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We demonstrate the role of interactions in driving the relaxation of an isolated integrable quantum system following a sudden quench. We consider a family of integrable hard-core lattice anyon models that continuously interpolates between…

Quantum Gases · Physics 2014-07-31 Tod M. Wright , Marcos Rigol , Matthew J. Davis , Karen V. Kheruntsyan

The quantum Mpemba effect (QME) is a phenomenon observed in many-body systems where initial systems configurations farther from equilibrium can be observed to equilibrate faster than configurations that are closer to it. By considering…

Quantum Physics · Physics 2026-04-14 Matthew Mackinnon , Mauro Paternostro

We identify and study classes of initial states in integrable quantum systems that, after the relaxation dynamics following a sudden quench, lead to near-thermal expectation values of few-body observables. In the systems considered here,…

Statistical Mechanics · Physics 2011-09-28 Marcos Rigol , Mattias Fitzpatrick

It has been recently observed for a particular quantum quench in the XXZ spin chain that local observables do not equilibrate to the predictions of the Generalized Gibbs Ensemble (GGE). In this work we argue that the breakdown of the GGE…

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

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

In this work, we investigate the heat exchange between two quantum systems whose initial equilibrium states are described by the generalized Gibbs ensemble. First, we generalize the fluctuation relations for heat exchange discovered by…

Quantum Physics · Physics 2018-09-13 Bo-Bo Wei

In this work we study the properties of the density density correlation function of the 1-D Lieb-Liniger model with infinite repulsion in the GGE regime. The GGE describes the equilibrated system in the long time limit after a quench from a…

Quantum Gases · Physics 2014-06-18 Garry Goldstein , Natan Andrei

We study the quantum relaxation dynamics for a lattice version of the one-dimensional (1D) $N$-flavor Gross-Neveu (GN) model after a Hamiltonian parameter quench. Allowing for a system-reservoir coupling $\gamma$, we numerically describe…

Statistical Mechanics · Physics 2026-05-04 Domenico Giuliano , Reinhold Egger , Bidyut Dey , Andrea Nava

We present a statistical mechanics framework for modeling equilibrium friction coefficients using the Generalized Langevin Equation (GLE). We show that the kernel, obtained via the Fluctuation-Dissipation Theorem (FDT) from the stochastic…

Plasma Physics · Physics 2026-05-01 N. R. Sree Harsha , Zhenyuan Yu , Chuang Ren , Virginia Billings , Michael Huang

This work introduces a novel class of channel estimators tailored for coarse quantization systems. The proposed estimators are founded on conditionally Gaussian latent generative models, specifically Gaussian mixture models (GMMs), mixture…

Signal Processing · Electrical Eng. & Systems 2023-12-19 Benedikt Fesl , Nurettin Turan , Benedikt Böck , Wolfgang Utschick

The coherent quantum evolution of a one-dimensional many-particle system after sweeping the Hamiltonian through a critical point is studied using a generalized quantum Ising model containing both integrable and non-integrable regimes. It is…

Strongly Correlated Electrons · Physics 2015-05-13 Frank Pollmann , Subroto Mukerjee , Andrew G. Green , Joel E. Moore

In Evolutionary Game Theory (EGT), a population reaches a Nash equilibrium when none of the agents can improve its objective by solely changing its strategy on its own. Roughly speaking, this equilibrium is a protection against betrayal.…

Computer Science and Game Theory · Computer Science 2025-04-24 Alejandro Luque-Cerpa , Miguel A. Gutiérrez-Naranjo

We study the long time behaviour of local observables following a quantum quench in 1+1 dimensional conformal field theories possessing additional conserved charges besides the energy. We show that the expectation value of an arbitrary…

High Energy Physics - Theory · Physics 2015-09-02 Gautam Mandal , Ritam Sinha , Nilakash Sorokhaibam

We study numerically and analytically the quench dynamics of isolated many-body quantum systems. Using full random matrices from the Gaussian orthogonal ensemble, we obtain analytical expressions for the evolution of the survival…

Statistical Mechanics · Physics 2018-03-07 E. J. Torres-Herrera , Antonio M. García-García , Lea F. Santos

In recent years, numerical simulations with Gaussian initial states have demonstrated the existence of a quantum bounce in loop quantum cosmology in various models. A key issue pertaining to the robustness of the bounce and the associated…

General Relativity and Quantum Cosmology · Physics 2015-01-09 Peter Diener , Brajesh Gupt , Miguel Megevand , Parampreet Singh

Understanding the non-equilibrium dynamics of extended quantum systems after the trigger of a sudden, global perturbation (quench) represents a daunting challenge, especially in the presence of interactions. The main difficulties stem from…

Strongly Correlated Electrons · Physics 2009-11-13 Alexandre Faribault , Pasquale Calabrese , Jean-Sebastien Caux

Lattice gauge theories (LGTs) form an intriguing class of theories highly relevant to both high-energy particle physics and low-energy condensed matter physics with the rapid development of engineered quantum devices providing new tools to…

High Energy Physics - Lattice · Physics 2022-06-22 Rasmus Berg Jensen , Simon Panyella Pedersen , Nikolaj Thomas Zinner

Fluctuation-dissipation relations, i.e., the relation between two-time correlation and linear response functions, were successfully used to search for signs of equilibration and to identify effective temperatures in the non-equilibrium…

Statistical Mechanics · Physics 2015-06-05 Laura Foini , Leticia F. Cugliandolo , Andrea Gambassi

We study the quench dynamics of one dimensional bosons or fermion quantum gases with either attractive or repulsive contact interactions. Such systems are well described by the Gaudin-Yang model which turns out to be quantum integrable. We…

Quantum Gases · Physics 2018-03-14 Huijie Guan , Natan Andrei

In general, isolated integrable quantum systems have been found to relax to an apparent equilibrium state in which the expectation values of few-body observables are described by the generalized Gibbs ensemble. However, recent work has…

Quantum Gases · Physics 2013-07-03 Kai He , Lea F. Santos , Tod M. Wright , Marcos Rigol