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We study relaxation times, also called mixing times, of quantum many-body systems described by a Lindblad master equation. We in particular study the scaling of the spectral gap with the system length, the so-called dynamical exponent,…

统计力学 · 物理学 2015-10-30 Marko Znidaric

Long-range interacting many-body systems exhibit a number of peculiar and intriguing properties. One of those is the scaling of relaxation times with the number $N$ of particles in a system. In this paper I give a survey of results on…

统计力学 · 物理学 2017-02-14 Michael Kastner

Constraints in the dynamics of quantum many-body systems can dramatically alter transport properties and relaxation timescales even in the absence of static disorder. Here, we report on the observation of such constrained dynamics arising…

An analytical prediction is established of how an isolated many-body quantum system relaxes towards its thermal long-time limit under the action of a time-independent perturbation, but still remaining sufficiently close to a reference case…

统计力学 · 物理学 2020-03-25 Lennart Dabelow , Peter Reimann

We study dynamical correlation functions in the random-field Heisenberg chain, which probes the relaxation times at different length scales. Firstly, we show that the relaxation time associated with the dynamical imbalance (examining the…

强关联电子 · 物理学 2022-02-10 J. Herbrych , M. Mierzejewski , P. Prelovšek

We study the relaxation dynamics of strongly interacting quantum systems that display a kind of many-body localization in spite of their translation-invariant Hamiltonian. We show that dynamics starting from a random initial configuration…

无序系统与神经网络 · 物理学 2015-05-08 Mauro Schiulaz , Alessandro Silva , Markus Müller

The assumption that quantum systems relax to a stationary state in the long-time limit underpins statistical physics and much of our intuitive understanding of scientific phenomena. For isolated systems this follows from the eigenstate…

量子物理 · 物理学 2019-04-16 Berislav Buca , Joseph Tindall , Dieter Jaksch

We investigate how the observable relaxation behavior of an isolated quantum many-body system is modified in response to weak-to-moderate perturbations within a nonperturbative typicality framework. A key role is played by the so-called…

统计力学 · 物理学 2020-08-11 Lennart Dabelow , Patrick Vorndamme , Peter Reimann

The gap of the Liouvillian spectrum gives the asymptotic decay rate of a quantum dissipative system, and therefore its inverse has been identified as the slowest relaxation time. In contrary to this common belief, we show that the…

统计力学 · 物理学 2020-12-07 Takashi Mori , Tatsuhiko Shirai

We analytically demonstrate that strong system-bath coupling separates the relaxation dynamics of a dissipative quantum system into two distinct regimes: a short-time dynamics that, as expected, accelerates with increasing coupling to the…

量子物理 · 物理学 2025-12-22 Brett Min , Matthew Gerry , Dvira Segal

Relaxation time plays a crucial role in describing the relaxation processes of quantum systems. We study the effect of a type of bond dissipation on the relaxation time of boundary dissipative systems and find that it can change the scaling…

无序系统与神经网络 · 物理学 2024-09-16 Yi Peng , Chao Yang , Yucheng Wang

Thermalization in highly excited quantum many-body system does not necessarily mean a complete memory loss of the way the system was formed. This effect may pave a way for a quantum computing, with a large number of qubits $n\simeq…

量子物理 · 物理学 2008-12-19 M. Bienert , J. Flores , S. Yu. Kun , T. H. Seligman

Markovian open many-body quantum systems display complicated relaxation dynamics. The spectral gap of the Liouvillian characterizes the asymptotic decay rate towards the stationary state, but it has recently been pointed out that the…

统计力学 · 物理学 2024-07-30 Tatsuhiko Shirai , Takashi Mori

We study the effects of dissipative boundaries in many-body systems at continuous quantum transitions, when the parameters of the Hamiltonian driving the unitary dynamics are close to their critical values. As paradigmatic models, we…

统计力学 · 物理学 2021-09-01 Francesco Tarantelli , Ettore Vicari

We study the universal real-time relaxation behaviors of a long-range quantum XY chain following a quench. Our research includes both the noncritical and critical quench. In the case of noncritical quench, i.e., neither the initial state…

统计力学 · 物理学 2023-12-05 Yu-Huang Huang , Yin-Tao Zou , Chengxiang Ding

We consider isolated many-body quantum systems which do not thermalize, i.e., expectation values approach an (approximately) steady longtime limit which disagrees with the microcanonical prediction of equilibrium statistical mechanics. A…

统计力学 · 物理学 2017-05-22 Ben N. Balz , Peter Reimann

Dissipation is a ubiquitous phenomenon that affects the fate of chaotic quantum many-body dynamics. Here, we show that chaos can be robust against dissipation but can also assist and anomalously enhance relaxation. We compute exactly the…

统计力学 · 物理学 2024-11-14 Takato Yoshimura , Lucas Sá

We reveal several distinct regimes of the relaxation dynamics of a small quantum system coupled to an environment within the plane of the dissipation strength and the reservoir temperature. This is achieved by discriminating between…

量子物理 · 物理学 2015-06-17 D. M. Kennes , O. Kashuba , V. Meden

We investigate the relaxation dynamics of a Rydberg gas in regimes where coherent processes and dissipation compete. In the strongly dissipative limit, the dynamics is known to be governed by an effective classical rate equation and to…

量子气体 · 物理学 2026-04-14 Viktoria Noel , Igor Lesanovsky

A crossover between different power-law relaxation behaviors of many-body periodically driven integrable systems has come to light in recent years. We demonstrate using integrable quantum systems, that similar kinds of dynamical transitions…

统计力学 · 物理学 2022-02-03 Aamir Ahmad Makki , Souvik Bandyopadhyay , Somnath Maity , Amit Dutta
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