Quantization of out-of-time-ordered correlators in non-Hermitian chaotic systems
This paper reports the findings of the late time behavior of the out-of-time-ordered correlators (OTOCs) via quantum kicked rotor and kicked top models with PT-symmetric driving potential. An analytical expression of the OTOCs' power-law growth with time is yielded as C(t)=G(K)t^{γ}, with γ bei...
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| Materialtyp: | Artikel |
| Språk: | English |
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American Physical Society
2022-04-01
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| Serie: | Physical Review Research |
| Länkar: | http://doi.org/10.1103/PhysRevResearch.4.023004 |
| Sammanfattning: | This paper reports the findings of the late time behavior of the out-of-time-ordered correlators (OTOCs) via quantum kicked rotor and kicked top models with PT-symmetric driving potential. An analytical expression of the OTOCs' power-law growth with time is yielded as C(t)=G(K)t^{γ}, with γ being system dependent. Interestingly, the growth rate G features a quantized response to the increase of the kick strength K. The physics behind this is the quantized absorption of energy from the non-Hermitian driving potential. This discovery and the ensuing establishment of the quantization mechanism in the dynamics of quantum chaos with non-Hermiticity will provide insights in chaotic dynamics, promising unprecedented observations in updated experiments. |
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| ISSN: | 2643-1564 |