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Controlled quantum systems such as ultracold atoms can provide powerful platforms to study non-equilibrium dynamics of closed many-body quantum systems, especially since a complete theoretical description is generally challenging. In this…

Quantum Gases · Physics 2017-11-15 M. Aidelsburger , J. L. Ville , R. Saint-Jalm , S. Nascimbène , J. Dalibard , J. Beugnon

Reservoir engineering lattice states using only localized engineered dissipation is extremely attractive from a resource point of view, but can suffer from long relaxation times. Here, we study the relaxation dynamics of bosonic lattice…

Quantum Physics · Physics 2020-05-15 Yariv Yanay , Aashish A. Clerk

We report the first direct observation of the decay of the excited-state population in electrons trapped on the surface of liquid helium. The relaxation dynamics, which are governed by inelastic scattering processes in the system, are…

Mesoscale and Nanoscale Physics · Physics 2021-03-17 Erika Kawakami , Asem Elarabi , Denis Konstantinov

We establish the existence of a hidden degree of freedom and the critical states of a spinless electron system in a spatially-correlated random magnetic field with vanishing mean. Whereas the critical states are carried by the zero-field…

Disordered Systems and Neural Networks · Physics 2009-11-07 Hoang K. Nguyen

This work makes analytic progress in the deterministic study of turbulence in Hamiltonian systems by identifying two types of energy cascade solutions and the corresponding large- and small-scale structures they generate. The first cascade…

Mathematical Physics · Physics 2025-10-06 Anxo Biasi , Patrick Gérard

Slow conductance relaxations are observable in a many condensed matter systems. These are sometimes described as manifestations of a glassy phase. The underlying mechanisms responsible for the slow dynamics are often due to structural…

Disordered Systems and Neural Networks · Physics 2008-11-21 Z. Ovadyahu

We use numerical simulations to study the dynamics of dense assemblies of self-propelled particles in the limit of extremely large, but finite, persistence times. In this limit, the system evolves intermittently between mechanical…

Soft Condensed Matter · Physics 2023-06-09 Yann-Edwin Keta , Rituparno Mandal , Peter Sollich , Robert L. Jack , Ludovic Berthier

An enhancement of localized nonlinear modes in coupled systems gives rise to a novel type of escape process. We study a spatially one dimensional set-up consisting of a linearly coupled oscillator chain of $N$ mass-points situated in a…

Adaptation and Self-Organizing Systems · Physics 2014-06-05 Torsten Gross , Dirk Hennig , Lutz Schimansky-Geier

The dynamics of an active walker in a harmonic potential is studied experimentally, numerically and theoretically. At odds with usual models of self-propelled particles, we identify two dynamical states for which the particle condensates at…

Soft Condensed Matter · Physics 2019-02-20 Olivier Dauchot , Vincent Démery

This chapter discusses the conditions and timescales under which isolated many-body quantum systems, initially far from equilibrium, ultimately reach thermal equilibrium. We also examine quantities that, during the relaxation process,…

Statistical Mechanics · Physics 2025-04-16 Isaías Vallejo-Fabila , Lea F. Santos

We identify the mechanism of slow heterogeneous relaxation in quantum kinetically constrained models (KCMs) in which the potential energy strength is controlled by a coupling parameter. The regime of slow relaxation includes the…

Statistical Mechanics · Physics 2026-01-27 Vanja Marić , Luka Paljk , Lenart Zadnik

Various physical systems relax mechanical frustration through configurational rearrangements. We examine such rearrangements via Hamiltonian dynamics of simple internally-stressed harmonic 4-mass systems. We demonstrate theoretically and…

Soft Condensed Matter · Physics 2023-11-07 Ori Saporta-Katz , Avraham Moriel

We illuminate the importance of a self-consistent many-body treatment in calculations of vacuum polarization corrections to the energies of atomic orbitals in many-electron atoms. Including vacuum polarization in the atomic Hamiltonian…

Atomic Physics · Physics 2009-11-10 Andrei Derevianko , Boris Ravaine , W. R. Johnson

We study, using both theory and molecular dynamics simulations, the relaxation dynamics of a microcanonical two dimensional self-gravitating system. After a sufficiently large time, a gravitational cluster of N particles relaxes to the…

Statistical Mechanics · Physics 2010-05-25 Tarcísio N. Teles , Yan Levin , Renato Pakter , Felipe B. Rizzato

Motivated by recent experiments on Bose-Einstein condensed atoms which rotate in annular/toroidal traps we study the effect of the finiteness of the atom number $N$ on the states of lowest energy for a fixed expectation value of the angular…

Quantum Gases · Physics 2017-03-08 A. Roussou , J. Smyrnakis , M. Magiropoulos , Nikolaos K. Efremidis , G. M. Kavoulakis

Considering a "random walk in a random environment" in a topologically closed circuit, we explore the implications of the percolation and sliding transitions for its relaxation modes. A complementary question regarding the "delocalization"…

Statistical Mechanics · Physics 2016-03-11 Daniel Hurowitz , Doron Cohen

We want to understand how relaxation process from an initial non-generic state proceeds towards a long-time typical state reached under unitary quantum evolution. One would expect that after some initial correlation time relaxation will be…

Quantum Physics · Physics 2023-10-10 Marko Znidaric

We consider a Bose-Einstein condensate, which is confined in a very tight toroidal/annular trap, in the presence of a potential, which breaks the axial symmetry of the Hamiltonian. We investigate the stationary states of the condensate,…

Low-energy excitations play a key role in all condensed-matter systems, yet there is limited understanding of their nature in glasses, where they correspond to local rearrangements of groups of particles. Here we introduce an algorithm to…

Soft Condensed Matter · Physics 2024-08-27 Wencheng Ji , Massimo Pica Ciamarra , Matthieu Wyart

A fundamental and intrinsic property of any device or natural system is its relaxation time relax, which is the time it takes to return to equilibrium after the sudden change of a control parameter [1]. Reducing $tau$ relax , is frequently…

Statistical Mechanics · Physics 2016-10-25 Ignacio Martinez , Artyom Petrosyan , David Guéry-Odelin , Emmanuel Trizac , Sergio Ciliberto