Non-Hermitian skin effect in one-dimensional interacting Bose gas

Abstract

Non-Hermitian skin effect (NHSE) is a unique feature studied extensively in non-interacting non-Hermitian systems. In this work, we extend the NHSE originally discovered in non-interacting systems to interacting many-body systems by investigating an exactly solvable non-Hermitian model, i.e., the prototypical Lieb-Liniger Bose gas with imaginary vector potential. We show that this non-Hermitian many-body model can also be exactly solved through Bethe ansatz. By solving the Bethe ansatz equations accurately, the explicit eigenfunction is obtained, and the model's density profiles and momentum distributions are calculated to characterize the NHSE quantitatively. We find that the NHSE is gradually suppressed on the repulsive side but does not vanish as the repulsive interaction strength increases. On the attractive side, the NSHE for bound-state solutions is enhanced as interaction strength grows. In contrast, for the scattering state the NHSE shows a non-monotonic behavior in the attractive side. Our work provides the first example of the NHSE in exactly solvable many-body systems, and we envision that it can be extended to other non-Hermitian many-body systems, especially to integrable models.

arXiv comment8 pages, 4 figures. Comments and missing references are welcome

References in corpus (134)

• Feshbach Resonances in Ultracold Gases
• Edge states and topological invariants of non-Hermitian systems
• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• Exceptional Topology of Non-Hermitian Systems
• Non-Hermitian Physics
• Localization transitions in non-Hermitian quantum mechanics
• Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
• Topological Origin of Non-Hermitian Skin Effects
• Correspondence between winding numbers and skin modes in non-hermitian systems
• Non-Hermitian Chern bands
• Realizing a lattice spin model with polar molecules
• Observation of bulk boundary correspondence breakdown in topolectrical circuits
• Non-Hermitian Boundary Modes
• Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
• Efficient Light Funneling based on the non-Hermitian Skin Effect
• Non-Hermitian skin effect and chiral damping in open quantum systems
• Observation of non-Hermitian topology and its bulk-edge correspondence in an active mechanical metamaterial
• Non-Hermitian bulk-boundary correspondence and auxiliary generalized Brillouin zone theory
• Hybrid higher-order skin-topological modes in non-reciprocal systems
• Non-Hermitian Topological Invariants in Real Space
• Critical non-Hermitian Skin Effect
• Tools for quantum simulation with ultracold atoms in optical lattices
• Universal non-Hermitian skin effect in two and higher dimensions
• Non-Hermitian Topological Sensors
• Reciprocal skin effect and its realization in a topolectrical circuit
• Observation of Non-Hermitian Skin Effect and Topology in Ultracold Atoms
• Bulk-Boundary Correspondence in a Non-Hermitian System in One Dimension with Chiral-Inversion Symmetry
• Observation of hybrid higher-order skin-topological effect in non-Hermitian topolectrical circuits
• Probing non-Hermitian Skin Effect and non-Bloch Phase Transitions
• Interplay of non-Hermitian skin effects and Anderson localization in non-reciprocal quasiperiodic lattices
• Acoustic non-Hermitian skin effect from twisted winding topology
• Observation of higher-order non-Hermitian skin effect
• Controlling the dynamics of an open many-body quantum system with localized dissipation
• Non-Hermitian skin modes induced by on-site dissipations and chiral tunneling effect
• Non-Hermitian Many-Body Localization
• Topology-Induced Spontaneous Non-reciprocal Pumping in Cold-Atom Systems with Loss
• Parity-time-symmetric quantum critical phenomena
• Signatures of Many-Body Localization in a Controlled Open Quantum System
• Observation of the Mott Insulator to Superfluid Crossover of a Driven-Dissipative Bose-Hubbard System
• Algebraic versus exponential decoherence in dissipative many-particle systems
• Theory of Non-Hermitian Fermionic Superfluidity with a Complex-Valued Interaction
• Exact solution of non-Hermitian systems with generalized boundary conditions: size-dependent boundary effect and fragility of skin effect
• Information Retrieval and Criticality in Parity-Time-Symmetric Systems
• Tunable non-reciprocal quantum transport through a dissipative Aharonov-Bohm ring in ultracold atoms
• Non-equilibrium steady-states in a driven-dissipative superfluid
• Beyond Tonks-Girardeau: strongly correlated regime in quasi-one-dimensional Bose gases
• Complex Spacing Ratios: A Signature of Dissipative Quantum Chaos
• Non-Hermitian Kondo effect in ultracold alkaline-earth atoms
• Dissipation induced Tonks-Girardeau gas in an optical lattice
• Exact Bethe ansatz spectrum of a tight-binding chain with dephasing noise
• Quantum Control by Imaging : The Zeno effect in an ultracold lattice gas
• Non-Bloch band collapse and chiral Zener tunneling
• Exact Liouvillian Spectrum of a One-Dimensional Dissipative Hubbard Model
• Topological Phase Transition driven by Infinitesimal Instability: Majorana Fermions in Non-Hermitian Spintronics
• Universal Signature from Integrability to Chaos in Dissipative Open Quantum Systems
• Continuous Phase Transition without Gap Closing in Non-Hermitian Quantum Many-Body Systems
• Non-Hermitian Linear Response Theory
• Skin superfluid, topological Mott insulators, and asymmetric dynamics in interacting non-Hermitian Aubry-Andre-Harper models
• Mirror skin effect and its electric circuit simulation
