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We present a review of our recent work in extending the successful dynamical mean-field theory from the equilibrium case to nonequilibrium cases. In particular, we focus on the problem of turning on a spatially uniform, but possibly time…

Strongly Correlated Electrons · Physics 2008-08-14 V. Turkowski , J. K. Freericks

We show from first principles the emergence of classical Boltzmann equations from relativistic nonequilibrium quantum field theory as described by the Kadanoff-Baym equations. Our method applies to a generic quantum field, coupled to a…

High Energy Physics - Phenomenology · Physics 2012-12-20 Marco Drewes , Sebastian Mendizabal , Christoph Weniger

We discuss a non-equilibrium dynamical mean-field framework for simulating inhomogeneous Hubbard models with local disorders. Our approach treats electron interactions and disorders on equal footing, by considering only local dynamical…

Strongly Correlated Electrons · Physics 2023-12-27 Jiawei Yan , Philipp Werner

This paper describes perturbative framework, on the basis of the closed-time-path formalism, in terms of quasiparticle picture for studying quasiuniform relativistic quantum field systems near equilibrium and nonequilibrium quasistationary…

High Energy Physics - Theory · Physics 2016-08-15 A. Niégawa

We introduce a versatile method to compute electronic steady state properties of strongly correlated extended quantum systems out of equilibrium. The approach is based on dynamical mean-field theory (DMFT), in which the original system is…

Strongly Correlated Electrons · Physics 2013-03-05 Enrico Arrigoni , Michael Knap , Wolfgang von der Linden

The many-body formalism for dynamical mean-field theory is extended to treat nonequilibrium problems. We illustrate how the formalism works by examining the transient decay of the oscillating current that is driven by a large electric field…

Strongly Correlated Electrons · Physics 2013-05-29 J. K. Freericks , V. M. Turkowski , V. Zlatic

We develop a general theory of non-equilibrium states based on the Keldysh formalism, in particular, for charged-particle systems under static uniform electromagnetic fields. The Dyson equation for the uniform stationary state is rewritten…

Statistical Mechanics · Physics 2009-11-11 Shigeki Onoda , Naoyuki Sugimoto , Naoto Nagaosa

This paper presents an introduction to phase transitions and critical phenomena on the one hand, and nonequilibrium patterns on the other, using the Ginzburg-Landau theory as a unified language. In the first part, mean-field theory is…

Statistical Mechanics · Physics 2015-02-19 P. C. Hohenberg , A. P. Krekhov

Mean-field approaches where a complex fermionic many-body problem is replaced by an ensemble of independent particles in a self-consistent mean-field can describe many static and dynamical aspects. It generally provides a rather good…

Nuclear Theory · Physics 2015-06-18 Denis Lacroix , Sakir Ayik

This thesis is devoted to studying aspects of real-time nonequilibrium dynamics in quantum field theory by implementing an initial value formulation of quantum field theory. The main focus is on the linear relaxation of mean fields and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Shang-Yung Wang

We develop the nonequilibrium extension of bosonic dynamical mean field theory (BDMFT) and a Nambu real-time strong-coupling perturbative impurity solver. In contrast to Gutzwiller mean-field theory and strong coupling perturbative…

Quantum Gases · Physics 2015-04-03 Hugo U. R. Strand , Martin Eckstein , Philipp Werner

We consider a non-interacting one-dimensional gas accelerated by a constant and uniform external field. The energy absorbed from the field is transferred via elastic collisions to a bath of scattering obstacles. At gas-obstacle encounters…

Statistical Mechanics · Physics 2009-11-11 Jaroslaw Piasecki , Rodrigo Soto

An approach to the quantum-classical mechanics of phase space dependent operators, which has been proposed recently, is remodeled as a formalism for wave fields. Such wave fields obey a system of coupled non-linear equations that can be…

Quantum Physics · Physics 2007-05-23 Alessandro Sergi

We present a generalized dynamical mean-field approach for the nonequilibrium physics of a strongly correlated system in the presence of a time-dependent external field. The Keldysh Green's function formalism is used to study the…

Strongly Correlated Electrons · Physics 2007-05-23 P. Schmidt , H. Monien

We perform an ab-initio comparison between nonequilibrium dynamical mean-field theory and optical lattice experiments by studying the time evolution of double occupations in the periodically driven Fermi-Hubbard model. For off-resonant…

On the basis of the lattice Boltzmann method we have done a numerical experiment of a forced turbulence in real space and time. Our new findings are summarized into two points. First in the analysis of the mean-field behavior of the…

Statistical Mechanics · Physics 2007-05-23 W. Sakikawa , O. Narikiyo

As the quantification of metabolism, nonequilibrium steady states play a central role in living matter, but are beyond the purview of equilibrium statistical mechanics. Here we develop a fermionic theory of nonequilibrium steady states in…

Statistical Mechanics · Physics 2024-04-24 Eric De Giuli , Masanari Shimada

In this paper we discuss in detail the nonlinear equations of the mean--field approximation and their connection to the exact many--body Schr\"odinger equation. Then we analyze the mean--field approach and the nonlinear dynamics of a…

Nuclear Theory · Physics 2007-05-23 V. R. Manfredi , L. Salasnich

The quantum time evolution of \phi^4-field theory for a spatially homogeneous system in 2+1 space-time dimensions is investigated numerically for out-of-equilibrium initial conditions on the basis of the Kadanoff-Baym equations including…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. Juchem , W. Cassing , C. Greiner

Recent experimental advances in ultrafast phenomena have triggered renewed interest in the dynamics of correlated quantum systems away from equilibrium. We review nonequilibrium dynamical mean-field theory studies of both the transient and…

Strongly Correlated Electrons · Physics 2020-05-25 Herbert F. Fotso , James K. Freericks
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