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arXiv · 2212.09194

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

Wen-Lei Zhao·Ru-Ru Wang
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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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Wen-Lei Zhao, Ru-Ru Wang. 2022-12-18. Scaling of out-of-time ordered correlators in a non-Hermitian kicked rotor model. https://arxiv.org/abs/2212.09194

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