Many-body entanglement and spectral clusters in the extended hard-core bosonic Hatano-Nelson model

Abstract

We study many-body entanglements and spectra of the extended bosonic Hatano-Nelson model in the hard-core limit. We show that the system undergoes a phase transition from a gapless phase to a charge density wave phase accompanied by a $\mathcal{P}\mathcal{T}$ transition in the first excited state. The phase transition is characterized by the crossing of the ground-state biorthogonal order parameter and the sudden change of the first excited-state entanglement entropy. The gapless phase is verified by the logarithmic scaling of the ground-state entanglement entropy with the central charge $c=1$. Furthermore, we show that all energy spectral clusters would form ellipses in strong nearest-neighbor interactions, for which we establish a universal scaling law. The lengths of the major and minor axes are shown to obey power laws with respect to the nearest-neighbor interaction. The exact expressions are derived for the numbers of energy levels on the outermost elliptic ring of each clusters.

arXiv comment8 pages, 6 figures

References in corpus (48)

• Quantum entanglement
• Experimental quantum teleportation
• Quantum sensing
• Entanglement Entropy and Quantum Field Theory
• Area laws for the entanglement entropy - a review
• Entanglement in quantum critical phenomena
• Edge states and topological invariants of non-Hermitian systems
• Scaling of Entanglement close to a Quantum Phase Transitions
• Exceptional Topology of Non-Hermitian Systems
• Non-Hermitian Physics
• Topological phases of non-Hermitian systems
• The physics of exceptional points
• Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
• Topological Origin of Non-Hermitian Skin Effects
• Anomalous edge state in a non-Hermitian lattice
• Non-Bloch Band Theory of Non-Hermitian Systems
• Correspondence between winding numbers and skin modes in non-hermitian systems
• Non-Hermitian Boundary Modes
• Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
• Efficient Light Funneling based on the non-Hermitian Skin Effect
• Non-Hermitian robust edge states in one-dimension: Anomalous localization and eigenspace condensation at exceptional points
• On the role of entanglement in quantum computational speed-up
• Observation of Bulk Fermi Arc and Polarization Half Charge from Paired Exceptional Points
• Non-Hermitian bulk-boundary correspondence and auxiliary generalized Brillouin zone theory
• Observation of non-Bloch parity-time symmetry and exceptional points
• Entanglement Phase Transition Induced by the Non-Hermitian Skin Effect
• Non-Hermitian Hopf-Link Exceptional Line Semimetals
• Entanglement spectrum and entropy in topological non-Hermitian systems and non-unitary conformal field theories
• 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
• Many-body topology of non-Hermitian systems
• Entanglement spectrum and symmetries in non-Hermitian fermionic non-interacting models
• Symmetry breaking and spectral structure of the interacting Hatano-Nelson model
• Defective Edge States and Anomalous Bulk-Boundary Correspondence in non-Hermitian Topological Systems
• Entanglement Entropy of Non Unitary Conformal Field Theory
• Many-Body Topological and Skin States without Open Boundaries
• Non-Hermitian skin clusters from strong interactions
• Fate of the non-Hermitian skin effect in many-body fermionic systems
• The Kibble-Zurek mechanism at exceptional points
• Rényi entropies and negative central charges in non-Hermitian quantum systems
• Emergent entanglement phase transitions in non-Hermitian Aubry-André-Harper chains
• Hybrid exceptional point created from type III Dirac point
• Quantum Entanglement of Non-Hermitian Quasicrystals
• Entanglement Entropy of Non-Hermitian Free Fermions
• Topological invariants, zero mode edge states and finite size effect for a generalized non-reciprocal Su-Schrieffer-Heeger model
• Absence of logarithmic and algebraic scaling entanglement phases due to skin effect
• Steady-state edge burst: From free-particle systems to interaction-induced phenomena
• Engineering Yang-Lee anyons via Majorana bound states

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