Out-of-time-order correlator in the quantum Rabi model
| Autor: | Aleksandrina V. Kirkova, Diego Porras, Peter A. Ivanov |
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| Přispěvatelé: | Bulgarian National Science Fund, Ministerio de Ciencia, Innovación y Universidades (España) |
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Digital.CSIC. Repositorio Institucional del CSIC instname |
| DOI: | 10.48550/arxiv.2201.06340 |
| Popis: | 9 pags., 7 figs., 4 apps. We investigate signatures of chaos and equilibration in the quantum Rabi model, which exhibits a quantum phase transition when the ratio of the atomic level-splitting to bosonic frequency grows to infinity. We show that the out-of-time-order correlator derived from the Loschmidt echo signal quickly saturates in the normal phase and undergoes exponential growth in the superradiant phase, which is associated with the onset of quantum chaos. Furthermore, we show that the effective time-averaged dimension of the quantum Rabi system can be large compared with the spin system size, which leads to suppression of the temporal fluctuations and equilibration of the spin system. A.V.K. and P.A.I. acknowledge support by the ERyQSenS project and the Bulgarian Science Fund Grant No. DO02/3. D.P. acknowledges support from the Spanish project PGC2018-094792-B100(MCIU/AEI/FEDER, EU). |
| Databáze: | OpenAIRE |
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