Non-Hermitian skin effects on many-body localized and thermal phases

Abstract

Localization in one-dimensional interacting systems can be caused by disorder potentials or non-Hermiticity. The former phenomenon is the many-body localization (MBL), and the latter is the many-body non-Hermitian skin effect (NHSE). In this work, we numerically investigate the interplay between these two kinds of localization, where the energy-resolved MBL arises from a deterministic quasiperiodic potential in a fermionic chain. We propose a set of eigenstate properties and long-time dynamics that can collectively distinguish the two localization mechanisms in the presence of non-Hermiticity. By computing the proposed diagnostics, we show that the thermal states are vulnerable to the many-body NHSE while the MBL states remain resilient up to a strong non-Hermiticity. Finally, we discuss experimental observables that can probe the difference between the two localizations in a non-Hermitian quasiperiodic fermionic chain. Our results pave the way toward experimental observations on the interplay of interaction, quasiperiodic potential, and non-Hermiticity.

7 pages, 4 figures

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• Enhancement of Second-Order Non-Hermitian Skin Effect by Magnetic Fields
• Emergent entanglement phase transitions in non-Hermitian Aubry-André-Harper chains
• Non-Hermitian strongly interacting Dirac fermions: a quantum Monte-Carlo study
• Observation of the non-Hermitian skin effect and Fermi skin on a digital quantum computer
• Occupation-dependent particle separation in one-dimensional non-Hermitian lattices
• Many-body non-Hermitian skin effect under dynamic gauge coupling
• Interaction-induced Liouvillian skin effect in a fermionic chain with a two-body loss
• Phase transitions and bunching of correlated particles in a non-Hermitian quasicrystal
• Universal non-Hermitian transport in disordered systems
• Quantum criticality and Kibble-Zurek scaling in the Aubry-André-Stark model
• From Ergodicity to Many-Body Localization in a One-Dimensional Interacting Non-Hermitian Stark System
• Universal scaling of Green's functions in disordered non-Hermitian systems
• Stable many-body localization under random continuous measurements in the no-click limit
• Expedited thermalization dynamics in incommensurate systems
• Photon-mediated dipole-dipole interactions as a resource for quantum science and technology in cold atoms
• Localization and mobility edges in non-Hermitian continuous quasiperiodic systems
• Dissipation induced transition between delocalization and localization in the three-dimensional Anderson model
• Boundary-driven many-body phase transitions in a non-Hermitian disordered fermionic chain
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• Critical properties in the non-Hermitian Aubry-Andre-Stark model
• Limitations of SVD-Based Diagnostics for Non-Hermitian Many-Body Localization with Time-Reversal Symmetry