Quantization of Out-of-Time-Ordered Correlators in non-Hermitian Chaotic Systems

• URL: http://arxiv.org/abs/2105.14861v1
• Date: Mon, 31 May 2021 10:30:04 GMT
• Title: Quantization of Out-of-Time-Ordered Correlators in non-Hermitian Chaotic Systems
• Authors: Wen-Lei Zhao
• Abstract summary: This letter reports the findings of the late time behavior of the out-of-time-ordered correlators (OTOCs) via a quantum kicked rotor model. The physics behind this is the quantized absorption of energy from the non-Hermitian driving potential.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: This letter reports the findings of the late time behavior of the out-of-time-ordered correlators (OTOCs) via a quantum kicked rotor model with $\cal{PT}$-symmetric driving potential. An analytical expression of the OTOCs' quadratic growth with time is yielded as $C(t)=G(K)t^2$. Interestingly, the growth rate $G$ features a quantized response to the increase of the kick strength $K$, which indicates the chaos-assisted quantization in the OTOCs' dynamics. 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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