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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

We show that the onset of quantum chaos at infinite temperature in two many-body one-dimensional lattice models, the perturbed spin-1/2 XXZ and Anderson models, is characterized by universal behavior. Specifically, we show that the onset of…

统计力学 · 物理学 2021-12-02 Tyler LeBlond , Dries Sels , Anatoli Polkovnikov , Marcos Rigol

By means of full exact diagonalization, we study level statistics and the structure of the eigenvectors of one-dimensional gapless bosonic and fermionic systems across the transition from integrability to quantum chaos. These systems are…

统计力学 · 物理学 2010-03-09 Lea F. Santos , Marcos Rigol

The appearance of chaotic quantum dynamics significantly depends on the symmetry properties of the system, and in cold atomic systems many of these can be experimentally controlled. In this work, we systematically study the emergence of…

量子物理 · 物理学 2023-07-26 Tran Duong Anh-Tai , Mathias Mikkelsen , Thomas Busch , Thomás Fogarty

This work theoretically investigates the transition from topology to chaos in a periodically driven system consisting of a quantum top coupled to a spin-1/2 particle. The system is driven by two alternating interaction kicks per period. For…

量子物理 · 物理学 2025-06-26 J. Mumford , H. -Y. Xie , R. J. Lewis-Swan

Chaos sets a fundamental limit to quantum-information processing schemes. We study the onset of chaos in spatially extended quantum many-body systems that are relevant to quantum optical devices. We consider an extended version of the…

量子物理 · 物理学 2023-12-19 Mahaveer Prasad , Hari Kumar Yadalam , Manas Kulkarni , Camille Aron

We study the complex quantum dynamics of a system of many interacting atoms in an elongated anharmonic trap. The system is initially in a Bose-Einstein condensed state, well described by Thomas-Fermi profile in the elongated direction and…

量子气体 · 物理学 2018-12-11 M. A. Garcia-March , S. van Frank , M. Bonneau , J. Schmiedmayer , M. Lewenstein , Lea F. Santos

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

Interacting quantum systems in the chaotic domain are at the core of various ongoing studies of many-body physics, ranging from the scrambling of quantum information to the onset of thermalization. We propose a minimum model for chaos that…

量子物理 · 物理学 2021-06-30 Thomás Fogarty , Miguel Ángel García-March , Lea F. Santos , N. L. Harshman

It is suggested that many-body quantum chaos appears as the spontaneous symmetry breaking of unitarity in interacting quantum many-body systems. It has been shown that many-body level statistics, probed by the spectral form factor (SFF)…

统计力学 · 物理学 2022-04-21 Yunxiang Liao , Victor Galitski

In this work, we investigate the semiclassical limit of a simple bosonic quantum many-body system exhibiting both integrable and chaotic behavior. A classical Hamiltonian is derived using coherent states. The transition from regularity to…

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

While the concepts of quantum many-body integrability and chaos are of fundamental importance for the understanding of quantum matter, their precise definition has so far remained an open question. In this work, we introduce an alternative…

统计力学 · 物理学 2023-12-01 Reyhaneh Khasseh , Jiaju Zhang , Markus Heyl , M. A. Rajabpour

Localization marks the breakdown of thermalization in subregions of quantum many-body systems in the presence of sufficiently large disorder. In this paper, we use numerical techniques to study thermalization and localization in a many-body…

统计力学 · 物理学 2023-03-07 Spasen Chaykov , Brenden Bowen , Nishant Agarwal

In classical systems, chaos is clearly defined via the behavior of trajectories. In quantum systems with a classical analogue one finds that the transition from regular to chaotic dynamics is signified by a change in the spectral…

统计力学 · 物理学 2026-03-24 Fotis I. Giasemis

We revisit the problem of quantum localization of many-body states in a quantum dot and the associated problem of relaxation of an excited state in a finite correlated electron system. We determine the localization threshold for the…

介观与纳米尺度物理 · 物理学 2016-03-18 I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

We study how the proximity to an integrable point or to localization as one approaches the atomic limit, as well as the mixing of symmetries in the chaotic domain, may affect the onset of thermalization in finite one-dimensional systems. We…

统计力学 · 物理学 2013-02-06 Lea F. Santos , Marcos Rigol

Quantum chaos is usually characterized through its statistical implications on the energy spectrum of a given system. In this work we propose a decoherent mechanism for sensing quantum chaos. The chaotic nature of a many-body quantum system…

量子物理 · 物理学 2021-04-14 Nicolás Mirkin , Diego Wisniacki , Paula I. Villar , Fernando C. Lombardo

The standard generic quantum computer model is studied analytically and numerically and the border for emergence of quantum chaos, induced by imperfections and residual inter-qubit couplings, is determined. This phenomenon appears in an…

量子物理 · 物理学 2009-11-06 D. L. Shepelyansky

We propose a method to study the transition to chaos in isolated quantum systems of interacting particles. It is based on the concept of delocalization of eigenstates in the energy shell, controlled by the Gaussian form of the strength…

量子物理 · 物理学 2012-05-15 L. F. Santos , F. Borgonovi , F. M. Izrailev
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