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We consider percolation and jamming transitions for particulate systems exposed to compression. For the systems built of particles interacting by purely repulsive forces in addition to friction and viscous damping, it is found that these…

Soft Condensed Matter · Physics 2015-10-28 L. Kovalcinova , A. Goullet , L. Kondic

We study how perturbations affect dynamics of integrable many-body quantum systems, causing transition from integrability to chaos. Looking at spin transport in the Heisenberg chain with impurities we find that in the thermodynamic limit…

Strongly Correlated Electrons · Physics 2020-11-03 Marko Znidaric

We investigate the rate of thermalization of local operators in the one-dimensional anisotropic antiferromagnetic Heisenberg model with next-nearest neighbor interactions that break integrability. This is done by calculating the scaling of…

Strongly Correlated Electrons · Physics 2015-06-11 N. P. Konstantinidis

We show that, in nonequilibrium systems with small heat flows, there is a time-scale dependent effective temperature which plays the same role as the thermodynamical temperature, in that it controls the direction of heat flows and acts as a…

Disordered Systems and Neural Networks · Physics 2009-10-28 Leticia F. Cugliandolo , Jorge Kurchan , Luca Peliti

We review recent developments for the description of far-from-equilibrium dynamics of quantum fields and subsequent thermalization.

High Energy Physics - Phenomenology · Physics 2017-08-23 J. Berges , J. Serreau

In this brief review we introduce the methods of quantum field theory out of equilibrium and study the non-equilibrium aspects of phase transitions. Specifically we critically study the picture of the ``slow-roll'' phase transition in the…

High Energy Physics - Theory · Physics 2009-09-25 D. Boyanovsky , H. J. de Vega , R. Holman

We study theoretically the far-from-equilibrium relaxation dynamics of spin spiral states in the three dimensional isotropic Heisenberg model. The investigated problem serves as an archetype for understanding quantum dynamics of isolated…

Quantum Gases · Physics 2015-10-14 Mehrtash Babadi , Eugene Demler , Michael Knap

Periodically driven classical many-body systems can host a rich zoo of prethermal dynamical phases. In this work, we extend the paradigm of classical prethermalization to aperiodically driven systems. We establish the existence of a…

Quantum Physics · Physics 2025-01-03 Sajag Kumar , Sayan Choudhury

We study the mechanism of thermalization in finite many-fermion systems with random $k$-body interactions in presence of a mean-field. The system Hamiltonian $H$, for $m$ fermions in $N$ single particle states with $k$-body interactions, is…

Chaotic Dynamics · Physics 2023-04-05 Priyanka Rao , N. D. Chavda

Advances in controlling and measuring systems of ultra-cold atoms provided strong motivation to theoretical investigations of quantum dynamics in closed many-body systems. Fundamental questions on quantum dynamics and statistical mechanics…

Quantum Gases · Physics 2015-12-04 Ehud Altman

Ability of dynamical systems to relax to equilibrium has been investigated since the invention of statistical mechanics, which establishes the connection between dynamics of many-body Hamiltonian systems and phenomenological thermodynamics.…

Statistical Mechanics · Physics 2019-07-01 K. S. Glavatskiy , V. L. Kulinskii

We study quantum quenches between integrable and nonintegrable hard-core boson models in the thermodynamic limit with numerical linked cluster expansions. We show that while quenches in which the initial state is a thermal equilibrium state…

Statistical Mechanics · Physics 2016-03-11 Marcos Rigol

Particle entanglement provides information on quantum correlations in systems of indistinguishable particles. Here, we study the one particle entanglement entropy for an integrable model of spinless, interacting fermions both at equilibrium…

In this paper we analyze a system of N identical quantum particles in a weak-coupling regime. The time evolution of the Wigner transform of the one-particle reduced density matrix is represented by means of a perturbative series. The…

Mathematical Physics · Physics 2009-11-10 D. Benedetto , F. Castella , R. Esposito , M. Pulvirenti

Thermodynamic perturbation theory is employed to derive analytical expressions for the equilibrium linear susceptibility and specific heat of lattices of anisotropic classical spins weakly coupled by the dipole-dipole interaction. The…

Materials Science · Physics 2009-11-07 P. E. Jönsson , J. L. Garcia-Palacios

The influence matrix (IM) provides a powerful framework for characterizing nonequilibrium quantum many-body dynamics by encoding multitime correlations into tensor-network states. Understanding how its computational complexity relates to…

Quantum Physics · Physics 2025-10-28 He-Ran Wang , Ilya Vilkoviskiy , Dmitry A. Abanin

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

We use a combination of perturbation theory and numerical techniques to study the equilibration of two interacting fields which are initially at thermal equilibrium at different temperatures. Using standard rules of quantum field theory, we…

High Energy Physics - Phenomenology · Physics 2009-11-07 E. Vaz , M. E. Carrington , R. Kobes , G. Kunstatter

We explore, both analytically and numerically, the quantum dynamics of a many-body free-fermion system subjected to local density measurements. We begin by extending the mapping to the nonlinear sigma-model (NLSM) field theory for the case…

Disordered Systems and Neural Networks · Physics 2026-04-22 Igor Poboiko , Alexander D. Mirlin

We review the non-zero temperature relaxational dynamics of quantum systems near a zero temperature, second-order phase transition. We begin with the quantum Ising chain, for which universal and exact results for the relaxation rates can be…

Strongly Correlated Electrons · Physics 2017-08-23 Subir Sachdev
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