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We numerically investigate the relaxation dynamics in an isolated quantum system of interacting bosons trapped in a double-well potential after an integrability breaking quench. Using the statistics of the spectrum, we identify the…

Quantum Gases · Physics 2015-09-14 Jayson G. Cosme

In these four lectures I describe basic ideas and methods applicable to both classical and quantum systems displaying slow relaxation and non-equilibrium dynamics. The first half of these notes considers classical systems, and the second…

Statistical Mechanics · Physics 2018-05-30 Juan P. Garrahan

The paper addresses the problem of relaxation of open quantum systems. Using the path integral methods we found an analytical expression for time-dependent density matrix of two coupled quantum oscillators interacting with different baths…

Quantum Physics · Physics 2014-12-16 Illarion Dorofeyev

Many advanced quantum techniques feature non-Gaussian dynamics, and the ability to manipulate the system in that domain is the next-stage in many experiments. One example of meaningful non-Gaussian dynamics is that of a double-well…

Generic glass formers exhibit at least two characteristic changes in their relaxation behavior, first to an Arrhenius-type relaxation at some characteristic temperature, and then at a lower characteristic temperature to a super-Arrhenius…

Disordered Systems and Neural Networks · Physics 2012-03-08 H. George E. Hentschel , Smarajit Karmakar , Itamar Procaccia , Jacques Zylberg

Complex environments, such as molecular matrices and biological material, play a fundamental role in many important dynamic processes in condensed phases. Because it is extremely difficult to conduct full quantum dynamics simulations on…

Quantum Physics · Physics 2022-01-03 Kiyoto Nakamura , Yoshitaka Tanimura

We consider a particle in a one-dimensional box of length $L$ with a Maxwell bath at one end and a reflecting wall at the other end. Using a renewal approach, as well as directly solving the master equation, we show that the system exhibits…

Statistical Mechanics · Physics 2018-01-17 Deepak Bhat , Sanjib Sabhapandit , Anupam Kundu , Abhishek Dhar

A new discrete model for energy relaxation of a quantum particle is described via a projection operator, causing the wave function collapse. Power laws for the evolution of the particle coordinate and momentum dispersions are derived. A new…

Quantum Physics · Physics 2019-02-04 R. Tsekov

Annealing schedule control provides new opportunities to better understand the manner and mechanisms by which putative quantum annealers operate. By appropriately modifying the annealing schedule to include a pause (keeping the Hamiltonian…

Quantum Physics · Physics 2021-01-22 Tameem Albash , Jeffrey Marshall

We study supercooled dynamics in quantum hard-sphere liquid using quantum mode-coupling formulation. In the moderate quantum regime, classical cage effects lead to slower dynamics compared to strongly quantum regime, where tunneling…

Statistical Mechanics · Physics 2021-02-03 Ankita Das , Eran Rabani , Kunimasa Miyazaki , Upendra Harbola

We model the dynamics of a closed quantum system brought out of mechanical equilibrium, undergoing a non-driven, spontaneous, thermodynamic transformation. In particular, we consider a quantum particle in a box with a moving and insulating…

Quantum Physics · Physics 2024-02-21 Sofia Sgroi , Mauro Paternostro

The dynamic response of an interacting electron system is determined by an extension of the relaxation-time approximation forced to obey local conservation laws for number, momentum and energy. A consequence of these imposed constraints is…

Strongly Correlated Electrons · Physics 2009-11-07 G. S. Atwal , N. W. Ashcroft

A large number of multifaceted quantum transport processes in molecular systems and physical nanosystems can be treated in terms of quantum relaxation processes which couple to one or several fluctuating environments. A thermal equilibrium…

Statistical Mechanics · Physics 2007-05-23 Igor Goychuk , Peter Hanggi

This article is devoted to the long-time dynamics of point-vortex type systems near thermal equilibrium and to the possible emergence of collisional relaxation. More precisely, we consider a tagged particle coupled to a large number of…

Analysis of PDEs · Mathematics 2025-10-15 Mitia Duerinckx , Pierre-Emmanuel Jabin

We show that the dynamics of disordered charge density waves (CDWs) and spin density waves (SDWs) is a collective phenomenon. The very low temperature specific heat relaxation experiments are characterized by: (i) ``interrupted'' ageing…

Statistical Mechanics · Physics 2009-11-07 R. Mélin , K. Biljakovic , J. C. Lasjaunias , P. Monceau

Molecular dynamics simulations are performed to investigate heterogeneous dynamics in amorphous glassy materials under oscillatory shear strain. We consider three-dimensional binary Lennard-Jones mixture well below the glass transition…

Soft Condensed Matter · Physics 2013-05-10 Nikolai V. Priezjev

The relaxation mechanisms of a quantum nanomagnet are discussed in the frame of linear response theory. We use a spin Hamiltonian with a uniaxial potential barrier plus a Zeeman term. The spin, having arbitrary $S$, is coupled to a bosonic…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. Zueco , J. l. Garcia-Palacios

Amorphous glass-forming polymers exhibit multiple relaxation processes, including the structural {\alpha}-relaxation associated with the glass transition and faster secondary relaxations that typically follow Arrhenius behavior. Recently, a…

Soft Condensed Matter · Physics 2026-03-10 Valeriy V. Ginzburg , Oleg V. Gendelman , Simone Napolitano , Riccardo Casalini , Alessio Zaccone

In the presence of strong dephasing noise the dynamics of Rydberg gases becomes effectively classical, due to the rapid decay of quantum superpositions between atomic levels. Recently a great deal of attention has been devoted to the…

Quantum Physics · Physics 2016-09-07 Emanuele Levi , Ricardo Gutierrez , Igor Lesanovsky

We propose a generalization of quantum mechanical equations in the hydrodynamic form by introducing, into the Lagrangian density, terms taking into account the diffusion velocity at zero and finite temperatures and the diffusion pressure…

Quantum Physics · Physics 2014-04-14 O. N. Golubjeva , S. V. Sidorov