Non-Hermitian Stark Many-Body Localization

• URL: http://arxiv.org/abs/2305.09387v3
• Date: Thu, 19 Oct 2023 12:05:00 GMT
• Title: Non-Hermitian Stark Many-Body Localization
• Authors: Han-Ze Li, Xue-Jia Yu, and Jian-Xin Zhong
• Abstract summary: We investigate a one-dimensional, non-reciprocal, interacting hard-core boson model under a Stark potential with tail curvature. We numerically confirm that the critical points of spectral real-complex (RC) transition and many-body localization (MBL) phase transition are not identical. This work provides a useful reference for further research on phase transitions in disorder-free interacting non-Hermitian systems.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Utilizing exact diagonalization (ED) techniques, we investigate a one-dimensional, non-reciprocal, interacting hard-core boson model under a Stark potential with tail curvature. By employing the non-zero imaginary eigenenergies ratio, half-chain entanglement entropy, and eigenstate instability, we numerically confirm that the critical points of spectral real-complex (RC) transition and many-body localization (MBL) phase transition are not identical, and an examination of the phase diagrams reveals that the spectral RC transition arises before the MBL phase transition, which suggests the existence of a novel non-MBL-driven spectral RC transition. These findings are quite unexpected, and they are entirely different from observations in disorder-driven interacting non-Hermitian systems. This work provides a useful reference for further research on phase transitions in disorder-free interacting non-Hermitian systems.

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