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We establish a relation between two hallmarks of integrable systems: the relaxation towards the generalized Gibbs ensemble (GGE) and the dissipationless charge transport. We show that the former one is possible only if the so called Mazur…

Strongly Correlated Electrons · Physics 2014-07-16 Marcin Mierzejewski , Peter Prelovsek , Tomaz Prosen

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

We investigate the modular properties of Generalised Gibbs Ensembles (GGEs) in two dimensional conformal field theories. These are obtained by inserting higher spin charges in the expressions for the partition function of the theory. We…

High Energy Physics - Theory · Physics 2025-03-12 Max Downing , Faisal Karimi

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…

Statistical Mechanics · Physics 2017-02-16 Alvise Bastianello , Spyros Sotiriadis

We consider the construction of a generalized Gibbs ensemble composed of complete bases of conserved charges in the repulsive Lieb-Liniger model. We will show that it is possible to construct these bases with varying locality as well as…

Statistical Mechanics · Physics 2018-11-28 Tamas Palmai , Robert M. Konik

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 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…

Statistical Mechanics · Physics 2021-02-03 Damien Barbier , Leticia F. Cugliandolo , Gustavo S. Lozano , Nicolas Nessi

We reconsider the non-equilibrium dynamics of closed quantum systems. In particular we focus on the thermalization of integrable systems. Here we show how the generalized Gibbs Ensemble (GGE) can be constructed as the best approximation to…

Quantum Physics · Physics 2017-05-11 Dries Sels , Michiel Wouters

The generalized Gibbs ensemble (GGE) was introduced ten years ago to describe observables in isolated integrable quantum systems after equilibration. Since then, the GGE has been demonstrated to be a powerful tool to predict the outcome of…

Statistical Mechanics · Physics 2016-06-29 Lev Vidmar , Marcos Rigol

We consider an open spin chain model with GL(N) bulk symmetry that is broken to GL(M) x GL(N-M) by the boundary, which is a generalization of a model arising in string/gauge theory. We prove the integrability of this model by constructing…

High Energy Physics - Theory · Physics 2015-05-14 Rafael I. Nepomechie

In generic classical and quantum many-body systems, where typically energy and particle number are the only conserved quantities, stationary states are described by thermal equilibrium. In contrast, integrable systems showcase an infinite…

Quantum Gases · Physics 2026-01-13 Alvise Bastianello , Alexey Tikan , Francois Copie , Stephane Randoux , Pierre Suret

Generalized Hydrodynamics is a recent theory that describes large scale transport properties of one dimensional integrable models. It is built on the (typically infinitely many) local conservation laws present in these systems, and leads to…

Statistical Mechanics · Physics 2020-03-11 Márton Borsi , Balázs Pozsgay , Levente Pristyák

By combining classical Monte Carlo and Bethe ansatz techniques we devise a numerical method to construct the Truncated Generalized Gibbs Ensemble (TGGE) for the spin-1/2 isotropic Heisenberg ($XXX$) chain. The key idea is to sample the…

Strongly Correlated Electrons · Physics 2015-07-28 Vincenzo Alba

After a quench, observables in an integrable system may not relax to the standard thermal values, but can relax to the ones predicted by the generalized Gibbs ensemble (GGE) [M. Rigol et al., Phys. Rev. Lett. 98, 050405 (2007)]. The GGE has…

Statistical Mechanics · Physics 2011-04-18 Amy C. Cassidy , Charles W. Clark , Marcos Rigol

Relaxed quantum systems with conservation laws are believed to be approximated by the Generalized Gibbs Ensemble (GGE), which incorporates the constraints of certain conserved quantities serving as integrals of motion. By drawing an analogy…

Statistical Mechanics · Physics 2025-12-09 Hao Chen , Biao Lian

The concept of generalized Gibbs ensembles (GGEs) has been introduced to describe steady states of integrable models. Recent advances show that GGEs can also be stabilized in nearly integrable quantum systems when driven by external fields…

Quantum Physics · Physics 2021-08-18 Florentin Reiter , Florian Lange , Shreyans Jain , Matt Grau , Jonathan P. Home , Zala Lenarčič

We construct integrable generalised models in a systematic way exploring different representations of the gl(N) algebra. The models are then interpreted in the context of atomic and molecular physics, most of them related to different types…

Strongly Correlated Electrons · Physics 2010-10-27 A. Foerster , E. Ragoucy

We build and analytically calculate the Generalised Gibbs Ensemble partition function of the integrable Soft Neumann Model. This is the model of a classical particle which is constrained to move, on average over the initial conditions, on…

Statistical Mechanics · Physics 2022-09-07 Damien Barbier , Leticia F. Cugliandolo , Gustavo S. Lozano , Nicolás Nessi

We numerically study the unitary time evolution of a nonintegrable model of hard-core bosons with an extensive number of local Z2 symmetries. We find that the expectation values of local observables in the stationary state are described…

Statistical Mechanics · Physics 2018-10-24 Ryusuke Hamazaki , Tatsuhiko N. Ikeda , Masahito Ueda
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