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When an isolated quantum system is driven out of equilibrium, expectation values of general observables start oscillating in time. This article reviews the general theory of such temporal fluctuations. We first survey some results on the…

统计力学 · 物理学 2015-09-02 Lorenzo Campos Venuti , Paolo Zanardi

In the past few years systems with slow dynamics have attracted considerable theoretical and experimental interest. Ageing phenomena are observed during this ever-lasting non-equilibrium evolution. A simple instance of such a behaviour is…

统计力学 · 物理学 2011-07-19 Pasquale Calabrese , Andrea Gambassi

Determining the role of initial conditions in the late time evolution is a key issue for the theory of nonequilibrium dynamics of isolated quantum systems. Here we extend the theory of quantum quenches to the case in which before the quench…

统计力学 · 物理学 2023-09-13 Gesualdo Delfino , Marianna Sorba

The collective and purely relaxational dynamics of quantum many-body systems after a quench at temperature $T=0$, from a disordered state to various phases is studied through the exact solution of the quantum Langevin equation of the…

统计力学 · 物理学 2021-11-01 Sascha Wald , Malte Henkel , Andrea Gambassi

We study analytically and numerically the non-equilibrium dynamics of an isolated interacting many-body quantum system following a random quench. We model the system Hamiltonian by Embedded Gaussian Orthogonal Ensemble (EGOE) of random…

量子物理 · 物理学 2021-11-18 Manan Vyas

Understanding the non-equilibrium dynamics of extended quantum systems after the trigger of a sudden, global perturbation (quench) represents a daunting challenge, especially in the presence of interactions. The main difficulties stem from…

强关联电子 · 物理学 2009-11-13 Alexandre Faribault , Pasquale Calabrese , Jean-Sebastien Caux

We present a general dynamic finite-size scaling theory for the quantum dynamics after an abrupt quench, at both continuous and first-order quantum transitions. For continuous transitions, the scaling laws are naturally ruled by the…

统计力学 · 物理学 2018-06-01 Andrea Pelissetto , Davide Rossini , Ettore Vicari

We study relaxation processes in spin systems near criticality after a quench from a high-temperature initial state. Special attention is paid to the stage where universal behavior, with increasing order parameter emerges from an early…

凝聚态物理 · 物理学 2009-10-28 U. Ritschel , P. Czerner

We reveal a prethermal temporal regime upon suddenly quenching to the vicinity of a quantum phase transition in the time evolution of 1D spin chains. The prethermal regime is analytically found to be self-similar, and its duration is…

量子气体 · 物理学 2023-11-09 Ceren B. Dağ , Yidan Wang , Philipp Uhrich , Xuesen Na , Jad C. Halimeh

We introduce a nonequilibrium phenomenon, reminiscent of Anderson's orthogonality catastrophe (OC), that arises in the transient dynamics following an interaction quench between a quantum system and a localized defect. Even if the system…

量子物理 · 物理学 2026-04-20 Beatrice Donelli , Gabriele De Chiara , Francesco Scazza , Stefano Gherardini

The exact description of the time evolution of open correlated quantum systems remains one of the major challenges of the condensed matter theory, specially for asymptotic long times where most numerical methods fail. Here, the post-quench…

量子气体 · 物理学 2016-08-09 Dmitry V. Chichinadze , Pedro Ribeiro , Yulia E. Shchadilova , Alexey N. Rubtsov

Via computer simulations we study evolution dynamics in systems of continuously moving Active Brownian Particles. The obtained results are discussed against those from the passive 2D Ising case. Following sudden quenches of uniform…

软凝聚态物质 · 物理学 2022-12-14 Florian Dittrich , Jiarul Midya , Peter Virnau , Subir K. Das

Whether a small quantum mechanical system is able to equilibrate with its environment once an external local perturbation drives it out of thermal equilibrium is a central question which cuts across many different fields of science. Here we…

强关联电子 · 物理学 2012-10-10 Marco Schiró

One of the most important concepts in non-equilibrium physics is relaxation. In the vicinity of a classical critical point, the relaxation time can diverge and result in a universal power-law for the relaxation dynamics; the emerging…

强关联电子 · 物理学 2017-08-16 Zi Cai , Claudius Hubig , Ulrich Schollwöck

We adapt the non-linear $\sigma$ model to study the nonequilibrium critical dynamics of O(n) symmetric ferromagnetic system. Using the renormalization group analysis in $d=2+\epsilon$ dimensions we investigate the pure relaxation of the…

统计力学 · 物理学 2009-11-11 Andrei A. Fedorenko , Steffen Trimper

We derive the uncertainty relation for a quantum open system comprised of a Brownian particle interacting with a bath of quantum oscillators at finite temperature. We examine how the quantum and thermal fluctuations of the environment…

广义相对论与量子宇宙学 · 物理学 2015-06-25 B. L. Hu , Yuhong Zhang

We study slow variation (both spatial as well as temporal) of a parameter of a system in the vicinity of discontinuous quantum phase transitions, in particular, a discontinuity critical point (DCP) (or a first-order critical point). We…

统计力学 · 物理学 2015-09-02 Sei Suzuki , Amit Dutta

We study the problem of quantum quench across a critical point in a strongly coupled field theory using AdS/CFT techniques. The model involves a probe neutral scalar field with mass-squared $m^2$ in the range $-9/4 < m^2 < -3/2$ in a…

高能物理 - 理论 · 物理学 2015-05-30 Pallab Basu , Sumit R. Das

We investigate sudden quenches across the critical point in the transverse field Ising chain with a perturbing non-integrable next-nearest-neighbour interaction. Expressions for the return (Loschmidt) amplitude and associated rate function…

统计力学 · 物理学 2015-06-22 Johannes Kriel , Christoph Karrasch , Stefan Kehrein

With the help of a smooth scaling and coarse-graining approach of observables, developed recently by us in the context of so-called fluctuation operators (inspired by prior work of Verbeure et al) we perform a rigorous renormalisation group…

数学物理 · 物理学 2007-05-23 Manfred Requardt