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.

8 pages, 6 figures

References in corpus (20)

• Experimental quantum teleportation
• Non-Hermitian Physics
• The physics of exceptional points
• Topological Origin of Non-Hermitian Skin Effects
• Efficient Light Funneling based on the non-Hermitian Skin Effect
• Observation of non-Bloch parity-time symmetry and exceptional points
• Entanglement Phase Transition Induced by the Non-Hermitian Skin Effect
• Many-body topology of non-Hermitian systems
• Symmetry breaking and spectral structure of the interacting Hatano-Nelson model
• 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
• Rényi entropies and negative central charges in non-Hermitian quantum systems
• Emergent entanglement phase transitions in non-Hermitian Aubry-André-Harper chains
• Quantum Entanglement of Non-Hermitian Quasicrystals
• Entanglement Entropy of Non-Hermitian Free Fermions
• 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

Cited by in corpus (10)

• Non-reciprocal dynamics and the non-Hermitian skin effect of repulsively bound pairs
• Quantum entanglement and non-Hermiticity in free-fermion systems
• Many-body phase transitions in a non-Hermitian Ising chain
• Numerical instability of non-Hermitian Hamiltonian evolutions
• Characterizing phase transitions and criticality in non-Hermitian extensions of the XY model
• Boundary-driven many-body phase transitions in a non-Hermitian disordered fermionic chain
• Yang-Lee edge singularity and quantum criticality in non-Hermitian PXP model
• Anomalous flow in correlated quantum systems: No-go result and multiple-charge scenario
• Quantifying non-Hermiticity using single- and many-particle quantum properties
• Probing phase transitions in non-Hermitian systems with quantum entanglement