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A major open question in studies of nonequilibrium quantum dynamics is the identification of the time scales involved in the relaxation process of isolated quantum systems that have many interacting particles. We demonstrate that long time…

统计力学 · 物理学 2019-05-30 Mauro Schiulaz , E. Jonathan Torres-Herrera , Lea F. Santos

While there are well established methods to study delocalization transitions of single particles in random systems, it remains a challenging problem how to characterize many body delocalization transitions. Here, we use a generalized…

无序系统与神经网络 · 物理学 2015-09-28 N. Moure , S. Haas , S. Kettemann

We consider several models with long-range interactions evolving via Hamiltonian dynamics. The microcanonical dynamics of the basic Hamiltonian Mean Field (HMF) model and perturbed HMF models with either global anisotropy or an on-site…

统计力学 · 物理学 2009-11-13 Kavita Jain , Freddy Bouchet , David Mukamel

We study the dynamics of an heteropolymeric chain relaxing toward a new equilibrium configuration after the action of an external perturbation. We compare the results from Monte Carlo simulations with the results of a Langevin normal mode…

高能物理 - 格点 · 物理学 2008-02-03 G. Iori , E. Marinari , G. Parisi

We numerically study the relaxation of correlation functions in weakly perturbed integrable XXZ chain. The decay of the spin-current and the energy-current correlations at zero magnetization are well described by single, but quite distinct,…

强关联电子 · 物理学 2022-08-08 M. Mierzejewski , J. Pawłowski , P. Prelovšek , J. Herbrych

We review various theoretical methods that have been used in recent years to calculate dynamical correlation functions of many-body systems. Time-dependent correlation functions and their associated frequency spectral densities are the…

统计力学 · 物理学 2020-06-01 J. Florencio , O. F. de Alcantara Bonfim

Many-body localization is characterized by a slow logarithmic growth of the entanglement entropy after a global quantum quench while the local memory of an initial density imbalance remains at infinite time. We investigate how much the…

无序系统与神经网络 · 物理学 2017-05-30 David J. Luitz , Nicolas Laflorencie , Fabien Alet

In studying the time evolution of isolated many-body quantum systems, a key focus is determining whether the system undergoes relaxation and reaches a steady state at a given point in time. Traditional approaches often rely on specific…

量子物理 · 物理学 2025-06-23 Jiaju Zhang , M. A. Rajabpour , Markus Heyl , Reyhaneh Khasseh

Long-range interacting systems, while relaxing towards equilibrium, may get trapped in nonequilibrium quasistationary states (QSS) for a time which diverges algebraically with the system size. These intriguing non-Boltzmann states have been…

统计力学 · 物理学 2013-12-03 Shamik Gupta , David Mukamel

We investigate the short-time dynamic relaxation of the two-dimensional XY model in the high temperature phase. Starting from the ordered state, we measure the autocorrelation function and determine the autocorrelation time. It is shown…

统计力学 · 物理学 2009-10-31 Andreas Jaster

Long-range interacting many-body systems exhibit a number of peculiar and intriguing properties. One of those is the scaling of relaxation times with the number $N$ of particles in a system. In this paper I give a survey of results on…

统计力学 · 物理学 2017-02-14 Michael Kastner

We investigate thermalization in a tight-binding chain with an on-site defect subject to local dephasing noise implemented as random phase kicks. For a single linear defect of strength $\epsilon$, we obtain an exact analytical description…

统计力学 · 物理学 2026-02-27 Debraj Das , Andrea Gambassi , Stefano Iubini , Stefano Lepri

Relaxation and correlation times are two parameters used frequently in approximate descriptions of the time development of hadronizing system from some initial state towards distributions observed experimentally. Chosen to reproduce the…

高能物理 - 唯象学 · 物理学 2021-07-07 Maciej Rybczynski , Grzegorz Wilk , Zbigniew Wlodarczyk

Within a nonperturbative dynamical two-body approach - based on coupled equations of motion for the one-body density matrix and the two-body correlation function - we study the distribution of occupation numbers in a correlated system close…

核理论 · 物理学 2009-10-22 Andreas Peter , Wolfgang Cassing , Joern M. Haeuser , Alfred Pfitzner

Using exact diagonalization technique, we investigate the many-body localization phenomenon in the 1D Heisenberg chain comparing several disorder models. In particular we consider a family of discrete distributions of disorder strengths and…

无序系统与神经网络 · 物理学 2018-04-25 Jakub Janarek , Dominique Delande , Jakub Zakrzewski

The relaxation of many-body system is still a challenging problem that has not well been understood. In this work we exactly calculate the dynamics of the quantum $XY$ model with boundary dissipation, in which the density matrix in terms of…

强关联电子 · 物理学 2020-05-06 Shun-Yao Zhang , Ming Gong , Guang-Can Guo , Zheng-Wei Zhou

The localization in a disordered system of $N$ interacting spins coupled by the long-range anisotropic interaction $1/R^{\alpha}$ is investigated using a finite size scaling in a $d=1$ -dimensional system for $N=8, 10, 12, 14$. The results…

无序系统与神经网络 · 物理学 2015-03-11 Alexander L. Burin

We study the spatio-temporal spreading of correlations in an ensemble of spins due to dissipation characterized by short- and long-range spatial profiles. We consider systems initially in an uncorrelated state, and find that correlations…

量子气体 · 物理学 2022-05-25 Kushal Seetharam , Alessio Lerose , Rosario Fazio , Jamir Marino

We study numerically the relaxation of a driven elastic string in a two dimensional pinning landscape. The relaxation of the string, initially flat, is governed by a growing length $L(t)$ separating the short steady-state equilibrated…

无序系统与神经网络 · 物理学 2007-05-23 Alejandro B. Kolton , Alberto Rosso , Ezequiel V. Albano , Thierry Giamarchi

The nonequilibrium dynamics of correlated charge transfer along a one-dimensional chain in presence of a phonon environment is investigated within a dissipative Hubbard model. For this generalization of the ubiquitous spin-boson model the…

统计力学 · 物理学 2009-11-11 Lothar Muehlbacher , Joachim Ankerhold
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