Quantum vs classical dynamics in a spin-boson system: manifestations of spectral correlations and scarring
| Autor: | Saúl Pilatowsky-Cameo, David Villaseñor, Jorge G. Hirsch, Miguel A. Bastarrachea-Magnani, Lea F. Santos, Sergio Lerma-Hernández |
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| Rok vydání: | 2020 |
| Předmět: |
Physics
Quantum Physics Ergodicity Chaotic FOS: Physical sciences General Physics and Astronomy Nonlinear Sciences - Chaotic Dynamics 01 natural sciences Quantum chaos 010305 fluids & plasmas Condensed Matter - Other Condensed Matter 0103 physical sciences Coherent states Quantum ergodicity Statistical physics Chaotic Dynamics (nlin.CD) Quantum Physics (quant-ph) 010306 general physics Quantum Other Condensed Matter (cond-mat.other) Spin-½ Boson |
| Zdroj: | Villaseñor, D, Pilatowsky-Cameo, S, Bastarrachea-Magnani, M A, Lerma-Hernández, S, Santos, L F & Hirsch, J G 2020, ' Quantum vs classical dynamics in a spin-boson system : Manifestations of spectral correlations and scarring ', New Journal of Physics, vol. 22, no. 6, 063036 . https://doi.org/10.1088/1367-2630/ab8ef8 |
| ISSN: | 1367-2630 |
| Popis: | We compare the entire classical and quantum evolutions of the Dicke model in its regular and chaotic domains. This is a paradigmatic interacting spin-boson model of great experimental interest. By studying the classical and quantum survival probabilities of initial coherent states, we identify features of the long-time dynamics that are purely quantum and discuss their impact on the equilibration times. We show that the ratio between the quantum and classical asymptotic values of the survival probability serves as a metric to determine the proximity to a separatrix in the regular regime and to distinguish between two manifestations of quantum chaos: scarring and ergodicity. In the case of maximal quantum ergodicity, our results are analytical and show that quantum equilibration takes longer than classical equilibration. Comment: 25 pages, 10 figures, 4 supplementary animations can be requested to d.v.pcf.cu@gmail.com |
| Databáze: | OpenAIRE |
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