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Related papers: Quenching the XXZ spin chain: quench action approa…

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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…

Statistical Mechanics · Physics 2014-09-30 B. Pozsgay , M. Mestyán , M. A. Werner , M. Kormos , G. Zaránd , G. Takács

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…

Statistical Mechanics · Physics 2015-06-15 Balázs Pozsgay

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…

Strongly Correlated Electrons · Physics 2014-09-11 Bram Wouters , Jacopo De Nardis , Michael Brockmann , Davide Fioretto , Marcos Rigol , Jean-Sébastien Caux

The steady state after a quantum quench from the N\'eel state to the anisotropic Heisenberg model for spin chains is investigated. Two methods that aim to describe the postquench non-thermal equilibrium, the generalized Gibbs ensemble and…

Strongly Correlated Electrons · Physics 2015-06-22 Michael Brockmann , Bram Wouters , Davide Fioretto , Jacopo De Nardis , Rogier Vlijm , Jean-Sébastien Caux

We study quantum quenches in the XXZ spin-$1/2$ Heisenberg chain from families of ferromagnetic and antiferromagnetic initial states. Using Bethe ansatz techniques, we compute short-range correlators in the complete generalized Gibbs…

Statistical Mechanics · Physics 2017-03-01 Lorenzo Piroli , Eric Vernier , Pasquale Calabrese , Marcos Rigol

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…

Statistical Mechanics · Physics 2013-07-31 Maurizio Fagotti , Fabian H. L. Essler

We present a conjectured exact formula for overlaps between the Bethe states of the spin-1/2 XXZ chain and generic two-site states. The result takes the same form as in the previously known cases: it involves the same ratio of two…

Statistical Mechanics · Physics 2018-05-23 B. Pozsgay

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 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…

Statistical Mechanics · Physics 2015-06-22 B. Pozsgay

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…

Statistical Mechanics · Physics 2016-08-24 Lorenzo Piroli , Eric Vernier , Pasquale Calabrese

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…

Statistical Mechanics · Physics 2012-12-19 Fabian H. L. Essler , Stefano Evangelisti , Maurizio Fagotti

We use entanglement witnesses related to the entanglement negativity of the state to detect entanglement in the $XY$ chain in the postquench states in the thermodynamic limit after a quench when the parameters of the Hamiltonian are changed…

Quantum Physics · Physics 2025-01-07 Ferenc Iglói , Csaba Király

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…

Statistical Mechanics · Physics 2017-10-11 B. Pozsgay , E. Vernier , M. A. Werner

We consider a class of quantum quenches in the spin-1/2 XXZ chain, where the initial state is of a simple product form. Specific examples are the N\'eel state, the dimer state and the q-deformed dimer state. We compute determinant formulas…

Statistical Mechanics · Physics 2015-06-17 B. Pozsgay

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…

Statistical Mechanics · Physics 2012-02-13 Miguel A. Cazalilla , A. Iucci , Ming-Chiang Chung

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…

Mesoscale and Nanoscale Physics · Physics 2021-02-23 Lorenzo Rossi , Fabrizio Dolcini , Fabio Cavaliere , Niccolò Traverso Ziani , Maura Sassetti , Fausto Rossi

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…

Statistical Mechanics · Physics 2015-03-30 Spyros Sotiriadis , Pasquale Calabrese

The (Loschmidt) overlap between the state at different times after a quantum quench is attracting increasing interest, as it was recently shown that in the thermodynamic limit its logarithm per unit of length has a non-analytic behavior if…

Statistical Mechanics · Physics 2013-09-09 Maurizio Fagotti

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…

Statistical Mechanics · Physics 2014-05-06 Leda Bucciantini , Márton Kormos , Pasquale Calabrese

We study work extraction (defined as the difference between the initial and the final energy) in noninteracting and (effectively) weakly interacting isolated fermionic quantum lattice systems in one dimension, which undergo a sequence of…

Statistical Mechanics · Physics 2017-07-05 Ranjan Modak , Marcos Rigol
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