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相关论文: Validity of the GGE for quantum quenches from inte…

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In many integrable models static (equal time) correlation functions of local observables after a quantum quench relax to stationary values, which are described by a generalized Gibbs ensemble (GGE). Here we establish that the same holds…

统计力学 · 物理学 2012-12-19 Fabian H. L. Essler , Stefano Evangelisti , Maurizio Fagotti

The non-equilibrium dynamics of integrable systems are special: there is substantial evidence that after a quantum quench they do not thermalize but their asymptotic steady state can be described by a Generalized Gibbs Ensemble (GGE). Most…

统计力学 · 物理学 2013-11-27 Marton Kormos , Aditya Shashi , Yang-Zhi Chou , Jean-Sebastien Caux , Adilet Imambekov

In integrable many-particle systems, it is widely believed that the stationary state reached at late times after a quantum quench can be described by a generalized Gibbs ensemble (GGE) constructed from their extensive number of conserved…

It is widely believed that the stationary properties after a quantum quench in integrable systems can be described by a generalized Gibbs ensemble (GGE), even if all the analytical evidence is based on free theories in which the pre- and…

量子气体 · 物理学 2014-01-22 Márton Kormos , Mario Collura , Pasquale Calabrese

The generalized Gibbs ensemble introduced for describing few body correlations in exactly solvable systems following a quantum quench is related to the nonergodic way in which operators sample, in the limit of infinite time after the…

统计力学 · 物理学 2012-02-13 Miguel A. Cazalilla , A. Iucci , Ming-Chiang Chung

We consider quantum quenches in the so-called $q$-boson lattice model. We argue that the Generalized Eigenstate Thermalization Hypothesis holds in this model, therefore the Generalized Gibbs Ensemble (GGE) gives a valid description of the…

统计力学 · 物理学 2015-06-22 B. Pozsgay

Ground states of interacting QFTs are non-gaussian states, i.e. their connected n-point correlation functions do not vanish for n>2, in contrast to the free QFT case. We show that when the ground state of an interacting QFT evolves under a…

高能物理 - 理论 · 物理学 2016-01-26 Spyros Sotiriadis , Gabriele Martelloni

The generalized Gibbs ensemble (GGE), which involves multiple conserved quantities other than the Hamiltonian, has served as the statistical-mechanical description of the long-time behavior for several isolated integrable quantum systems.…

统计力学 · 物理学 2020-09-16 Kouhei Fukai , Yuji Nozawa , Koji Kawahara , Tatsuhiko N. Ikeda

We obtain exact results on interaction quenches in the 1D Bose gas described by the integrable Lieb-Liniger model. We show that in the long time limit integrability leads to significant deviations from the predictions of the grand canonical…

统计力学 · 物理学 2012-04-18 Marton Kormos , Aditya Shashi , Yang-Zhi Chou , Adilet Imambekov

One of the fundamental principles of statistical physics is that only partial information about a system's state is required for its macroscopic description. This is not only true for thermal ensembles, but also for the unconventional…

统计力学 · 物理学 2016-09-28 Spyros Sotiriadis

The generalized Gibbs ensemble has been shown to be relevant in the relaxation of a completely integrable system subject to a quantum quench, in the sense that it accurately predicts the steady values of some physical variables. We proceed…

统计力学 · 物理学 2012-04-30 J. M. Zhang , F. C. Cui , Jiangping Hu

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

We consider the non-equilibrium dynamics after a sudden quench of the magnetic field in the transverse field Ising chain starting from excited states of the pre-quench Hamiltonian. We prove that stationary values of local correlation…

统计力学 · 物理学 2014-05-06 Leda Bucciantini , Márton Kormos , Pasquale Calabrese

We study the nonequilibrium time evolution of the spin-1/2 anisotropic Heisenberg (XXZ) spin chain, with a choice of dimer product and Neel states as initial states. We investigate numerically various short-ranged spin correlators in the…

统计力学 · 物理学 2014-09-30 B. Pozsgay , M. Mestyán , M. A. Werner , M. Kormos , G. Zaránd , G. Takács

We study the quench dynamics in continuous relativistic quantum field theory, more specifically the locality properties of the large time stationary state. After a quantum quench in a one-dimensional integrable model, the expectation values…

统计力学 · 物理学 2017-02-16 Alvise Bastianello , Spyros Sotiriadis

We study quenches in integrable spin-1/2 chains in which we evolve the ground state of the antiferromagnetic Ising model with the anisotropic Heisenberg Hamiltonian. For this nontrivially interacting situation, an application of the…

We consider the time evolution following a quantum quench in spin-1/2 chains. It is well known that local conservation laws constrain the dynamics and, eventually, the stationary behavior of local observables. We show that some widely…

统计力学 · 物理学 2014-03-21 Maurizio Fagotti

We consider a quantum quench of the trap frequency in a system of bosons interacting through an inverse-square potential and confined in a harmonic trap (the harmonic Calogero model). We determine exactly the initial state in terms of the…

统计力学 · 物理学 2014-03-17 M. A. Rajabpour , S. Sotiriadis

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

When a parameter quench is performed in an isolated quantum system with a complete set of constants of motion, its out of equilibrium dynamics is considered to be well captured by the Generalized Gibbs Ensemble (GGE), characterized by a set…

介观与纳米尺度物理 · 物理学 2021-02-23 Lorenzo Rossi , Fabrizio Dolcini , Fabio Cavaliere , Niccolò Traverso Ziani , Maura Sassetti , Fausto Rossi
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