Non-Hermitian skin clusters from strong interactions

Abstract

Strong, non-perturbative interactions often lead to new exciting physics, as epitomized by emergent anyons from the Fractional Quantum Hall effect. Within the actively investigated domain of non-Hermitian physics, we discover a new family of states known as non-Hermitian skin clusters. Taking distinct forms as Vertex, Topological, Interface, Extended, and Localized skin clusters, they generically originate from asymmetric correlated hoppings on a lattice, in the strongly interacting limit with quenched single-body energetics. Distinct from non-Hermitian skin modes which accumulate at boundaries, our skin clusters are predominantly translation-invariant particle clusters. As purely interacting phenomena, they fall outside the purview of generalized Brillouin zone analysis, although our effective lattice formulation provides alternative analytic and topological characterization. Non-Hermitian skin clusters fundamentally originate from the fragmentation structure of the Hilbert space and may thus be of significant interest in modern many-body contexts like the ETH and quantum scars.

21 pages,18 figures, and 1 table in total. Comments are welcome

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• Topological Non-Hermitian skin effect
• Dimensional transmutation from non-Hermiticity
• Observation of non-Hermitian edge burst in quantum dynamics
• Non-Hermitian Mott Skin Effect
• Universal competitive spectral scaling from the critical non-Hermitian skin effect
• Zoology of non-Hermitian spectra and their graph topology
• Nonequilibrium dynamics of the localization-delocalization transition in the non-Hermitian Aubry-André model
• Non-Hermitian strongly interacting Dirac fermions: a quantum Monte-Carlo study
• Scale-tailored localization and its observation in non-Hermitian electrical circuits
• Non-Hermitian Squeezed Polarons
• Observation of the non-Hermitian skin effect and Fermi skin on a digital quantum computer
• High-fidelity realization of the AKLT state on a NISQ-era quantum processor
• Occupation-dependent particle separation in one-dimensional non-Hermitian lattices
• Observation of quantum thermalization restricted to Hilbert space fragments
• Anatomy of open-boundary bulk in multiband non-Hermitian systems
• Interaction-induced Liouvillian skin effect in a fermionic chain with a two-body loss
• Percolation-induced PT symmetry breaking
• A brief review of hybrid skin-topological effect
• Phase transitions and bunching of correlated particles in a non-Hermitian quasicrystal
• Fate of exceptional points under interactions: Reduction of topological classifications
• The non-Hermitian skin effect: A perspective
• Chiral metals and entrapped insulators in a one-dimensional topological non-Hermitian system
• Dynamical suppression of many-body non-Hermitian skin effect in Anyonic systems
• Engineering topological states and quantum-inspired information processing using classical circuits
• 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
• Liouvillian skin effects and fragmented condensates in an integrable dissipative Bose-Hubbard model
• Many-body entanglement and spectral clusters in the extended hard-core bosonic Hatano-Nelson model
• Nontrivial worldline winding in non-Hermitian quantum systems
• Multifractality of many-body non-Hermitian skin effect
• Non-Hermitian Haldane-Hubbard model: Effective description of one- and two-body dissipation
• Non-Hermitian boost deformation
• Measurement-Induced Entanglement Phase Transition in Free Fermion Systems
• Interaction-Induced Second-Order Skin Effect
• Non-Hermitian Skin Effect Along Hyperbolic Geodesics
• Nonlinear Hall effects with an exceptional ring
• Quantum quench dynamics in the Luttinger liquid phase of the Hatano-Nelson model
• Transfer learning from Hermitian to non-Hermitian quantum many-body physics
• Work statistics and generalized Loschmidt echo for the Hatano-Nelson model
• Topologically compatible non-Hermitian skin effect
• Many-body critical non-Hermitian skin effect
• Chiral Dissociation of Bound Photon Pairs for a Non-Hermitian Skin Effect
• Non-Hermitian skin effect in fragmented Hilbert spaces of one-dimensional fermionic lattices
• Non-Hermitian ultra-strong bosonic clustering through interaction-induced caging
• Topologically protected negative entanglement
• Non-Hermitian chiral anomalies in interacting systems
• Winding-control mechanism of non-Hermitian systems
• Interacting many-body non-Hermitian systems as Markov chains