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We provide an overview of our numerical and analytical studies of isolated interacting quantum systems that are quenched out of equilibrium instantaneously. We describe the relaxation process to a new equilibrium and obtain lower bounds for…

统计力学 · 物理学 2016-04-04 E. J. Torres-Herrera , Davida Kollmar , Lea F. Santos

The nonexponential relaxation ocurring in complex dynamics manifested in a wide variety of systems is analyzed through a simple model of diffusion in phase space. It is found that the inability of the system to find its equilibrium state in…

统计力学 · 物理学 2009-11-10 A. Perez-Madrid

Nonlinear response theory, in contrast to linear cases, involves (dynamical) details, and this makes application to many body systems challenging. From the microscopic starting point we obtain an exact response theory for a small number of…

统计力学 · 物理学 2018-05-09 Urna Basu , Laurent Helden , Matthias Krüger

We algebraically prove the asymmetry in thermal relaxation in phase space in the entire range from overdamped dynamics to underdamped dynamics. We show that for the same setup as for overdamped dynamics, even in the more general case of…

统计力学 · 物理学 2026-03-20 Cai Dieball , Aljaž Godec

We calculate the far-from-equilibrium dynamics and thermalization both for the quantum and the classical O(N)--model. The early and late-time behavior can be described from the 2PI--loop expansion for weak couplings or the nonperturbative…

高能物理 - 唯象学 · 物理学 2009-11-07 J. Berges

This thesis is devoted to the theoretical study of slow thermodynamic processes in non-equilibrium stochastic systems. Its main result is a physically and mathematically consistent construction of relevant thermodynamic quantities in the…

统计力学 · 物理学 2014-07-29 Jiří Pešek

We investigate how relativistic, nonabelian plasmas approach equilibrium in a general context. Our treatment is entirely parametric and for small Yang-Mills coupling $\alpha$. First we study isotropic systems with an initially…

高能物理 - 唯象学 · 物理学 2015-05-28 Aleksi Kurkela , Guy D. Moore

Thermalization in an expanding parton plasma is studied within the framework of Boltzmann equation in the absence of any mean fields. In particular, we study the time-dependence of the relaxation time to the lowest order in finite…

高能物理 - 唯象学 · 物理学 2009-10-28 H. Heiselberg , Xin-Nian Wang

Non-equilibrium time evolution in isolated many-body quantum systems generally results in thermalization. However, the relaxation process can be very slow, and quasi-stationary non-thermal plateaux are often observed at intermediate times.…

统计力学 · 物理学 2017-07-06 Vincenzo Alba , Maurizio Fagotti

Thermalization in highly excited quantum many-body system does not necessarily mean a complete memory loss of the way the system was formed. This effect may pave a way for a quantum computing, with a large number of qubits $n\simeq…

量子物理 · 物理学 2008-12-19 M. Bienert , J. Flores , S. Yu. Kun , T. H. Seligman

A characteristic feature of thermalized non-equilibrated matter is that, in spite of energy relaxation--equilibration, a phase memory of the way the many-body system was excited remains. As an example, we analyze data on a strong forward…

超导电性 · 物理学 2011-11-09 L. Benet , M. Bienert , S. Yu. Kun

We propose that rapidity dependent momentum correlations can be used to extract the shear relaxation time $\tau_\pi$ of the medium formed in high energy nuclear collisions. The stress-energy tensor in an equilibrium quark-gluon plasma is…

核理论 · 物理学 2019-02-20 George Moschelli , Sean Gavin

An analytical prediction is established of how an isolated many-body quantum system relaxes towards its thermal long-time limit under the action of a time-independent perturbation, but still remaining sufficiently close to a reference case…

统计力学 · 物理学 2020-03-25 Lennart Dabelow , Peter Reimann

A central question in heavy-ion collisions is how the initial far-from-equilibrium medium evolves and thermalizes while it undergoes a rapid longitudinal expansion. In this work we use the two-particle irreducible (2PI) effective action for…

高能物理 - 唯象学 · 物理学 2025-04-08 François Gelis , Sigtryggur Hauksson

We briefly review some equilibrium and nonequilibrium properties of systems with long-range interactions. Such systems, which are characterized by a potential that weakly decays at large distances, have striking properties at equilibrium,…

统计力学 · 物理学 2009-11-13 Stefano Ruffo

Ultrafast laser excitation of a metal causes correlated, highly nonequilibrium dynamics of electronic and ionic degrees of freedom, which are however only poorly captured by the widely-used two-temperature model. Here we develop an…

材料科学 · 物理学 2017-12-06 Pablo Maldonado , Karel Carva , Martina Flammer , Peter M. Oppeneer

Calculations of nonequilibrium processes become increasingly feasable in quantum field theory from first principles. There has been important progress in our analytical understanding based on 2PI generating functionals. In addition, for the…

高能物理 - 理论 · 物理学 2010-02-04 J. Berges , Sz. Borsanyi

We address the problem of understanding from first principles the conditions under which a quantum system equilibrates rapidly with respect to a concrete observable. On the one hand previously known general upper bounds on the time scales…

We investigate the low-temperature dynamics of a simple stochastic model, introduced recently in the context of the physics of glasses. The slowest characteristic time at equilibrium diverges exponentially at low temperature. On smaller…

统计力学 · 物理学 2009-10-30 C Godreche , J M Luck

Isolated quantum systems typically approach thermal equilibrium as described by the Eigenstate Thermalization Hypothesis (ETH). Going beyond this involves either higher order correlators (full thermalization) or the formation of state…

量子物理 · 物理学 2026-05-01 Tabea Herrmann , Felix Fritzsch , Arnd Bäcker