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.

arXiv comment9 pages, 6 figures

References in corpus (90)

• Topological Insulators
• Topological insulators and superconductors
• Topological Photonics
• Entanglement Entropy and Quantum Field Theory
• Making Sense of Non-Hermitian Hamiltonians
• Topological entanglement entropy
• Edge states and topological invariants of non-Hermitian systems
• Detecting topological order in a ground state wave function
• Unidirectional Invisibility induced by PT-Symmetric Periodic Structures
• Exceptional Topology of Non-Hermitian Systems
• Geometric and Renormalized Entropy in Conformal Field Theory
• Non-Hermitian Physics
• Entanglement entropy and conformal field theory
• Symmetry and Topology in Non-Hermitian Physics
• Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
• Topological Origin of Non-Hermitian Skin Effects
• Spin Liquid Ground State of the $S=1/2$ Kagome Heisenberg Model
• Calculation of reduced density matrices from correlation functions
• An Area Law for One Dimensional Quantum Systems
• Dynamically encircling exceptional points in a waveguide: asymmetric mode switching from the breakdown of adiabaticity
• Anomalous edge state in a non-Hermitian lattice
• Non-Bloch Band Theory of Non-Hermitian Systems
• Topological energy transfer in an optomechanical system with exceptional points
• Correspondence between winding numbers and skin modes in non-hermitian systems
• Cold atoms in cavity-generated dynamical optical potentials
• Quantum trajectories and open many-body quantum systems
• Non-Hermitian Boundary Modes
• Anatomy of skin modes and topology in non-Hermitian systems
• Quantum entanglement in condensed matter systems
• Reduced density matrices and entanglement entropy in free lattice models
• Area laws in quantum systems: mutual information and correlations
• Identifying Topological Order by Entanglement Entropy
• Observation of non-Hermitian degeneracies in a chaotic exciton-polariton billiard
• Keldysh Field Theory for Driven Open Quantum Systems
• Observation of parity-time symmetry breaking transitions in a dissipative Floquet system of ultracold atoms
• Non-Hermitian bulk-boundary correspondence and auxiliary generalized Brillouin zone theory
• Biorthogonal Quantum Mechanics
• Pump-induced Exceptional Points in Lasers
• Topologically protected defect states in open photonic systems with non-hermitian charge-conjugation and parity-time symmetry
• Bulk-Boundary Correspondence in a Non-Hermitian System in One Dimension with Chiral-Inversion Symmetry
• The emergence, coalescence and topological properties of multiple exceptional points and their experimental realization
• Spin Liquid Ground State of the Spin-1/2 Square $J_1$-$J_2$ Heisenberg Model
• Quasi-particle Statistics and Braiding from Ground State Entanglement
• Non-Hermitian Many-Body Localization
• Topology-Induced Spontaneous Non-reciprocal Pumping in Cold-Atom Systems with Loss
• The ODE/IM Correspondence
• Majorana bound states from exceptional points in non-topological superconductors
• Simulation methods for open quantum many-body systems
• Information Retrieval and Criticality in Parity-Time-Symmetric Systems
• Defining a bulk-edge correspondence for non-Hermitian Hamiltonians via singular-value decomposition
• DeSitter entropy, quantum entanglement and ADS/CFT
• Heralded magnetism in non-Hermitian atomic systems
• Entanglement entropy and the Berry phase in solid states
• Entanglement spectrum and entropy in topological non-Hermitian systems and non-unitary conformal field theories
• Bulk-boundary correspondence from the inter-cellular Zak phase
• Topological edge states in the one-dimensional super-lattice Bose-Hubbard model
• Entanglement entropy of critical spin liquids
• Generalized bulk-edge correspondence for non-hermitian topological systems
• Skin superfluid, topological Mott insulators, and asymmetric dynamics in interacting non-Hermitian Aubry-Andre-Harper models
• Emergent Fermi surface in a many-body non-Hermitian Fermionic chain
• Entanglement spectrum and symmetries in non-Hermitian fermionic non-interacting models
• Bulk-boundary correspondence for non-Hermitian Hamiltonians via Green functions
• Non-Hermitian Weyl Physics in Topological Insulator Ferromagnet Junctions
• Many-body approach to non-Hermitian physics in fermionic systems
• Non-Hermitian topological Mott insulators in one-dimensional fermionic superlattices
• DMFT reveals the non-Hermitian topology in heavy-fermion systems
• Non-Hermitian Skin Effects in Hermitian Correlated/Disordered Systems: Boundary-Sensitive/Insensitive Quantities and Pseudo Quantum Number
• Entanglement in non-unitary quantum critical spin chains
• Quantum anomaly, non-Hermitian skin effects, and entanglement entropy in open systems
• Quantum-gas microscopes - A new tool for cold-atom quantum simulators
• Engineering tunable local loss in a synthetic lattice of momentum states
• Exceptional Bound States and negative Entanglement Entropy
• Topological properties of superconducting junctions
• Topological Bose-Mott insulators in one-dimensional non-Hermitian superlattices
• Entanglement topological invariants for one-dimensional topological superconductors
• Detecting edge degeneracy in interacting topological insulators through entanglement entropy
• Rényi entropies and negative central charges in non-Hermitian quantum systems
• Two types of topological transitions in finite Majorana wires
• Dynamics of entanglement after exceptional quantum quench
• Entanglement Spectrum of Su-Schrieffer-Heeger-Hubbard Model
• Entanglement Entropy of Non-Hermitian Free Fermions
• Classification of topological phases in one dimensional interacting non-Hermitian systems and emergent unitarity
• 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
• Eigenstate entanglement entropy in $PT$ invariant non-Hermitian system
• Entanglement, non-Hermiticity, and duality
• $\eta$-pairing ground states in the non-Hermitian Hubbard model
• Correlation effects on non-Hermitian point-gap topology in zero dimension: reduction of topological classification
• Non-Hermitian band topology from momentum-dependent relaxation in two-dimensional metals with spiral magnetism
• Entropic topological invariant for a gapped one-dimensional system

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