Characterizing the Bulk-Boundary Correspondence of one-dimensional non-Hermitian interacting systems by edge entanglement entropy

Abstract

Dramatically different from the Hermitian systems, the conventional Bulk-Boundary Correspondence (BBC) is broken in the non-Hermitian systems. In this article, 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 Bulk-Boundary Correspondence, which eventually disappears at some critical value of interaction.

9 pages, 6 figures

References in corpus (18)

• Making Sense of Non-Hermitian Hamiltonians
• Topological Origin of Non-Hermitian Skin Effects
• Cold atoms in cavity-generated dynamical optical potentials
• Quantum trajectories and open many-body quantum systems
• Area laws in quantum systems: mutual information and correlations
• Identifying Topological Order by Entanglement Entropy
• The ODE/IM Correspondence
• Defining a bulk-edge correspondence for non-Hermitian Hamiltonians via singular-value decomposition
• Bulk-boundary correspondence from the inter-cellular Zak phase
• Entanglement entropy of critical spin liquids
• Quantum anomaly, non-Hermitian skin effects, and entanglement entropy in open systems
• Quantum-gas microscopes - A new tool for cold-atom quantum simulators
• Detecting edge degeneracy in interacting topological insulators through entanglement entropy
• Rényi entropies and negative central charges in non-Hermitian quantum systems
• Dynamics of entanglement after exceptional quantum quench
• R-DMFT study of a non-Hermitian skin effect for correlated systems: analysis based on a pseudo-spectrum
• Fourth-Order Exceptional Points in Correlated Quantum Many-Body Systems
• Non-Hermitian band topology from momentum-dependent relaxation in two-dimensional metals with spiral magnetism

Cited by in corpus (5)

• Polarization and entanglement spectrum in non-hermitian systems
• Emergent Mott insulators and non-Hermitian conservation laws in an interacting bosonic chain with noninteger filling and nonreciprocal hopping
• Real Non-Hermitian Energy Spectra Without Any Symmetry
• Mixedness timescale in non-Hermitian quantum systems
• Continuous phase transition induced by non-Hermiticity in the quantum contact process model