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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 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 consider a quantum quench in the spin-1/2 Heisenberg XXZ chain. At late times after the quench it is believed that the expectation values of local operators approach time-independent values, that are described by a generalized Gibbs…

统计力学 · 物理学 2013-07-31 Maurizio Fagotti , Fabian H. L. Essler

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…

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…

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

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

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

Following our previous work [PRL 113 (2014) 09020] we present here a detailed comparison of the quench action approach and the predictions of the generalized Gibbs ensemble, with the result that while the quench action formalism correctly…

统计力学 · 物理学 2015-06-23 M. Mestyan , B. Pozsgay , G. Takacs , M. A. Werner

We investigate the steady-state R\'enyi entanglement entropies after a quench from a piecewise homogeneous initial state in integrable models. In the quench protocol two macroscopically different chains (leads) are joined together at the…

统计力学 · 物理学 2019-02-12 Vincenzo Alba

We revisit the question of whether and how the steady states arising after non-equilibrium time evolution in integrable models (and in particular in the XXZ spin chain) can be described by the so-called Generalized Gibbs Ensemble (GGE). It…

统计力学 · 物理学 2017-10-11 B. Pozsgay , E. Vernier , M. A. Werner

We analyze the entanglement properties of the asymptotic steady state after a quench from free to hard-core bosons in one dimension. The R\'enyi and von Neumann entanglement entropies are found to be extensive, and the latter coincides with…

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

We consider the time evolution after quantum quenches in the spin-1/2 Heisenberg XXZ quantum spin chain with Ising-like anisotropy. The time evolution of short-distance spin-spin correlation functions is studied by numerical tensor network…

统计力学 · 物理学 2014-03-05 Maurizio Fagotti , Mario Collura , Fabian H. L. Essler , Pasquale Calabrese

A diagonal entropy, which depends only on the diagonal elements of the system's density matrix in the energy representation, has been recently introduced as the proper definition of thermodynamic entropy in out-of-equilibrium quantum…

统计力学 · 物理学 2012-02-17 Lea F. Santos , Anatoli Polkovnikov , Marcos Rigol

We investigate the entanglement spreading in the anisotropic spin-1/2 Heisenberg (XXZ) chain after a geometric quench. This corresponds to a sudden change of the geometry of the chain or, in the equivalent language of interacting fermions…

强关联电子 · 物理学 2014-08-27 Vincenzo Alba , Fabian Heidrich-Meisner

The past few years have witnessed the development of a comprehensive theory to describe integrable systems out of equilibrium, in which the Bethe ansatz formalism has been tailored to address specific problems arising in this context. While…

统计力学 · 物理学 2019-09-30 Ranjan Modak , Lorenzo Piroli , Pasquale Calabrese

We investigate the dynamics of the XXZ spin chain after a geometric quench, which is realized by connecting two half-chains prepared in their ground states with zero and maximum magnetizations, respectively. The profiles of magnetization…

统计力学 · 物理学 2019-05-15 Matthias Gruber , Viktor Eisler

In the majority of the analytical verifications of the conjecture that the Generalised Gibbs Ensemble describes the large time asymptotics of local observables in quantum quench problems, both the post-quench and the pre-quench Hamiltonians…

统计力学 · 物理学 2015-03-30 Spyros Sotiriadis , Pasquale Calabrese

In this PhD thesis we investigate some properties of one-dimensional quantum systems, focusing on two important aspects of integrable models: Their entanglement properties at equilibrium and their dynamical correlators after a quantum…

统计力学 · 物理学 2013-03-13 Stefano Evangelisti

We consider global quenches in the quantum XY chain in a transverse field and study the nonequilibrium relaxation of the magnetization and the correlation function as well as the entanglement entropy in finite systems. For quenches in the…

统计力学 · 物理学 2016-05-24 Benjamin Blaß , Heiko Rieger , Ferenc Iglói
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