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While plenty of results have been obtained for single-particle quantum systems with chaotic dynamics through a semiclassical theory, much less is known about quantum chaos in the many-body setting. We contribute to recent efforts to make a…

混沌动力学 · 物理学 2018-02-07 Maram Akila , Boris Gutkin , Peter Braun , Daniel Waltner , Thomas Guhr

This review is devoted to the problem of thermalization in a small isolated conglomerate of interacting constituents. A variety of physically important systems of intensive current interest belong to this category: complex atoms, molecules…

统计力学 · 物理学 2016-04-18 F. Borgonovi , F. M. Izrailev , L. F. Santos , V. G. Zelevinsky

Understanding the stability of integrability in many-body quantum systems is key to controlling dynamics and predicting thermalization. While the breakdown of integrability in short-range interacting systems is well understood, the role of…

统计力学 · 物理学 2026-04-07 Soumya Kanti Pal , Lea F Santos

Quantum chaos is a major subject of interest in condensed matter theory, and has recently motivated new questions in the study of classical chaos. In particular, recent studies have uncovered interesting physics in the relationship between…

统计力学 · 物理学 2023-07-24 Henry Ando , David A. Huse

We extend the results of two of our papers [Phys. Rev. A 94, 041603R (2016) and Phys. Rev. B 97, 060303R (2018)] that touch upon the intimately connected topics of quantum chaos and thermalization. In the first, we argued that when the…

统计力学 · 物理学 2019-03-27 E. Jonathan Torres-Herrera , Lea F. Santos

Unconventional nonequilibrium phases with restricted correlation spreading and slow entanglement growth have been proposed to emerge in systems with confined excitations, calling their thermalization dynamics into question. Here, we show…

统计力学 · 物理学 2024-10-25 Stefan Birnkammer , Alvise Bastianello , Michael Knap

We investigate the onset of thermalization and quantum chaos in finite one-dimensional gapped systems of hard-core bosons. Integrability in these systems is broken by next-nearest-neighbor repulsive interactions, which also generate a…

统计力学 · 物理学 2010-07-12 Marcos Rigol , Lea F. Santos

Classical arguments for thermalization of isolated systems do not apply in a straightforward way to the quantum case. Recently, there has been interest in diagnostics of quantum chaos in many- body systems. In the classical case, chaos is a…

统计力学 · 物理学 2019-06-26 Yuri D. Lensky , Xiao-Liang Qi

Temperature chaos is an extreme sensitivity of the equilibrium state to a change of temperature. It arises in several disordered systems that are described by the so called scaling theory of spin glasses, while it seems to be absent in mean…

无序系统与神经网络 · 物理学 2009-11-07 M. Sasaki , O. C. Martin

We report on spin-vortex pair dynamics measured at temperatures low enough to suppress stochastic core motion, thereby uncovering the highly non-linear intrinsic dynamics of the system. Our analysis shows that the decoupling of the two…

介观与纳米尺度物理 · 物理学 2019-02-06 A. V. Bondarenko , E. Holmgren , Z. W. Li , B. A. Ivanov , V. Korenivski

Chaos is an important characterization of classical dynamical systems. How is chaos linked to the long-time dynamics of collective modes across phases and phase transitions? We address this by studying chaos across Ising and…

统计力学 · 物理学 2021-11-10 Sibaram Ruidas , Sumilan Banerjee

Using one-dimensional spin-1/2 systems as prototypes of quantum many-body systems, we study the emergence of quantum chaos. The main purpose of this work is to answer the following question: how does the spin-orbit interaction, as a pure…

统计力学 · 物理学 2017-02-01 J. Vahedi , A. Ashouri , S. Mahdavifar

The environment of an open quantum system is usually modelled as a large many-body quantum system. However, when an isolated quantum system itself is a many-body quantum system, the question of how large and complex it must be in order to…

量子物理 · 物理学 2021-02-17 Nicolás Mirkin , Diego Wisniacki

We discuss the onset of quantum chaos and thermalization in the two-mode Dicke model, which describes the dipolar interaction between an ensemble of spins and two bosonic modes. The two-mode Dicke model exhibits normal to superradiant…

量子物理 · 物理学 2023-03-29 Aleksandrina V. Kirkova , Peter A. Ivanov

It is usually expected and observed that non-integrable isolated quantum systems thermalize. However, for some non-integrable spin chain models, in a numerical study, initial states with oscillations that persisted for some time were found…

量子物理 · 物理学 2024-09-10 Luis Fernando dos Prazeres , Thiago R. de Oliveira

We investigate signatures of quantum chaos within Ising spin chains subjected to transverse and longitudinal fields, incorporating both local (nearest-neighbor) and non-local (long-range) couplings. While local Ising models may exhibit…

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,…

统计力学 · 物理学 2025-04-16 Isaías Vallejo-Fabila , Lea F. Santos

We study the onset of chaos and statistical relaxation in two isolated dynamical quantum systems of interacting spins-1/2, one of which is integrable and the other chaotic. Our approach to identifying the emergence of chaos is based on the…

统计力学 · 物理学 2012-06-05 L. F. Santos , F. Borgonovi , F. M. Izrailev

In classical statistical mechanics there is a clear correlation between relaxation to equilibrium and chaos. In contrast, for isolated quantum systems this relation is -- to say the least -- fuzzy. In this work we try to unveil the…

量子物理 · 物理学 2015-01-26 Ignacio García-Mata , Augusto J. Roncaglia , Diego A. Wisniacki

We study the emergence of decoherent histories in isolated systems based on exact numerical integration of the Schr\"odinger equation for a Heisenberg chain. We reveal that the nature of the system, which we switch from (i) chaotic to (ii)…

统计力学 · 物理学 2025-06-10 Jiaozi Wang , Philipp Strasberg
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