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Long-range interactions allow far-distance quantum correlations to build up very fast. Nevertheless, numerical simulations demonstrated a dramatic slowdown of entanglement entropy growth after a sudden quench. In this work, we unveil the…

Statistical Mechanics · Physics 2020-02-26 Alessio Lerose , Silvia Pappalardi

We review the non-zero temperature relaxational dynamics of quantum systems near a zero temperature, second-order phase transition. We begin with the quantum Ising chain, for which universal and exact results for the relaxation rates can be…

Strongly Correlated Electrons · Physics 2017-08-23 Subir Sachdev

We propose an experimental scheme to observe prethermalization and dynamical transition in one-dimensional XY spin chain with long range interaction and inhomogeneous lattice spacing, which can be readily implemented with the recently…

Quantum Physics · Physics 2013-11-28 Zhe-Xuan Gong , L. -M. Duan

We propose a relaxation time approximation for the description of the dynamics of strongly excited fermion systems. Our approach is based on time-dependent density functional theory at the level of the local density approximation. This…

Atomic and Molecular Clusters · Physics 2016-01-26 P. -G. Reinhard , E. Suraud

A quantum mechanical explanation of the relaxation to equilibrium is shown for macroscopic systems for nonintegrable cases and numerically verified. The macroscopic system is initially in an equilibrium state, subsequently externally…

Statistical Mechanics · Physics 2015-05-28 Takaaki Monnai

We consider models of open quantum spin systems with irreversible dynamics and show that general quasi-locality results for long-range models, e.g. as proven for the Heisenberg dynamics associated to quantum systems in [27], naturally…

Mathematical Physics · Physics 2025-07-11 Eric B. Roon , Robert Sims

We study the quantum Ising model in D dimensions with the equation of motion technique, in combination with the Majorana representation for spins. The decoupling scheme used for the Green's functions is based on the hierarchy of…

Strongly Correlated Electrons · Physics 2017-10-13 Álvaro Gómez-León

We consider the evolution of two-time correlations in the quantum XXZ spin-chain in contact with an environment causing dephasing. Extending quasi-exact time-dependent matrix product state techniques to consider the dynamics of two-time…

Strongly Correlated Electrons · Physics 2019-11-06 Stefan Wolff , Jean-Sebastien Bernier , Dario Poletti , Ameneh Sheikhan , Corinna Kollath

By applying complementary analytic and numerical methods, we investigate the dynamics of spin-$1/2$ XXZ models with variable-range interactions in arbitrary dimensions. The dynamics we consider is initiated from uncorrelated states that are…

The kinetics of domain growth and aging in conserved order parameter systems, in the presence of short-range interaction, is widely studied. Due to technical difficulties and lack of resources, regarding computation, the dynamics is still…

Statistical Mechanics · Physics 2023-04-12 Soumik Ghosh , Subir K. Das

A classical spin which is antiferromagnetically coupled to a system of strongly correlated conduction electrons is shown to exhibit unconventional real-time dynamics which cannot be described by Gilbert damping. Depending on the strength of…

Strongly Correlated Electrons · Physics 2016-09-19 Mohammad Sayad , Roman Rausch , Michael Potthoff

This paper presents a unified perspective on the results of two recent works (C. Buragohain and S. Sachdev cond-mat/9811083 and S. Sachdev cond-mat/9810399) along with additional background. We describe the low frequency, non-zero…

Strongly Correlated Electrons · Physics 2007-05-23 Subir Sachdev

We investigate nonequilibrium relaxations of Ising models at the critical point by using a cluster update. While preceding studies imply that nonequilibrium cluster-flip dynamics at the critical point are universally described by the…

Statistical Mechanics · Physics 2018-11-21 Yusuke Tomita , Yoshihiko Nonomura

The transition of sphaleron processes from non-equilibrium to thermal equilibrium in the early Universe is examined in detail. The relations between the damping rates and frequencies of the weak and QCD sphaleron degeneracy parameters are…

High Energy Physics - Phenomenology · Physics 2011-07-19 Luis Bento

One of the main questions of research on quantum many-body systems following unitary out of equilibrium dynamics is to find out how local expectation values equilibrate in time. For non-interacting models, this question is rather well…

Quantum Physics · Physics 2017-04-24 H. Wilming , M. Goihl , C. Krumnow , J. Eisert

We study equilibration properties of observables in long-range field theories after the mass quench in $d=1,2$ and $3$ dimensions. We classify the regimes where we expect equilibration or its absence in different dimensions. In addition we…

Strongly Correlated Electrons · Physics 2015-03-31 M. A. Rajabpour , S. Sotiriadis

The purely relaxational non-equilibrium dynamics of the quantum spherical model as described through a Lindblad equation is analysed. It is shown that the phenomenological requirements of reproducing the exact quantum equilibrium state as…

Quantum Physics · Physics 2018-01-24 Sascha Wald , Gabriel T. Landi , Malte Henkel

We study the mode-coupling theory for the Kardar-Parisi-Zhang equation in the strong-coupling regime, focusing on the long time properties. By a saddle point analysis of the mode-coupling equations, we derive exact results for the…

Statistical Mechanics · Physics 2009-10-31 Francesca Colaiori , M. A. Moore

We consider gapless models of statistical mechanics. At zero temperatures correlation functions decay asymptotically as powers of distance in these models. Temperature correlations decay exponentially. We used an example of solvable model…

High Energy Physics - Theory · Physics 2009-10-30 Vladimir Korepin , Nikita Slavnov

Simulating the real-time evolution of quantum spin systems far out of equilibrium poses a major theoretical challenge, especially in more than one dimension. We experimentally explore the dynamics of a two-dimensional Ising spin system with…