Quadratic growth of Out-of-time ordered correlators in quantum kicked
rotor model
- URL: http://arxiv.org/abs/2401.11057v2
- Date: Sun, 28 Jan 2024 00:18:22 GMT
- Title: Quadratic growth of Out-of-time ordered correlators in quantum kicked
rotor model
- Authors: Guanling Li, Wen-Lei Zhao
- Abstract summary: We study the dynamics of Out-of-Time-Ordered Correlators (OTOCs) in quantum resonance condition for a kicked rotor model.
We find that the OTOCs of different types increase in a quadratic function of time, breaking the freezing of quantum scrambling induced by the dynamical localization under non-resonance condition.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We investigate both theoretically and numerically the dynamics of
Out-of-Time-Ordered Correlators (OTOCs) in quantum resonance condition for a
kicked rotor model. We employ various operators to construct OTOCs in order to
thoroughly quantify their commutation relation at different time, therefore
unveiling the process of quantum scrambling. With the help of quantum resonance
condition, we have deduced the exact expressions of quantum states during both
forward evolution and time reversal, which enables us to establish the laws
governing OTOCs' time dependence. We find interestingly that the OTOCs of
different types increase in a quadratic function of time, breaking the freezing
of quantum scrambling induced by the dynamical localization under non-resonance
condition. The underlying mechanism is discovered and the possible applications
in quantum entanglement are discussed.
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