Statistical and dynamical properties of the quantum triangle map
| Autor: | Jiaozi Wang, Giuliano Benenti, Giulio Casati, Wen-ge Wang |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: |
Statistics and Probability
number of harmonics Quantum Physics Statistical Mechanics (cond-mat.stat-mech) FOS: Physical sciences General Physics and Astronomy Statistical and Nonlinear Physics Nonlinear Sciences - Chaotic Dynamics out-of-time-ordered correlator spectral statistics Modeling and Simulation Chaotic Dynamics (nlin.CD) Quantum Physics (quant-ph) Mathematical Physics Condensed Matter - Statistical Mechanics |
| Zdroj: | Journal of physics. A, Mathematical and theoretical 55 (2022): 234002-1–234002-15. doi:10.1088/1751-8121/ac6a93 info:cnr-pdr/source/autori:Wang, JZ; Benenti, G; Casati, G; Wang, WG/titolo:Statistical and dynamical properties of the quantum triangle map/doi:10.1088%2F1751-8121%2Fac6a93/rivista:Journal of physics. A, Mathematical and theoretical (Print)/anno:2022/pagina_da:234002-1/pagina_a:234002-15/intervallo_pagine:234002-1–234002-15/volume:55 |
| DOI: | 10.1088/1751-8121/ac6a93 |
| Popis: | We study the statistical and dynamical properties of the quantum triangle map, whose classical counterpart can exhibit ergodic and mixing dynamics, but is never chaotic. Numerical results show that ergodicity is a sufficient condition for spectrum and eigenfunctions to follow the prediction of Random Matrix Theory, even though the underlying classical dynamics is not chaotic. On the other hand, dynamical quantities such as the out-of-time-ordered correlator (OTOC) and the number of harmonics, exhibit a growth rate vanishing in the semiclassical limit, in agreement with the fact that classical dynamics has zero Lyapunov exponent. Our finding show that, while spectral statistics can be used to detect ergodicity, OTOC and number of harmonics are diagnostics of chaos. 7 pages. 9 figures |
| Databáze: | OpenAIRE |
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