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arXiv · 2309.03546

Emergent entanglement phase transitions in non-Hermitian Aubry-Andr\'e-Harper chains

Shan-Zhong Li·Xue-Jia Yu·Zhi Li
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Abstract

We investigate the entanglement dynamics of the non-Hermitian Aubry-Andr\'e-Harper (AAH) chain. The results reveal that by increasing quasiperiodic strength, a phase transition occurs from the area law induced by non-Hermitian skin effect to the area law arising from Anderson localization. For the former, the entanglement entropy follows a non-monotonic process, i.e., it increases first, then oscillates, and finally converges to a stable value. While for the latter, the entanglement entropy remains low because the wave function is not expandable in Anderson's localization region. The early-stage behavior of entanglement entropy indicates that the two area-law cases are of different phases. Interestingly, the volume-law behavior emerges at the critical point between these two area-law phases. Our study reveals that the area laws induced by the skin effect and the Anderson localization is two different phases, and that a volume law can emerge at the phase transition point. The understanding of the entanglement phase transition induced by disorder and skin effect is thus deepened.

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Shan-Zhong Li, Xue-Jia Yu, Zhi Li. 2023-09-07. Emergent entanglement phase transitions in non-Hermitian Aubry-Andr\'e-Harper chains. https://doi.org/10.1103/physrevb.109.024306

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