物理学 2016-07-07 M. A. Cazalilla , M. -C. Chung

The process of exciting the gas of trapped bosons from an equilibrium initial state to strongly nonequilibrium states is described as a procedure of symmetry restoration caused by external perturbations. Initially, the trapped gas is cooled…

量子气体 · 物理学 2015-06-16 V. S. Bagnato , V. I. Yukalov

We consider a quantum quench in which two initially independent condensates are suddenly coupled, and study the subsequent "rephasing" dynamics. For weak couplings, the time-evolution of physical observables is predicted to follow universal…

量子气体 · 物理学 2013-04-18 Emanuele G. Dalla Torre , Eugene Demler , Anatoli Polkovnikov

We consider the Generalized Gibbs Ensemble (GGE) in the context of global quantum quenches in XXZ Heisenberg spin chains. Embedding the GGE into the Quantum Transfer Matrix formalism we develop an iterative procedure to fix the…

统计力学 · 物理学 2015-06-15 Balázs Pozsgay

We present a comprehensive review on the state-of-the-art of the approximate analytic approaches describing the finite-temperature thermodynamic quantities of the Lieb-Liniger model of the one-dimensional (1D) Bose gas with contact…

量子气体 · 物理学 2024-08-09 M. L. Kerr , G. De Rosi , K. V. Kheruntsyan

A classic example of a quantum quench concerns the release of a interacting Bose gas from an optical lattice. The local properties of quenches such as this have been extensively studied however the global properties of these non-equilibrium…

强关联电子 · 物理学 2019-09-04 Colin Rylands , Natan Andrei

We analyze the time evolution of the Bose-Hubbard model after a sudden quantum quench to a weakly interacting regime. Specifically, motivated by a recent experiment at Kyoto University, we numerically simulate redistribution of the kinetic…

量子气体 · 物理学 2019-02-27 Kazuma Nagao , Masaya Kunimi , Yosuke Takasu , Yoshiro Takahashi , Ippei Danshita

We consider quantum quenches in models of free scalars and fermions with a generic time-dependent mass $m(t)$ that goes from $m_0$ to zero. We prove that, as anticipated in MSS \cite{Mandal:2015jla}, the post-quench dynamics can be…

高能物理 - 理论 · 物理学 2020-03-17 Gautam Mandal , Shruti Paranjape , Nilakash Sorokhaibam

Ultracold gases are a versatile platform to simulate condensed matter physics, as virtually any parameter is experimentally tunable. In particular, highly anisotropic traps allow the realization of low-dimensional systems, where the role of…

量子气体 · 物理学 2017-12-18 Guillaume Lang

We investigate the nonequilibrium dynamics of a two-dimensional rotating Bose gas confined in a symmetric anharmonic trap, employing the multiconfigurational time-dependent Hartree method for bosons (MCTDHB). We study states ranging from…

The problem of how complex quantum systems eventually come to rest lies at the heart of statistical mechanics. The maximum entropy principle put forward in 1957 by E. T. Jaynes suggests what quantum states one should expect in equilibrium…

We present a kinetic theory for Bose-Einstein condensation of a weakly interacting atomic gas in a trap. Starting from first principles, we establish a Markovian kinetic description for the evolution towards equilibrium. In particular, we…

统计力学 · 物理学 2009-10-31 R. Walser , J. Williams , J. Cooper , M. Holland

We consider two regimes where a trapped Bose gas behaves as a one-dimensional system. In the first one the Bose gas is microscopically described by 3D mean field theory, but the trap is so elongated that it behaves as a 1D gas with respect…

软凝聚态物质 · 物理学 2009-11-10 J. N. Fuchs , X. Leyronas , R. Combescot

For strongly repulsive bosons in one dimension, we provide detailed modeling of the Bragg pulse used in quantum Newton's cradle-like settings or in Bragg spectroscopy experiments. By employing the Fermi-Bose mapping for a finite…

量子气体 · 物理学 2016-06-08 R. van den Berg , B. Wouters , S. Eliëns , J. De Nardis , R. M. Konik , J. -S. Caux

An optical-lattice quantum simulator is an ideal experimental platform to investigate non-equilibrium dynamics of a quantum many-body system, which is in general hard to simulate with classical computers. Here, we use our quantum simulator…

We study the out-of-equilibrium dynamics of two interacting atoms in a one-dimensional harmonic trap after a quench by a tightly pinned impurity atom. We make use of an approximate variational calculation called the Lagrange-mesh method to…

量子物理 · 物理学 2016-12-28 Tim Keller , Thomás Fogarty

We study a classical integrable (Neumann) model describing the motion of a particle on the sphere, subject to harmonic forces. We tackle the problem in the infinite dimensional limit by introducing a soft version in which the spherical…

统计力学 · 物理学 2021-02-03 Damien Barbier , Leticia F. Cugliandolo , Gustavo S. Lozano , Nicolas Nessi

Even after almost a century, the foundations of quantum statistical mechanics are still not completely understood. In this work, we provide a precise account on these foundations for a class of systems of paradigmatic importance that appear…

量子物理 · 物理学 2019-10-02 Marek Gluza , Jens Eisert , Terry Farrelly