Emergent entanglement phase transitions in non-Hermitian Aubry-André-Harper chains
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866910299068563456 |
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| author | Li, Shan-Zhong Yu, Xue-Jia Li, Zhi |
| author_facet | Li, Shan-Zhong Yu, Xue-Jia Li, Zhi |
| contents | We investigate the entanglement dynamics of the non-Hermitian Aubry-André-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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2309_03546 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Emergent entanglement phase transitions in non-Hermitian Aubry-André-Harper chains Li, Shan-Zhong Yu, Xue-Jia Li, Zhi Disordered Systems and Neural Networks We investigate the entanglement dynamics of the non-Hermitian Aubry-André-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. |
| title | Emergent entanglement phase transitions in non-Hermitian Aubry-André-Harper chains |
| topic | Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2309.03546 |