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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 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

The study of quantum quenches in integrable systems has significantly advanced with the introduction of the Quench Action method, a versatile analytical approach to non-equilibrium dynamics. However, its application is limited to those…

统计力学 · 物理学 2016-08-24 Lorenzo Piroli , Eric Vernier , Pasquale Calabrese

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

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…

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

We consider the computation of the Loschmidt echo after quantum quenches in the interacting $XXZ$ Heisenberg spin chain both for real and imaginary times. We study two-site product initial states, focusing in particular on the N\'eel and…

统计力学 · 物理学 2017-02-17 Lorenzo Piroli , Balázs Pozsgay , Eric Vernier

We consider the problem of constructing the stationary state following a quantum quench, using the exact overlaps for finite size integrable models. We focus on the isotropic Heisenberg spin chain with initial state N\'eel or Majumdar-Ghosh…

强关联电子 · 物理学 2016-04-26 Vincenzo Alba , Pasquale Calabrese

We review the dynamics after quantum quenches in integrable quantum spin chains. We give a pedagogical introduction to relaxation in isolated quantum systems, and discuss the description of the steady state by (gen- eralized) Gibbs…

量子气体 · 物理学 2016-07-06 Fabian H. L. Essler , Maurizio Fagotti

Integrable models provide an exact description for a wide variety of physical phenomena. For example nested integrable systems contain different species of interacting particles with a rich phenomenology in their collective behavior, which…

统计力学 · 物理学 2017-08-22 Márton Mestyán , Bruno Bertini , Lorenzo Piroli , Pasquale Calabrese

We develop an analytic approach for the study of the quench dynamics of the anisotropic Heisenberg model (XXZ model) on the infinite line. We present the exact time-dependent wavefunctions after a quench in an integral form for any initial…

量子气体 · 物理学 2014-07-29 Wenshuo Liu , Natan Andrei

We study the R\'enyi entropies in the spin-$1/2$ anisotropic Heisenberg chain after a quantum quench starting from the N\'eel state. The quench action method allows us to obtain the stationary R\'enyi entropies for arbitrary values of the…

统计力学 · 物理学 2018-11-13 Vincenzo Alba , Pasquale Calabrese

We study the quantum dynamics of a one-dimensional spin-1/2 anisotropic XY model in a transverse field when the transverse field or the anisotropic interaction is quenched at a slow but uniform rate. The two quenching schemes are called…

统计力学 · 物理学 2009-01-19 Victor Mukherjee , Uma Divakaran , Amit Dutta , Diptiman Sen

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 consider the non-equilibrium evolution in the spin-1/2 XXZ Heisenberg chain for fixed magnetization after a local quantum quench. This model is equivalent to interacting spinless fermions. Initially an infinite magnetic field is applied…

强关联电子 · 物理学 2012-02-20 Martin Ganahl , Elias Rabel , Fabian H. L. Essler , Hans Gerd Evertz

The dynamics after a quantum quench is determined by the weights of the initial state in the eigenspectrum of the final Hamiltonian, i.e., by the distribution of overlaps in the energy spectrum. We present an analysis of such overlap…

The quantum entanglement dynamics of a one-dimensional spin-1/2 anisotropic XXZ model is studied using the method of the adaptive time-dependent density-matrix renormalization-group when two cases of quenches are performed in the system. An…

量子物理 · 物理学 2010-06-09 Jie Ren , Shiqun Zhu

We use the Quench Action approach to study the non-equilibrium dynamics after a quantum quench in the Hubbard model in the limit of infinite interaction. We identify a variety of low-entangled initial states for which we can directly…

统计力学 · 物理学 2017-11-03 Bruno Bertini , Elena Tartaglia , Pasquale Calabrese

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 consider quantum quenches to the sinh-Gordon integrable quantum field theory from a particular class of initial states. Our analysis includes the case of mass and interaction quenches starting from a non-interacting theory. By means of…

统计力学 · 物理学 2016-06-06 Bruno Bertini , Lorenzo Piroli , Pasquale Calabrese
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