Characterizing bulk-boundary correspondence of one-dimensional non-Hermitian interacting systems by edge entanglement entropy

2021/08/31 by Weitao Chen, Liangtao Peng, Hantao Lu +1
Mathematics · Physics and Astronomy · #Entropy (arrow of time) #Fermion #Geometry #Hermitian matrix #Mathematical physics #Mathematics #Physics #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum entanglement #Quantum mechanics #Quantum, superfluid, helium dynamics #Scaling #Squashed entanglement #Statistical physics #Topological entropy in physics #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.105.075126

published in Physical review. B./Physical review. B 105(7) (American Physical Society) · 9 pages, 6 figures

openalex publication_date 2022/02/14 · arxiv created 2022/02/15 · arxiv updated 2022/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Dramatically different from the Hermitian systems, the conventional bulk-boundary correspondence (BBC) is broken in the non-Hermitian systems. In this paper, we use edge entanglement entropy to characterize the topological properties of non-Hermitian Su-Schrieffer-Heeger Hubbard model. For free fermions, we study the scaling behavior of entanglement entropy and demonstrate that the edge entanglement entropy is a good indicator to delimit different phases of non-Hermitian systems. We further generalize the edge entanglement entropy to the non-Hermitian interacting Hubbard chain and obtain the topological phase diagram in the plane of interaction and non-Hermitian hopping amplitudes. It is found that the Hubbard interaction diminishes and weakens the breakdown of the bulk-boundary correspondence, which eventually disappears at some critical value of interaction.

Citations

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