• Many-body localization in a non-Hermitian quasi-periodic system
• Emergent Fermi surface in a many-body non-Hermitian Fermionic chain
• Many-body topology of non-Hermitian systems
• Anomalous momentum diffusion in a dissipative many-body system
• Helical damping and anomalous critical non-Hermitian skin effect
• Non-Hermitian topological Mott insulators in one-dimensional fermionic superlattices
• Dynamics of Ultracold Quantum Gases in the Dissipative Fermi-Hubbard Model
• Symmetry breaking and spectral structure of the interacting Hatano-Nelson model
• Non-Hermitian phase transition from a polariton Bose-Einstein condensate to a photon laser
• Non-Hermitian Skin Effects in Hermitian Correlated/Disordered Systems: Boundary-Sensitive/Insensitive Quantities and Pseudo Quantum Number
• Non-Hermitian fractional quantum Hall states
• Evidence for the super Tonks-Girardeau gas
• Universal properties of dissipative Tomonaga-Luttinger liquids: Case study of a non-Hermitian XXZ spin chain
• Constructing Integrable Lindblad Superoperators
• Bethe Ansatz study of one-dimensional Bose and Fermi gases with periodic and hard wall boundary conditions
• Many-Body Topological and Skin States without Open Boundaries
• Lieb-Liniger model of a dissipation-induced Tonks-Girardeau gas
• Non-Hermitian Many-Body Localization with Open Boundaries
• Dissipative Bose-Hubbard system with intrinsic two-body loss
• Critical fluctuations at a many-body exceptional point
• Kondo effect in a parity-time-symmetric non-Hermitian Hamiltonian
• Ground-state properties of one-dimensional ultracold Bose gases in a hard-wall trap
• Dynamical sign reversal of magnetic correlations in dissipative Hubbard models
• Collective Excitations and Nonequilibrium Phase Transition in Dissipative Fermionic Superfluids
• The effect of atom losses on the distribution of rapidities in the one-dimensional Bose gas
• Exceptional Spin Liquids from Couplings to the Environment
• Topological Bose-Mott insulators in one-dimensional non-Hermitian superlattices
• Dynamics of a Tonks-Girardeau gas released from a hard-wall trap
• Lindbladian dissipation of strongly-correlated quantum matter
• Integrability of $1D$ Lindbladians from operator-space fragmentation
• The 1D interacting Bose gas in a hard wall box
• Yang-Baxter integrable Lindblad equations
• Transition from Tonks-Girardeau gas to super-Tonks-Girardeau gas as an exact many-body dynamics problem
• High order exceptional points in ultracold Bose gases
• Local Correlations in the Super Tonks-Girardeau Gas
• Emergent Replica Conformal Symmetry in Non-Hermitian SYK${}_2$ Chains
• Engineering Non-Hermitian Skin Effect with Band Topology in Ultracold Gases
• Breakdown of Tan's relation in lossy one-dimensional Bose gases
• Curving the space by non-Hermiticity
• Quantum quench in PT-symmetric Luttinger liquid
• Biorthogonal quantum criticality in non-Hermitian many-body systems
• Non-Hermitian Squeezed Polarons
• Theoretical Prediction of Non-Hermitian Skin Effect in Ultracold Atom Systems
• Metastable criticality and the super Tonks-Girardeau gas
• Kubo formula for non-Hermitian systems and tachyon optical conductivity
• The one-dimensional Bose gas with strong two-body losses: the effect of the harmonic confinement
• Non-Hermitian Absorption Spectroscopy
• Interaction induced dynamical $\mathcal{P}\mathcal{T}$ symmetry breaking in dissipative Fermi-Hubbard models
• Manipulating non-Hermitian skin effect via electric fields
• Quantum Phase Transition in a Quantum Ising Chain at Nonzero Temperatures
• Renyi Entropy Dynamics and Lindblad Spectrum for Open Quantum System
• Stability of Time-Reversal Symmetry Protected Topological Phases
• Dissipation induced Luttinger liquid correlations in a one dimensional Fermi gas
• $\eta$-pairing ground states in the non-Hermitian Hubbard model
• Dynamic magnetization in non-Hermitian quantum spin system
• Full spectrum of the Liouvillian of open dissipative quantum systems in the Zeno limit
• Interacting non-Hermitian ultracold atoms in a harmonic trap: Two-body exact solution and high-order exceptional point
• Rectification in Nonequilibrium Steady States of Open Many-Body Systems
• Interaction effects on $\mathcal{P}\mathcal{T}$-symmetry breaking transition in atomic gases
• Emergent Mott insulators and non-Hermitian conservation laws in an interacting bosonic chain with noninteger filling and nonreciprocal hopping
• Dynamical preparation of a steady ODLRO state in the Hubbard model with local non-Hermitian impurity
• Quantum criticality in interacting bosonic Kitaev-Hubbard models
• Non-Hermitian Hubbard model without the sign problem
• Symmetry protected topological edge modes and emergent partial time reversal symmetry breaking in open quantum many-body systems
• Melting of the critical behavior of a Tomonaga-Luttinger liquid under dephasing
• Dissipative dynamics in open XXZ Richardson-Gaudin models
• Integrable nonunitary quantum circuits
• Skin Effect in Quadratic Lindbladian Systems: an Adjoint Fermion Approach
• Dissipation-induced correlations in 1D bosonic systems
• Quantum fluctuations on top of a $\mathcal{P}\mathcal{T}$-symmetric Bose-Einstein Condensate
• Correlations in non-Hermitian systems and Diagram techniques for the steady state
• Simulating Lindbladian evolution with non-abelian symmetries: Ballistic front propagation in the $SU(2)$ Hubbard model with a localized loss
• Probing the superfluid-insulator phase transition by a non-Hermitian external field
• Fate of symmetry protected coherence in open quantum system
• Building ground states of Hubbard model by time-ordered bound-pair injection

