From Dyson models to many-body quantum chaos

被引：0

作者：

Andreanov, Alexei ^{[1
,2
]}

Carrega, Matteo ^{[3
]}

Murugan, Jeff ^{[4
,5
]}

Olle, Jan ^{[6
]}

Rosa, Dario ^{[1
,2
,7
]}

Shir, Ruth ^{[8
]}

机构：

[1] Inst Basic Sci IBS, Ctr Theoret Phys Complex Syst, Daejeon 34126, South Korea

[2] Korea Univ Sci & Technol UST, Basic Sci Program, Daejeon 34113, South Korea

[3] CNR SPIN, Via Dodecaneso 33, I-16146 Genoa, Italy

[4] Univ Cape Town, Dept Math & Appl Math, Lab Quantum Grav & Strings, ZA-7701 Cape Town, South Africa

[5] Natl Inst Theoret & Computat Sci, Private Bag X1, ZA-7602 Matieland, South Africa

[6] Max Planck Inst Sci Light, D-91058 Erlangen, Germany

[7] UNESP Univ Estadual Paulista, ICTP South Amer Inst Fundamental Res, Inst Fis Teor, Rua Dr Bento Teobaldo Ferraz 271, BR-01140070 Sao Paulo, SP, Brazil

[8] Univ Luxembourg, Dept Phys & Mat Sci, L-1511 Luxembourg, Luxembourg

来源：

PHYSICAL REVIEW B | 2025年 / 111卷 / 03期

基金：

巴西圣保罗研究基金会;

关键词：

STATISTICAL-MECHANICS; LOCALIZATION; SYSTEMS; STATES;

D O I：

10.1103/PhysRevB.111.035147

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A deep understanding of the mechanisms underlying many-body quantum chaos is one of the big challenges in contemporary theoretical physics. We tackle this problem in the context of a set of perturbed quadratic SachdevYe-Kitaev (SYK) Hamiltonians defined on graphs. This allows us to disentangle the geometrical properties of the underlying single-particle problem and the importance of the interaction terms, showing that the former is the dominant feature ensuring the single-particle to many-body chaotic transition. Our results are verified numerically with state-of-the-art numerical techniques, capable of extracting eigenvalues in a desired energy window of very large Hamiltonians. Our approach essentially provides a new way of viewing many-body chaos from a single-particle perspective.

引用

页数：9

共 50 条

[31] Signatures of chaos and thermalization in the dynamics of many-body quantum systems
Jonathan Torres-Herrera, Eduardo
Santos, Lea F.
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2019, 227 (15-16): : 1897 - 1910
[32] Many-body adiabatic passage: Quantum detours around chaos
Dey, Amit
Cohen, Doron
Vardi, Amichay
PHYSICAL REVIEW A, 2019, 99 (03)
[33] Many-body quantum chaos: Recent developments and applications to nuclei
Gomez, J. M. G.
Kar, K.
Kota, V. K. B.
Molina, R. A.
Relano, A.
Retamosa, J.
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2011, 499 (4-5): : 103 - 226
[34] Spectral Statistics and Many-Body Quantum Chaos with Conserved Charge
Friedman, Aaron J.
Chan, Amos
De Luca, Andrea
Chalker, J. T.
PHYSICAL REVIEW LETTERS, 2019, 123 (21)
[35] Solvable Models of Many-Body Chaos from Dual-Koopman Circuits
Lakshminarayan, Arul
PHYSICAL REVIEW LETTERS, 2024, 133 (17)
[36] Signatures of chaos and thermalization in the dynamics of many-body quantum systems
Eduardo Jonathan Torres-Herrera
Lea F. Santos
The European Physical Journal Special Topics, 2019, 227 : 1897 - 1910
[37] Quantum Chaos, Random Matrices, and Irreversibility in Interacting Many-Body Quantum Systems
Weidenmueller, Hans A.
ENTROPY, 2022, 24 (07)
[38] Many-Body Systems and Quantum Chaos: The Multiparticle Quantum Arnol'd Cat
Mantica, Giorgio
CONDENSED MATTER, 2019, 4 (03):
[39] Quantum-to-Classical Crossover in Many-Body Chaos and Scrambling from Relaxation in a Glass
Bera, Surajit
Lokesh, K. Y. Venkata
Banerjee, Sumilan
PHYSICAL REVIEW LETTERS, 2022, 128 (11)
[40] Symmetric dynamics in dissipative quantum many-body models
Zheng, Yi
Yang, Shuo
PHYSICAL REVIEW A, 2021, 104 (02)

← 1 2 3 4 5 →