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Title:Quantum-classical correspondence between quantum chaos and finite-time classical dynamics
Authors:ID Wang, Qian (Author)
ID Robnik, Marko (Author)
Files:.pdf Wang_2025_Quantum-classical_correspondence_.pdf (1,91 MB)
MD5: CE8AA61F55E230EE0100B310D5AD253A
 
URL https://doi.org/10.1103/PhysRevE.111.054211
 
Language:English
Work type:Scientific work
Typology:1.01 - Original Scientific Article
Organization:UM - University of Maribor
Abstract:Although the importance of quantum-classical correspondence has been recognized in numerous studies of quantum chaos, its usefulness in understanding quantum chaos through finite-time classical dynamics remains less well understood.We address this question in this work by performing a detailed analysis of how the quantum chaotic measure relates to the chaoticity of the finite-time classical trajectories. A good correspondence between them has been revealed in time- dependent and many-body systems, both of them being of the mixed type. In particular, we show that the dependence of the quantum chaotic measure on the chaoticity of finite-time trajectories can be well captured by a function that is independent of the system. This strongly implies the universal validity of the finite-time quantum-classical correspondence. Our findings enhance the understanding of quantum-classical correspondence and provide a promising approach to explore the ergodic hierarchy in quantum systems.
Keywords:quantum chaos, finite-time classical dynamics, quantum-classical correspondence, dynamical chaos, mixed type, kicked top model, Dicke model
Publication status:Published
Publication version:Version of Record
Submitted for review:10.09.2024
Article acceptance date:21.04.2025
Publication date:16.05.2025
Publisher:American Physical Society
Year of publishing:2025
Number of pages:Str. 1-10
Numbering:Letn. 111, št. 5, št. članka 054211
PID:20.500.12556/DKUM-93522 New window
UDC:530.145
ISSN on article:2470-0045
COBISS.SI-ID:236584451 New window
DOI:10.1103/PhysRevE.111.054211 New window
Publication date in DKUM:03.11.2025
Views:175
Downloads:4
Metadata:XML DC-XML DC-RDF
Categories:Misc.
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Record is a part of a journal

Title:Physical review
Shortened title:Phys. rev., E
Publisher:American Physical Society
ISSN:2470-0045
COBISS.SI-ID:2048366611 New window

Document is financed by a project

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:J1-4387-2022
Name:Kvantna lokalizacija v eno in več delčnih kaotičnih sistemih

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:P1-0306-2022
Name:Uporabna matematika, teoretična fizika in inteligentni sistemi

Licences

License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Licensing start date:16.05.2025

Secondary language

Language:Slovenian
Keywords:kvantni kaos, klasična dinamika v končnem času, kvantno-klasična korespondenca, dinamični kaos, mešani tip


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