Unusual wave-packet spreading and entanglement dynamics in non-Hermitian disordered many-body systems

• URL: http://arxiv.org/abs/2109.13769v2
• Date: Thu, 13 Jan 2022 08:58:53 GMT
• Title: Unusual wave-packet spreading and entanglement dynamics in non-Hermitian disordered many-body systems
• Authors: Takahiro Orito, Ken-Ichiro Imura
• Abstract summary: Non-Hermiticity and dephasing realize unconventional entanglement evolution in a disordered quantum medium. We first consider how wave packet spreads in a non-Hermitian disordered system for demonstraing that it is very different from the Hermitian case. We then analyze how the entanglement entropy of the system evolves in the interacting non-Hermitian model.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Non-Hermiticity and dephasing, collaborating in an unusual wave packet dynamics, realizes unconventional entanglement evolution in a disordered, interacting and asymmetric (non-reciprocal) quantum medium. Taking the Hatano-Nelson model as a concrete example, we first consider how wave packet spreads in a non-Hermitian disordered system for demonstraing that it is very different from the Hermitian case. Interestingly, a cascade like wave packet spreading as in the Hermitian case is suppressed in the clean limit and at weak disorder, while it revives in the vicinity of the localization-delocalization transition. Based on this observation, we then analyze how the entanglement entropy of the system evolves in the interacting non-Hermitian model, revealing its non-monotonic evolution in time. We clarify the different roles of dephasing in the time evolution of entanglement entropy in Hermitian and non-Hermitian systems, and show that the many-body dynamics is governed by a principle different from the Hermitian case. The size dependence of the results suggests with the increase of disorder, a unusual area-volume-area law crossover of the maximal entanglement entropy. To analyze the effects of disorder on a firm basis, using the Hermitian limit as a benchmark, we employ a quasi-periodic disorder (Aubry-Andr\'{e} model) in the analyses.

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