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We consider an interacting collective spin model known as coupled top (CT), exhibiting a rich variety of phenomena related to quantum transitions, ergodicity, and formation of quantum scars, discussed in [Phys. Rev. E 102, 020101(R)…

Statistical Mechanics · Physics 2022-02-09 Debabrata Mondal , Sudip Sinha , S. Sinha

Quantum many-body scars are rare eigenstates hidden within the chaotic spectra of many-body systems, representing a weak violation of the eigenstate thermalization hypothesis (ETH). Identifying these scars, as well as other non-thermal…

Quantum Physics · Physics 2025-03-12 Jiajin Feng , Bingzhi Zhang , Zhi-Cheng Yang , Quntao Zhuang

By analyzing a paradigmatic example of the theory of dissipative systems -- the classical and quantum dissipative standard map -- we are able to explain the main features of the decay to the quantum equilibrium state. The classical…

Quantum Physics · Physics 2017-09-13 Gabriel G. Carlo , Leonardo Ermann , Alejandro M. F. Rivas , María E. Spina

Understanding the emergence of quantum chaos in multipartite systems is challenging in the presence of interactions. We show that the contribution of the subsystems to the global behavior can be revealed by probing the full counting…

Quantum Physics · Physics 2022-08-23 Zan Cao , Zhenyu Xu , Adolfo del Campo

We investigate scarred resonances of a stadium-shaped chaotic microcavity. It is shown that two components with different chirality of the scarring pattern are slightly rotated in opposite ways from the underlying unstable periodic orbit,…

Chaotic Dynamics · Physics 2009-11-11 Soo-Young Lee , Jung-Wan Ryu , Tae-Yoon Kwon , Sunghwan Rim , Chil-Min Kim

We investigate the occurrence of steady-state multi-stability in a cavity system containing spin-orbit coupled Bose-Einstein condensate and driven by a strong pump laser. The applied magnetic field splits the Bose-Einstein condensate into…

Quantum Gases · Physics 2023-02-07 Kashif Ammar Yasir , Gao Xianlong

A prerequisite for the comprehensive understanding of many-body quantum systems is a characterization in terms of their entanglement structure. The experimental detection of entanglement in spatially extended many-body systems describable…

Quantum scars have recently been directly visualized in graphene quantum dots (Nature 635, 841 (2024)), revealing their resilience and influence on electron dynamics in mesoscopic systems. Here, we examine variational scarring in…

Mesoscale and Nanoscale Physics · Physics 2025-09-19 Fartash Chalangari , Joonas Keski-Rahkonen , Simo Selinummi , Esa Räsänen

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…

Quantum Physics · Physics 2019-04-16 Berislav Buca , Joseph Tindall , Dieter Jaksch

This article aims at popularizing some aspects of "quantum chaos", in particular the study of eigenmodes of classically chaotic systems, in the semiclassical (or high frequency) limit.

Mathematical Physics · Physics 2010-01-22 Nalini Anantharaman , Stéphane Nonnenmacher

Quantum coherence, the physical property underlying fundamental phenomena such as multi-particle interference and entanglement, has emerged as a valuable resource upon which exotic modern technologies are founded. In general, the most…

Understanding properties of quantum matter is an outstanding challenge in science. In this paper, we demonstrate how machine-learning methods can be successfully applied for the classification of various regimes in single-particle and…

Quantum Physics · Physics 2020-02-12 Y. A. Kharkov , V. E. Sotskov , A. A. Karazeev , E. O. Kiktenko , A. K. Fedorov

Quantum many-body scarring is a paradigm of weak ergodicity breaking arising due to the presence of special nonthermal many-body eigenstates that possess low entanglement entropy, are equally spaced in energy, and concentrate in certain…

Quantum Gases · Physics 2023-05-17 Jad C. Halimeh , Luca Barbiero , Philipp Hauke , Fabian Grusdt , Annabelle Bohrdt

We find that the effective dimension of the Wasserstein space of energy eigenstates decreases as a quantum system becomes more chaotic. To demonstrate this, we study a quantum coupled harmonic oscillator system using Husimi…

High Energy Physics - Theory · Physics 2026-05-21 Koji Hashimoto , Norihiro Tanahashi , Kentaroh Yoshida

A periodically kicked ring of a Bose-Einstein condensate is considered as a nonlinear generalization of the quantum kicked rotor. For weak interactions between atoms, periodic motion (anti-resonance) becomes quasiperiodic (quantum beating)…

Soft Condensed Matter · Physics 2009-11-10 Chuanwei Zhang , Jie Liu , Mark G. Raizen , Qian Niu

Quantum many-body scars are energy eigenstates which fail to reproduce thermal expectation values of local observables, in systems where the rest of the many-body spectrum fulfils eigenstate thermalization. Experimental observation of…

Quantum Physics · Physics 2026-02-11 Peter Græns Larsen , Anne E. B. Nielsen , André Eckardt , Francesco Petiziol

In this paper we study in detail the localized wave functions defined in Phys. Rev. Lett. {\bf 76}, 1613 (1994), in connection with the scarring effect of unstable periodic orbits in highly chaotic Hamiltonian system. These functions appear…

Chaotic Dynamics · Physics 2009-11-07 D. A. Wisniacki , F. Borondo , E. Vergini , R. M. Benito

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…

Quantum Physics · Physics 2023-07-26 Tran Duong Anh-Tai , Mathias Mikkelsen , Thomas Busch , Thomás Fogarty

Quantum many-body scars enable persistent non-ergodic dynamics in otherwise thermalizing systems, yet their stabilization typically relies on fine-tuned initial states or engineered Hamiltonian perturbations. Here we show that lattice…

Quantum Gases · Physics 2026-05-08 Erick Parra Verde , Kevin P. Mours , Johannes Zeiher , Ana Hudomal , Jad C. Halimeh

A periodically kicked ring of a Bose-Einstein condensate is considered as a nonlinear generalization of the quantum kicked rotor, where the nonlinearity stems from the mean field interactions between the condensed atoms. For weak…

Other Condensed Matter · Physics 2009-11-11 Jie Liu , Chuanwei Zhang , Mark G. Raizen , Qian Niu