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We study the non-equilibrium dynamics (purely dissipative and relaxational) in a semi-infinite system following a quench from the high temperature disordered phase to its critical temperature. We show that the local autocorrelation near the…

凝聚态物理 · 物理学 2009-10-28 Satya N. Majumdar , Anirvan M. Sengupta

We establish a generic method to analyze the time evolution of open quantum many-body systems. Our approach is based on a variational integration of the quantum master equation describing the dynamics and naturally connects to a variational…

量子物理 · 物理学 2017-09-29 Vincent R. Overbeck , Hendrik Weimer

Time evolution of a perturbed thermal state is studied in a quantum-mechanical system with O(N) symmetry. In the limit of large N, time dependence of O(N)-singlet expectation values can be described by classical equations of motion in a…

量子物理 · 物理学 2009-03-26 P. V. Buividovich

We study electric field quench in N=2 strongly coupled gauge theory, using the AdS/CFT correspondence. To do so, we consider the aforementioned system which is subjected to a time-dependent electric field indicating an out of equilibrium…

高能物理 - 理论 · 物理学 2016-06-29 S. Amiri-Sharifi , M. Ali-Akbari , H. R. Sepangi

In this work a generalization of Onsager-Machlup's theory of time-dependent thermal fluctuations of equilibrium systems is proposed, to the case in which the system relaxes irreversibly along a non-equilibrium trajectory that can be…

统计力学 · 物理学 2009-08-05 M. Medina-Noyola

The density linear response function for an inhomogeneous system of electrons in equilibrium with an array of fixed ions is considered. Two routes to its evaluation for extreme conditions (e.g., warm dense matter) are considered. The first…

统计力学 · 物理学 2018-09-12 James Dufty , Kai Luo , S. B. Trickey

We present here a brief overview of our work in developing a convolutionless quantum master equation approach suitable for mesoscopic sized systems. Our final equation can be used in the regimes where the golden rule approach is not…

材料科学 · 物理学 2007-05-23 Eric R. Bittner , Andrey Pereverzev

The nonexponential relaxation and aging inherent to complex dynamics manifested in a wide variety of dissipative systems is analyzed through a model of diffusion in phase space in the presence of a nonconservative force. The action of this…

统计力学 · 物理学 2009-11-11 A. Perez-Madrid

The density functional theory (DFT) is a remarkably successful theory of electronic structure of matter. At the foundation of this theory lies the Kohn-Sham (KS) equation. In this paper, we describe the long-time behaviour of the…

偏微分方程分析 · 数学 2021-05-11 Fabio Pusateri , Israel Michael Sigal

In this article, we formulate the study of the unitary time evolution of systems consisting of an infinite number of uncoupled time-dependent harmonic oscillators in mathematically rigorous terms. We base this analysis on the theory of a…

数学物理 · 物理学 2009-10-06 Daniel Gómez Vergel , Eduardo J. S. Villaseñor

The concept of time correlation functions is a very convenient theoretical tool in describing relaxation processes in multiparticle systems because, on one hand, correlation functions are directly related to experimentally measured…

统计力学 · 物理学 2019-09-05 Anatolii V. Mokshin

We prove that quantum many-body systems on a one-dimensional lattice locally relax to Gaussian states under non-equilibrium dynamics generated by a bosonic quadratic Hamiltonian. This is true for a large class of initial states - pure or…

量子物理 · 物理学 2015-05-14 M. Cramer , J. Eisert

We extend to nonequilibrium processes our recent theory for the long time dynamics of flexible chain molecules. While the previous theory describes the equilibrium motions for any bond or interatomic separation in (bio)polymers by time…

软凝聚态物质 · 物理学 2009-10-31 Wilfred H. Tang , Konstantin S. Kostov , Karl F. Freed

One route to numerically propagating quantum systems is time-dependent density functional theory (TDDFT). The application of TDDFT to a particular system's time evolution is predicated on $V$-representability which we have analyzed in a…

量子物理 · 物理学 2020-10-27 James Brown , Jun Yang , James D Whitfield

A field theory approach for the nonequilibrium relaxation dynamics in open systems at late times is developed. In the absence of conservation laws, all excitations are subject to dissipation. Nevertheless, ordered stationary states satisfy…

统计力学 · 物理学 2024-04-04 Johannes Lang , Michael Buchhold , Sebastian Diehl

A real-space representation of the current response of many-electron systems with possible applications to x-ray nonlinear spectroscopy and magnetic susceptibilities is developed. Closed expressions for the linear, quadratic and third-order…

强关联电子 · 物理学 2009-11-10 Oleg Berman , Shaul Mukamel

We study the relaxation of a non-equilibrium carrier distribution under the influence of the electron-electron interaction in the presence of disorder. Based on the Anderson model, our Hamiltonian is composed from a single particle part…

无序系统与神经网络 · 物理学 2008-02-15 Peter Bozsoki , Imre Varga , Henning Schomerus

We extend the Runge-Gross theorem for a very general class of Markovian and non-Markovian open quantum systems under weak assumptions about the nature of the bath and its coupling to the system. We show that for Kohn-Sham (KS)…

材料科学 · 物理学 2011-02-09 Joel Yuen-Zhou , David G. Tempel , César Rodríguez-Rosario , Alán Aspuru-Guzik

The assumption that quantum systems relax to a stationary state in the long-time limit underpins statistical physics and much of our intuitive understanding of scientific phenomena. For isolated systems this follows from the eigenstate…

量子物理 · 物理学 2019-04-16 Berislav Buca , Joseph Tindall , Dieter Jaksch

Minimal models of active and driven particles have recently been used to elucidate many properties non-equilibrium systems. However, the relation between energy consumption and changes in the structure and transport properties of these…

软凝聚态物质 · 物理学 2017-08-03 Clara del Junco , Laura Tociu , Suriyanarayanan Vaikuntanathan