Nontrivial worldline winding in non-Hermitian quantum systems

Abstract

Amid the growing interest in non-Hermitian quantum systems, non-interacting models have received the most attention. Here, through the stochastic series expansion quantum Monte Carlo method, we investigate non-Hermitian physics in interacting quantum systems, e.g., various non-Hermitian quantum spin chains. While calculations yield consistent numerical results under open boundary conditions, non-Hermitian quantum systems under periodic boundary conditions observe an unusual concentration of imaginary-time worldlines over nontrivial winding and require enhanced ergodicity between winding-number sectors for proper convergences. Such nontrivial worldline winding is an emergent physical phenomenon that also exists in other non-Hermitian models and analytical approaches. Alongside the non-Hermitian skin effect and the point-gap spectroscopy, it largely extends the identification and analysis of non-Hermitian topological phenomena to quantum systems with interactions, finite temperatures, biorthogonal basis, and periodic boundary conditions in a novel and controlled fashion. Finally, we study the direct physical implications of such nontrivial worldline winding, which bring additional, potentially quasi-long-range contributions to the entanglement entropy.

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Cited by in corpus (9)

• Entanglement dynamics in the many-body Hatano-Nelson model
• Anomalous pumping in the non-Hermitian Rice-Mele model
• Skin Effect Induced Anomalous Dynamics from Charge-Fluctuating Initial States
• Inner non-Hermitian skin effect on Bethe lattice
• Non-Hermitian Delocalization Induced by Residue Imaginary Velocity
• Exceptional Points, Bulk-Boundary Correspondence, and Entanglement Properties for a Dimerized Hatano-Nelson Model with Staggered Potentials
• 1D Spontaneous Symmetry Breaking in thermal equilibrium via Non-Hermitian Construction
• Recurrence method in Non-Hermitian Systems
• Winding-control mechanism of non-Hermitian systems