Steady-state edge burst: From free-particle systems to interaction-induced phenomena

Abstract

The interplay between the non-Hermitian skin effect and the imaginary gap of lossy lattices results in the edge burst, a boundary-induced dynamical phenomenon in which an exceptionally large portion of particle loss occurs at the edge. Here, we find that this intriguing non-Hermitian dynamical phenomenon can be exactly mapped into the steady-state density distribution of a corresponding open quantum system. Consequently, the bulk-edge scaling relation of loss probability in the edge burst maps to that of steady-state density. Furthermore, we introduce a many-body open-system model in which the two-body loss generates an interaction-induced non-Hermitian skin effect. Using the positive-$P$ method, we demonstrate the validity of the scaling relation for steady-state correlators. These results provide a unique perspective on the interaction-induced many-body non-Hermitian skin effect. Our predictions are testable in state-of-the-art experimental platforms.

arXiv comment13 pages, 6 figures

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• Many-body entanglement and spectral clusters in the extended hard-core bosonic Hatano-Nelson model
• Universal scaling of Green's functions in disordered non-Hermitian systems
• Constraints of internal symmetry on the non-Hermitian skin effect and bidirectional skin effect under the action of the Hermitian conjugate of time-reversal symmetry
• Imaginary gap-closed points and dynamics in a class of dissipative systems
• General theory for infernal points in non-Hermitian systems
• Many-Body Non-Hermitian Skin Effect with Exact Steady States in the Dissipative Quantum Link Model
• Theory for the spectral splitting exponent of exceptional points
• Spin-Depairing-Induced Exceptional Fermionic Superfluidity