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For homogeneous initial conditions, Hartree (gaussian) dynamical approximations are known to have problems with thermalization, because of insufficient scattering. We attempt to improve on this by writing an arbitrary density matrix as a…

高能物理 - 唯象学 · 物理学 2009-10-31 M. Salle , J. Smit , J. C. Vink

We propose a new approximation-technique to deal with the exact macroscopic integro-differential evolution equations of statistical systems which self-consistently accounts for dissipative effects. Concentrating on one and two point…

高能物理 - 唯象学 · 物理学 2007-05-23 Herbert Nachbagauer

We present a new perturbative formulation of non-equilibrium thermal field theory, based upon non-homogeneous free propagators and time-dependent vertices. The resulting time-dependent diagrammatic perturbation series are free of pinch…

高能物理 - 唯象学 · 物理学 2013-07-31 Peter Millington , Apostolos Pilaftsis

We study the time evolution of correlation functions in closed quantum systems for nonequilibrium ensembles of initial conditions. For a scalar quantum field theory we show that generic time-reversal invariant evolutions approach…

高能物理 - 唯象学 · 物理学 2010-02-04 J. Berges , J. Cox

We report on recent results concerning the derivation of effective evolution equations starting from many body quantum dynamics. In particular, we obtain rigorous derivations of nonlinear Hartree equations in the bosonic mean field limit,…

数学物理 · 物理学 2012-08-02 Benjamin Schlein

We perform a detailed numerical investigation of the dynamics of broken symmetry $\lambda \phi^4$ field theory in 1+1 dimensions using a Schwinger-Dyson equation truncation scheme based on ignoring vertex corrections. In an earlier paper,…

高能物理 - 唯象学 · 物理学 2014-11-17 Fred Cooper , John F. Dawson , Bogdan Mihaila

Quantum systems in extreme conditions can exhibit universal behavior far from equilibrium associated to nonthermal fixed points with a wide range of topical applications from early-universe inflaton dynamics and heavy-ion collisions to…

高能物理 - 唯象学 · 物理学 2025-01-27 Jürgen Berges , Benjamin Wallisch

The integrable system is constrained strictly by the conservation law during the time evolution, and the nearly integrable system or nonintegrable system is also constrained by the conserved parameters (like the constants of motion) with…

统计力学 · 物理学 2017-11-10 Chen-Huan Wu

Using a Hartree ensemble approximation, we investigate the dynamics of the \f^4 model in 1+1 dimensions. We find that the fields initially thermalize with a Bose-Einstein distribution for the fields. Gradually, however, the distribution…

高能物理 - 唯象学 · 物理学 2017-08-23 M. Salle , J. Smit , J. C. Vink

We study nonequilibrium evolution in a self-interacting quantum field theory invariant under space translation only by using a canonical approach based on the recently developed Liouville-von Neumann formalism. The method is first used to…

高能物理 - 唯象学 · 物理学 2009-11-10 Supratim Sengupta , F. C. Khanna , Sang Pyo Kim

We study the dynamics of a spatially inhomogeneous quantum $\lambda \phi^4$ field theory in 1+1 dimensions in the Hartree approximation. In particular, we investigate the long-time behavior of this approximation in a variety of controlled…

高能物理 - 唯象学 · 物理学 2009-11-07 Luis M. A. Bettencourt , Karen Pao , J. G. Sanderson

Real-time perturbation theory is formulated for complex scalar fields away from thermal equilibrium in such a way that dissipative effects arising from the absorptive parts of loop diagrams are approximately resummed into the unperturbed…

高能物理 - 理论 · 物理学 2009-10-30 I. D. Lawrie , D. B. McKernan

We study under which conditions an overdamped regime can be attained in the dynamic evolution of a quantum field configuration. Using a real-time formulation of finite temperature field theory, we compute the effective evolution equation of…

高能物理 - 唯象学 · 物理学 2011-05-05 Arjun Berera , Marcelo Gleiser , Rudnei O. Ramos

The $\lambda \phi^4$ model in a finite volume is studied within a non-gaussian Hartree-Fock approximation (tdHF) both at equilibrium and out of equilibrium, with particular attention to the structure of the ground state and of certain…

高能物理 - 唯象学 · 物理学 2009-10-31 C. Destri , E. Manfredini

Nonequilibrium dynamics in quantum field theory has been studied extensively using truncations of the 2PI effective action. Both 1/N and loop expansions beyond leading order show remarkable improvement when compared to mean-field…

高能物理 - 理论 · 物理学 2008-11-26 Gert Aarts , Anders Tranberg

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

Nonequilibrium quantum field theory is often used to derive an approximation for the evolution of number densities and asymmetries in astroparticle models when a more precise treatment of quantum thermal effects is required. This work…

高能物理 - 唯象学 · 物理学 2022-03-14 Tomáš Blažek , Peter Maták

Many quantum field theoretical models possess non-trivial solutions which are stable for topological reasons. We construct a self-consistent example for a self-interacting scalar field--the quantum (or dressed) kink--using a two particle…

高能物理 - 理论 · 物理学 2009-11-10 Y. Bergner , Luis M. A. Bettencourt

In this article we give an overview of the concept of universal dynamics near non-thermal fixed points in isolated quantum many-body systems. We outline a non-perturbative kinetic theory derived within a Schwinger-Keldysh closed-time…

量子气体 · 物理学 2019-11-13 Christian-Marcel Schmied , Aleksandr N. Mikheev , Thomas Gasenzer

We review recent progress in the nonequilibrium dynamics of thermally isolated many-body quantum systems, evolving with an ensemble of Hamiltonians as opposed to deterministic evolution with a single time-dependent Hamiltonian. Such…

统计力学 · 物理学 2013-10-07 Armin Rahmani