Relative asymptotic oscillations of the out-of-time-ordered correlator as a quantum chaos indicator
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F23%3A10468409" target="_blank" >RIV/00216208:11320/23:10468409 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=2V1v.iRpHM" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=2V1v.iRpHM</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevE.107.054220" target="_blank" >10.1103/PhysRevE.107.054220</a>
Alternative languages
Result language
angličtina
Original language name
Relative asymptotic oscillations of the out-of-time-ordered correlator as a quantum chaos indicator
Original language description
A detailed numerical study reveals that the asymptotic values of the standard-deviation-to-mean ratio of the out-of-time-ordered correlator in energy eigenstates can be successfully used as a measure of the quantum chaoticity of the system. We employ a finite-size fully connected quantum system with two degrees of freedom, namely, the algebraic u(3) model, and demonstrate a clear correspondence between the energy-smoothed relative oscillations of the correlators and the ratio of the chaotic part of the volume of phase space in the classical limit of the system. We also show how the relative oscillations scale with the system size and conjecture that the scaling exponent can also serve as a chaos indicator.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10300 - Physical sciences
Result continuities
Project
<a href="/en/project/GA20-09998S" target="_blank" >GA20-09998S: DYNAMICAL SIGNATURES OF EXCITED-STATE QUANTUM PHASE TRANSITIONS</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review E
ISSN
2470-0045
e-ISSN
2470-0053
Volume of the periodical
107
Issue of the periodical within the volume
5
Country of publishing house
US - UNITED STATES
Number of pages
12
Pages from-to
054220
UT code for WoS article
001026085900001
EID of the result in the Scopus database
2-s2.0-85161296469