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The nonequilibrium dynamics of quantum fields is studied in inflationary cosmology, with particular emphasis on applications to the problem of post-inflation reheating. The Schwinger-Keldysh closed-time-path (CTP) formalism is utilized…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Stephen A. Ramsey

We present the Heisenberg-picture approach to the quantum evolution of the scalar fields in an expanding FRW universe which incorporates relatively simply the initial quantum conditions such as the vacuum state, the thermal equilibrium…

General Relativity and Quantum Cosmology · Physics 2009-10-30 K. H. Cho , J. Y. Ji , S. P. Kim , C. H. Lee , J. Y. Ryu

We discuss the non-equilibrium time evolution of the phase field in the sine-Gordon model using two very different approaches: the truncated Wigner approximation and the truncated conformal space approach. We demonstrate that the two…

Quantum Gases · Physics 2019-07-17 D. X. Horvath , I. Lovas , M. Kormos , G. Takacs , G. Zarand

The integral Wigner - Liouwille equation describing time evolution of the semi-relativistic quantum 1D harmonic oscillator have been exactly solved by combination of the Monte-Carlo procedure and molecular dynamics methods. The strong…

Quantum Physics · Physics 2015-06-12 A. S. Larkin , V. S. Filinov

We study the dynamics of relaxation and thermalization in an exactly solvable model with the goal of understanding the effects of off-shell processes. The focus is to compare the exact evolution of the distribution function with different…

High Energy Physics - Phenomenology · Physics 2016-08-25 S. M. Alamoudi , D. Boyanovsky , H. J. de Vega , R. Holman

Previously, an explicit solution for the time evolution of the Wigner function was presented in terms of auxiliary phase space coordinates which obey simple equations that are analogous with, but not identical to, the classical equations of…

Quantum Physics · Physics 2009-11-07 Cheuk-Yin Wong

We study the dynamical evolution of coupled one- and two-point functions of a scalar field in the 2PI framework at the Hartree approximation, including backreaction from out-of-equilibrium modes. We renormalize the 2PI equations of motion…

High Energy Physics - Phenomenology · Physics 2022-01-04 Kimmo Kainulainen , Olli Koskivaara

We study the problem of evolution of a density pulse of one-dimensional interacting fermions with a non-linear single-particle spectrum. We show that, despite non-Fermi-liquid nature of the problem, non-equilibrium phenomena can be…

Strongly Correlated Electrons · Physics 2014-04-30 I. V. Protopopov , D. B. Gutman , M. Oldenburg , A. D. Mirlin

Recent experiments of fluid transport in nano-channels have shown evidence of a coupling between charge-fluctuations in polar fluids and electronic excitations in graphene solids, which may lead to a significant reduction of friction a…

Mesoscale and Nanoscale Physics · Physics 2025-03-30 S. Succi , M. Lauricella , A. Tiribocchi

We discuss the ringdown behavior of the nonequilibrium Green's function in a strongly coupled theory with the holographic dual with a focus on quasinormal-mode equilibration. We study the time resolved spectral function for a probe scalar…

High Energy Physics - Theory · Physics 2016-06-07 Takaaki Ishii

The efficient numerical simulation of nonequilibrium real-time evolution in isolated quantum matter constitutes a key challenge for current computational methods. This holds in particular in the regime of two spatial dimensions, whose…

Strongly Correlated Electrons · Physics 2020-09-09 Markus Schmitt , Markus Heyl

The quantum evolution of the Wigner function for Gaussian wave packets generated by a non-Hermitian Hamiltonian is investigated. In the semiclassical limit $\hbar\to 0$ this yields the non-Hermitian analog of the Ehrenfest theorem for the…

Quantum Physics · Physics 2011-07-04 Eva-Maria Graefe , Roman Schubert

We derive quantum Boltzmann equations from Schwinger-Dyson equations in gradient expansion for a weakly coupled scalar field theory with a spatially varying mass. We find that at higher order in gradients a full description of the system…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michael Joyce , Kimmo Kainulainen , Tomislav Prokopec

The evolution of a passive scalar field is considered for a slowly varying stratified medium, which is convected in an incompressible sheared flow with many overlapping static flux islands. Within the quasilinear/random phase approximation,…

Plasma Physics · Physics 2019-12-03 Kurt S. Riedel

Collective orders and photo-induced phase transitions in quantum matter can evolve on timescales which are orders of magnitude slower than the femtosecond processes related to electronic motion in the solid. Quantum Boltzmann equations can…

Strongly Correlated Electrons · Physics 2021-08-11 Antonio Picano , Jiajun Li , Martin Eckstein

A Fokker-Planck equation for the Wigner function evolution in a noisy Kerr medium ($\chi^{(3)}$ non-linearity) is presented. We numerically solved this equation taking a coherent state as an initial condition. The dissipation effects are…

Quantum Physics · Physics 2010-05-04 Magdalena Stobińska , G. J. Milburn , Krzysztof Wódkiewicz

We develop quantum electrodynamics into a kinetic-theory-like evolution equation for electrons, positrons and photons. To keep the "collision rules" simple, we make use of longitudinal and temporal photons in addition to the usual…

High Energy Physics - Theory · Physics 2018-03-09 Hans Christian Öttinger

We discuss scalar quantum field theories in a Lorentz-invariant three-dimensional noncommutative space-time. We first analyze the one-loop diagrams of the two-point functions, and show that the non-planar diagrams are finite and have…

High Energy Physics - Theory · Physics 2014-11-18 Shin'ichi Imai , Naoki Sasakura

We compute the far-from-equilibrium dynamics of relativistic scalar quantum fields in 3+1 space-time dimensions starting from over-occupied initial conditions. We determine universal scaling exponents and functions for two-point correlators…

High Energy Physics - Phenomenology · Physics 2020-03-11 Linda Shen , Jürgen Berges

A new non-perturbative approach to quantum theory in curved spacetime and to quantum gravity, based on a generalisation of the Wigner equation, is proposed. Our definition for a Wigner equation differs from what have otherwise been…

High Energy Physics - Theory · Physics 2009-10-30 Frank Antonsen