Interaction-Induced Second-Order Skin Effect

Abstract

In contrast to the conventional (first-order) non-Hermitian skin effect (NHSE) in a $d$-dimensional system with linear size $L$, the $n$th-order (higher-order) NHSE is characterized by skin modes localized at lower-dimensional boundaries of dimension $(d-n)$. The total number of these modes scales linearly with the system size $L$. Significant progress has been made in understanding higher-order NHSE in non-interacting systems. In this work, we demonstrate the many-body interaction induced second-order skin effect in a two-dimensional non-Hermitian bosonic system. Specifically, we construct a square lattice that incorporates nonreciprocal single-boson hopping, onsite many-body interactions and two-boson pairing hopping. In the absence of interactions, no second-order NHSE is observed. However, with the inclusion of interactions, we identify interaction-induced skin modes for in-gap doublon states (i.e., bound pairs of bosons) localized at the corners of the lattice, while the bulk doublon states remain extended. These corner-localized skin modes arise from the interplay between interaction-induced edge states, localized along one-dimensional boundaries, and the nonreciprocal hopping along these boundaries. Furthermore, the number of corner skin modes scales linearly with the system size, confirming the presence of second-order NHSE in this interacting system. Our findings introduce a novel approach to realizing higher-order skin effects by leveraging interactions.

15 pages, 12 figures

References in corpus (93)

• Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
• Edge states and topological invariants of non-Hermitian systems
• Exceptional Topology of Non-Hermitian Systems
• Non-Hermitian Physics
• Topological phases of non-Hermitian systems
• Symmetry and Topology in Non-Hermitian Physics
• Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
• Topological Origin of Non-Hermitian Skin Effects
• Non-Bloch Band Theory of Non-Hermitian Systems
• Loss-induced suppression and revival of lasing
• Correspondence between winding numbers and skin modes in non-hermitian systems
• Non-Hermitian Chern bands
• Non-Hermitian Boundary Modes
• Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• Non-Hermitian skin effect and chiral damping in open quantum systems
• Repulsively bound atom pairs in an optical lattice
• Observation of non-Hermitian degeneracies in a chaotic exciton-polariton billiard
• Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas
• Chiral groundstate currents of interacting photons in a synthetic magnetic field
• Fractional quantum Hall states of atoms in optical Lattices
• Hybrid higher-order skin-topological modes in non-reciprocal systems
• Second-Order Topological Phases in Non-Hermitian Systems
• Quantum exceptional points of non-Hermitian Hamiltonians and Liouvillians: The effects of quantum jumps
• Universal non-Hermitian skin effect in two and higher dimensions
• Classification of Exceptional Points and Non-Hermitian Topological Semimetals
• Observation of Non-Hermitian Skin Effect and Topology in Ultracold Atoms
• Non-Hermitian topological phenomena: A review
• Observation of hybrid higher-order skin-topological effect in non-Hermitian topolectrical circuits
• Higher-order non-Hermitian skin effect
• Parity-time-symmetric quantum critical phenomena
• Effective operator formalism for open quantum systems
• Fractional Quantum Hall Effect in Optical Lattices
• Realization of density-dependent Peierls phases to engineer quantized gauge fields coupled to ultracold matter
• Theory of Non-Hermitian Fermionic Superfluidity with a Complex-Valued Interaction
• Entanglement Phase Transition Induced by the Non-Hermitian Skin Effect
• Tailoring quantum gases by Floquet engineering
• Second-order topological non-Hermitian skin effects
• Topological Correspondence between Hermitian and Non-Hermitian Systems: Anomalous Dynamics
• Non-Hermitian Kondo effect in ultracold alkaline-earth atoms
• Hybrid-Liouvillian formalism connecting exceptional points of non-Hermitian Hamiltonians and Liouvillians via postselection of quantum trajectories
• Topological edge states of interacting photon pairs emulated in a topolectrical circuit
• Topological non-Hermitian origin of surface Maxwell waves
• Non-Hermitian second-order skin and topological modes
• Many-body topology of non-Hermitian systems
• Quantum critical behavior influenced by measurement backaction in ultracold gases
• Hybrid skin-topological modes without asymmetric couplings
• Non-Hermitian topological Mott insulators in one-dimensional fermionic superlattices
• Symmetry breaking and spectral structure of the interacting Hatano-Nelson model
• Amoeba Formulation of Non-Bloch Band Theory in Arbitrary Dimensions
• Majorana edge states in two atomic wires coupled by pair-hopping
• Observation of momentum-space chiral edge currents in room-temperature atoms
• Dynamical sign reversal of magnetic correlations in dissipative Hubbard models
• Non-Hermitian skin clusters from strong interactions
• Topological band theory for non-Hermitian systems from the Dirac equation
• Generalized Schrieffer-Wolff Formalism for Dissipative Systems
• Liouvillian exceptional points of any order in dissipative linear bosonic systems: Coherence functions and switching between $\mathcal{P}\mathcal{T}$ and anti-$\mathcal{P}\mathcal{T}$ symmetries
• Enhancement of Second-Order Non-Hermitian Skin Effect by Magnetic Fields
• Exceptional Non-Abelian Topology in Multiband Non-Hermitian Systems
• Geometric Origin of Non-Bloch PT Symmetry Breaking
• Simulation of interaction-induced chiral topological dynamics on a digital quantum computer
• Interaction-induced non-Hermitian topological phases from a dynamical gauge field
• Non-Hermitian Mott Skin Effect
• Dynamical Degeneracy Splitting and Directional Invisibility in Non-Hermitian Systems
• Non-Abelian effects in dissipative photonic topological lattices
• Topological two-body bound states in the interacting Haldane model
• Topological origin of non-Hermitian skin effect in higher dimensions and uniform spectra
• Scale-tailored localization and its observation in non-Hermitian electrical circuits
• Interaction-induced lattices for bound states: Designing flat bands, quantized pumps and higher-order topological insulators for doublons
• 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
• Hybrid higher-order skin-topological effect in hyperbolic lattices
• Non-Hermitian Absorption Spectroscopy
• Lieb-Schultz-Mattis Theorem in Open Quantum Systems
• Many-body non-Hermitian skin effect under dynamic gauge coupling
• Correlated hopping of bosonic atoms induced by optical lattices
• Interaction induced dynamical $\mathcal{P}\mathcal{T}$ symmetry breaking in dissipative Fermi-Hubbard models
• Interaction-induced topological states of photon pairs
• Reduction of one-dimensional non-Hermitian point-gap topology by correlations
• A brief review of hybrid skin-topological effect
• Non-reciprocal dynamics and the non-Hermitian skin effect of repulsively bound pairs
• Full counting statistics in the many-body Hatano-Nelson model
• Non-Hermitian Skin Effect in Periodically-Driven Dissipative Ultracold Atoms
• Fractional Quantum Zeno Effect Emerging from Non-Hermitian Physics
• Correlation effects on non-Hermitian point-gap topology in zero dimension: reduction of topological classification
• Dynamical suppression of many-body non-Hermitian skin effect in Anyonic systems
• Interaction-induced crystalline topology of excitons
• 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
• Observation of Impurity-Induced Scale-Free Localization in a Disordered Non-Hermitian Electrical Circuit
• Novel quantum phases of two-component bosons with pair hopping in synthetic dimension
• Higher-order topological phase of interacting photon pairs
• Interacting Crystalline Topological Insulators in two-dimensions with Time-Reversal Symmetry

Cited by in corpus (4)

• Anderson Delocalization in Strongly Coupled Disordered Non-Hermitian Chains
• Versatile Control of Nonlinear Topological States in Non-Hermitian Systems
• Interplay of non-Hermitian skin effect and electronic correlations in the non-Hermitian Hubbard model via Real-space dynamical mean field theory
• Topological bound states in a lattice of rings with nearest-neighbour interactions