Entanglement dynamics in the many-body Hatano-Nelson model

• URL: http://arxiv.org/abs/2308.03078v2
• Date: Thu, 14 Dec 2023 08:33:23 GMT
• Title: Entanglement dynamics in the many-body Hatano-Nelson model
• Authors: Takahiro Orito and Ken-Ichiro Imura
• Abstract summary: The entanglement dynamics in a non-Hermitian quantum system is studied numerically and analyzed from the viewpoint of quasiparticle picture. As opposed to an assertion of previous studies, the entanglement dynamics in this non-Hermitian quantum system is very different from the one in its Hermitian counterpart.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The entanglement dynamics in a non-Hermitian quantum system is studied numerically and analyzed from the viewpoint of quasiparticle picture. As a concrete model, we consider a one-dimensional tight-binding model with asymmetric hopping (Hatano-Nelson model) under onsite disorder and nearest-neighbor interaction. As opposed to an assertion of previous studies, the entanglement dynamics in this non-Hermitian quantum system is very different from the one in its Hermitian counterpart, especially in the delocalized regime with weak disorder; there the entanglement entropy $S_{\rm ent}(t)$ shows a characteristic non-monotonic time evolution. We have clarified and quantified the nature of this behavior in the quasiparticle picture. In the asymptotic regime of $t\rightarrow\infty$, the entanglement entropy $S_{\rm ent}(t)$ in this regime saturates to a much suppressed value, which increases only logarithmically with respect to the size of the subsystem.

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