Reduction of one-dimensional non-Hermitian point-gap topology by correlations

Abstract

In spite of extensive works on the non-Hermitian topology, correlations effects remain crucial questions. We hereby analyze correlated non-Hermitian systems with special emphasis on the one-dimensional point-gap topology. Specifically, our analysis elucidates that correlations result in reduction of the topological classification $\mathbb{Z}\times \mathbb{Z}\to \mathbb{Z}$ for systems of one synthetic dimension with charge $\mathrm{U}(1)$ symmetry and spin-parity symmetry. Furthermore, we analyze an extended Hatano-Nelson chain which exhibits striking correlation effects; correlations destroy the skin effect at the non-interacting level. This fragility of the skin effect against interactions is consistent with the reduction of the point-gap topology in the one spatial dimension. The above discoveries shed new light on the topology of correlated systems and open up new directions of researches on non-Hermitian topological physics.

14 pages and 10 figures

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Cited by in corpus (16)

• Topological Non-Hermitian skin effect
• Non-Hermitian Mott Skin Effect
• Exact solution of the Bose Hubbard model with unidirectional hopping
• Many-body non-Hermitian skin effect under dynamic gauge coupling
• Interaction-induced Liouvillian skin effect in a fermionic chain with a two-body loss
• Entanglement dynamics in the many-body Hatano-Nelson model
• Fate of exceptional points under interactions: Reduction of topological classifications
• Phase transitions and bunching of correlated particles in a non-Hermitian quasicrystal
• Modulational Instability and Dynamical Growth Blockade in the Nonlinear Hatano-Nelson Model
• Spectral structure and doublon dissociation in the two-particle non-Hermitian Hubbard model
• Non-Hermitian Haldane-Hubbard model: Effective description of one- and two-body dissipation
• Interaction-Induced Second-Order Skin Effect
• Quantum quench dynamics in the Luttinger liquid phase of the Hatano-Nelson model
• Work statistics and generalized Loschmidt echo for the Hatano-Nelson model
• Non-Hermitian topological superconductivity with symmetry-enriched spectral and eigenstate features
• Magnetic Control of the Non-Hermitian Skin Effect in Two-Dimensional Lattices