Scaling of out-of-time ordered correlators in a non-Hermitian kicked rotor model

• URL: http://arxiv.org/abs/2212.09194v1
• Date: Sun, 18 Dec 2022 23:50:37 GMT
• Title: Scaling of out-of-time ordered correlators in a non-Hermitian kicked rotor model
• Authors: Wen-Lei Zhao and Ru-Ru Wang
• Abstract summary: We investigate the dynamics of the out-of-time-ordered correlators (OTOCs) We find, both analytically and numerically, that in the broken phase of $calPT$ symmetry, the OTOCs rapidly saturate with time evolution.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We investigate the dynamics of the out-of-time-ordered correlators (OTOCs) via a non-Hermitian extension of the quantum kicked rotor model, where the kicking potential satisfies $\mathcal{PT}$-symmetry. The spontaneous $\cal{PT}$-symmetry breaking emerges when the strength of the imaginary part of the kicking potential exceeds a threshold value. We find, both analytically and numerically, that in the broken phase of $\cal{PT}$ symmetry, the OTOCs rapidly saturate with time evolution. Interestingly, the late-time saturation value scales as a pow-law in the system size. The mechanism of such scaling law results from the interplay between the effects of nonlocal operator in OTOCs and the time reversal induced by non-Hermitian driven potential.

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