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In $N$-body systems with long-range interactions mean-field effects dominate over binary interactions (collisions), so that relaxation to thermal equilibrium occurs on time scales that grow with $N$, diverging in the $N\to\infty$ limit.…

Statistical Mechanics · Physics 2019-04-05 Guido Giachetti , Lapo Casetti

The key feature of time-dependent dynamics in a paired Fermi superfluid is the presence of a large number of independent degrees of freedom---the pairing amplitudes of fermions with different momenta. We argue that useful prototypes of this…

High Energy Physics - Theory · Physics 2014-06-09 S. Khlebnikov

The time evolution of the Wigner distribution function for a single-particle excitation in a Fermi system was studied within the framework of the diffusion approximation of kinetic theory by numerically solving a nonlinear diffusion…

Nuclear Theory · Physics 2026-03-12 Sergiy V. Lukyanov

We investigate the non-equilibrium relaxation dynamics of a one dimensional system of interacting spinless fermions near the XXZ integrable point. We observe two qualitatively different regimes: close to integrability and for low energies…

Quantum Gases · Physics 2015-03-10 Nicolas Nessi , Aníbal Iucci

An expression for the two-particle relaxation time of collective excitations on a distorted Fermi surface in the diffusion approach to kinetic theory is obtained. The general case of momentum-dependent diffusion and drift coefficients is…

Nuclear Theory · Physics 2021-11-01 S. V. Lukyanov

A fundamental question in many-body physics is how closed quantum systems reach equilibrium. We address this question experimentally and theoretically in an ultracold large-spin Fermi gas where we find a complex interplay between internal…

In general, classical fully-connected systems are known to undergo violent relaxation. This phenomenon refers to the relaxation of observables to stationary, non-thermal, values on a finite timescale, despite their long-time dynamics being…

Quantum Physics · Physics 2025-06-17 Guido Giachetti , Nicolò Defenu

The time evolution of the distribution function for a particle-hole excitation in a Fermi system was calculated using the direct numerical solution of a nonlinear diffusion equation in momentum space. A phenomenological expression for…

Nuclear Theory · Physics 2025-02-13 Sergiy V. Lukyanov

We study the dynamics and thermalization of strongly correlated fermions in finite one-dimensional lattices after a quantum quench. Our calculations are performed using exact diagonalization. We focus on one- and two-body observables such…

Statistical Mechanics · Physics 2013-02-08 Marcos Rigol

We present a unitary framework for dissipative quantum dynamics that can be efficiently applied to large-scale Fermi systems. The method introduces local Hermitian operators that emulate frictional forces while strictly preserving the…

Nuclear Theory · Physics 2025-12-16 J. E. Alba-Arroyo , Daniel Pęcak , Michael McNeil Forbes , Gabriel Wlazłowski

In studying the time evolution of isolated many-body quantum systems, a key focus is determining whether the system undergoes relaxation and reaches a steady state at a given point in time. Traditional approaches often rely on specific…

Quantum Physics · Physics 2025-06-23 Jiaju Zhang , M. A. Rajabpour , Markus Heyl , Reyhaneh Khasseh

We study relaxation dynamics in a strongly-interacting two-site Fermi-Hubbard model that is induced by coupling each site to a local fermionic bath. To derive the proper form of the Lindblad operators that enter an effective description of…

Strongly Correlated Electrons · Physics 2020-04-02 Eric Kleinherbers , Nikodem Szpak , Jürgen König , Ralf Schützhold

We analyze the applicability of the Fermi-golden-rule description of quasiparticle relaxation in a closed diffusive quantum dot with electron-electron interaction. Assuming that single-particle levels are already resolved but the initial…

Strongly Correlated Electrons · Physics 2016-04-29 Vladyslav A. Kozii , Mikhail A. Skvortsov

We study the relaxation towards thermodynamical equilibrium of a 1-D gravitational system. This OSC model shows a series of critical energies $E_{cn}$ where new equilibria appear and we focus on the homogeneous ($n=0$), one-peak ($n=\pm 1$)…

Astrophysics · Physics 2009-11-11 Patrick Valageas

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

The fidelity of operations on a solid-state quantum processor is fundamentally bounded by environmental decoherence. Characterizing environmental fluctuations is challenging because the acquisition time of nonadaptive experimental protocols…

We theoretically study the relaxation of high energy single particle excitations into molecules in a system of attractive fermions in an optical lattice, both in the superfluid and the normal phase. In a system characterized by an…

Quantum Gases · Physics 2013-05-29 Rajdeep Sensarma , David Pekker , Ana Maria Rey , Mikhail Lukin , Eugene Demler

We investigate the impact of dissipation on the energy balance in the electron dynamics of metal clusters excited by strong electro-magnetic pulses. The dynamics is described theoretically by Time-Dependent Density-Functional Theory (TDDFT)…

Mesoscale and Nanoscale Physics · Physics 2017-02-01 M. Vincedon , E. Suraud , P. -G. Reinhard

A classical long-range-interacting $N$-particle system relaxes to thermal equilibrium on time scales growing with $N$; in the limit $N\to \infty$ such a relaxation time diverges. However, a completely non-collisional relaxation process,…

Statistical Mechanics · Physics 2022-02-09 Alessandro Santini , Guido Giachetti , Lapo Casetti

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…

Statistical Mechanics · Physics 2016-04-04 E. J. Torres-Herrera , Davida Kollmar , Lea F. Santos
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