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We study the real-time evolution of a self-interacting O(N) scalar field initially prepared in a pure quantum state. We present a complete solution of the nonequilibrium quantum dynamics from a 1/N-expansion of the two-particle-irreducible…

High Energy Physics - Phenomenology · Physics 2010-11-11 Alexandre Giraud , Julien Serreau

An effective action technique for the time evolution of a closed system consisting of one or more mean fields interacting with their quantum fluctuations is presented. By marrying large $N$ expansion methods to the Schwinger-Keldysh closed…

High Energy Physics - Phenomenology · Physics 2008-11-26 Fred Cooper , Salman Habib , Yuval Kluger , Emil Mottola , Juan Pablo Paz , Paul R. Anderson

We establish the equivalence between the quantum evolution of spatially homogeneous oscillations of a scalar field and that of an analogous classical system with certain random initial condition. We argue that this observation can be used…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. T. Son

We study a first-order formulation for the coupled evolution of a quantum scalar field and a classical Friedmann universe. The model is defined by a state dependent hamiltonian constraint and the time dependent Schr\"odinger equation for…

General Relativity and Quantum Cosmology · Physics 2021-12-20 Viqar Husain , Suprit Singh

Thermalization of classical fields is investigated in a \phi^4 scalar field theory in 1+1 dimensions, discretized on a lattice. We numerically integrate the classical equations of motion using initial conditions sampled from various…

High Energy Physics - Phenomenology · Physics 2009-10-31 Gert Aarts , Gian Franco Bonini , Christof Wetterich

We investigate quantum effects in the evolution of general systems. For studying such temporal quantum phenomena, it is paramount to have a rigorous concept and profound understanding of the classical dynamics in such a system in the first…

Quantum Physics · Physics 2020-06-02 J. Sperling , I. A. Walmsley

Transport or kinetic equations are often derived assuming a quasi-particle (on-shell) representation of the spectral function. We investigate this assumption using a three-loop approximation of the 2PI effective action in real time, without…

High Energy Physics - Phenomenology · Physics 2010-02-04 G. Aarts , J. Berges

The nonperturbative real-time evolution of quantum fields out of equilibrium is often solved using a mean-field or Hartree approximation or by applying effective action methods. In order to investigate the validity of these truncations, we…

High Energy Physics - Phenomenology · Physics 2017-08-23 Gert Aarts

The time evolution of O(N) symmetric lambda Phi^4 scalar field theory is studied in the large N limit. In this limit the <Phi> mean field and two-point correlation function <Phi Phi> evolve together as a self-consistent closed Hamiltonian…

High Energy Physics - Phenomenology · Physics 2016-09-06 Fred Cooper , Salman Habib , Yuval Kluger , Emil Mottola

Due to the inevitable existence of quantum effects, a classical description generically breaks down after a finite quantum break-time $t_q$. We aim to find criteria for determining $t_q$. To this end, we construct a new prototype model that…

Quantum Physics · Physics 2025-01-28 Marco Michel , Sebastian Zell

Motivated by the problem of thermalization in heavy-ion collisions, we present numerical simulations of the nonequilibrium evolution of the O(N) model in 1+2 dimensions with longitudinal expansion and in the presence of a background field.…

High Energy Physics - Phenomenology · Physics 2015-06-05 Yoshitaka Hatta , Akihiro Nishiyama

We study the evolution of the coupled scalar and fermion fields within the classical field theory. We examine the case of N coupled fields in 1+3 dimensional space. The general expressions for the fields distributions are obtained. The…

High Energy Physics - Phenomenology · Physics 2008-07-31 Maxim Dvornikov

We adopt the general formalism, which was developed in Paper I (arXiv:0708.1233) to analyze the evolution of a quantized time-dependent oscillator, to address several questions in the context of quantum field theory in time dependent…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Gaurang Mahajan , T. Padmanabhan

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…

Quantum Physics · Physics 2009-03-26 P. V. Buividovich

Real-time evolution of replicas of classical field is proposed as an approximate simulator of real-time quantum field dynamics at finite temperatures. We consider $N$ classical field configurations dubbed as replicas which interact with…

High Energy Physics - Lattice · Physics 2020-11-02 Akira Ohnishi , Hidefumi Matsuda , Teiji Kunihiro , Toru T. Takahashi

We found the deviation of the equation of state from ultrarelativistic one due to quantum corrections for a nonequilibrium longitudinally expanding scalar field. Relaxation of highly excited quantum field is usually described in terms of…

High Energy Physics - Phenomenology · Physics 2019-02-20 A. V. Leonidov , A. A. Radovskaya

The descriptions of the quantum realm and the macroscopic classical world differ significantly not only in their mathematical formulations but also in their foundational concepts and philosophical consequences. When and how physical systems…

Quantum Physics · Physics 2008-12-02 Johannes Kofler

By considering (non-relativistic) quantum mechanics as it is done in practice in particular in condensed-matter physics, it is argued that a deterministic, unitary time evolution within a chosen Hilbert space always has a limited scope,…

Quantum Physics · Physics 2017-10-03 Barbara Drossel

The classical and quantum dynamics for an n-dimensional generalization of the kicked planar (n=1) rotator in an additional effective centrifugal potential. Therefore, typical phenomena like the diffusion in classical phase space are similar…

chao-dyn · Physics 2009-10-28 Georg Junker , Harald Karl , Hajo Leschke

We investigate the thermodynamical properties of quantum fields in curved spacetime. Our approach is to consider quantum fields in curved spacetime as a quantum system undergoing an out-of-equilibrium transformation. The non-equilibrium…

Quantum Physics · Physics 2016-01-14 Nana Liu , John Goold , Ivette Fuentes , Vlatko Vedral , Kavan Modi , David Edward Bruschi