Cited by in corpus (25)

• Topological Non-Hermitian skin effect
• Exact solution of the Bose Hubbard model with unidirectional hopping
• Occupation-dependent particle separation in one-dimensional non-Hermitian lattices
• Interaction-induced Liouvillian skin effect in a fermionic chain with a two-body loss
• Entanglement dynamics in the many-body Hatano-Nelson model
• Scale-free non-Hermitian skin effect in a boundary-dissipated spin chain
• Non-reciprocal dynamics and the non-Hermitian skin effect of repulsively bound pairs
• Phase transitions and bunching of correlated particles in a non-Hermitian quasicrystal
• General criterion for non-Hermitian skin effects and Application: Fock space skin effects in many body systems
• Dynamical suppression of many-body non-Hermitian skin effect in Anyonic systems
• Many-body Non-Hermitian Skin Effect At Finite Temperatures
• 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
• Exact non-Hermitian mobility edges and robust flat bands in two-dimensional Lieb lattices with imaginary quasiperiodic potentials
• Numerical instability of non-Hermitian Hamiltonian evolutions
• Localization and mobility edges in non-Hermitian continuous quasiperiodic systems
• Quantum quench dynamics in the Luttinger liquid phase of the Hatano-Nelson model
• Many-Body Non-Hermitian Skin Effect with Exact Steady States in the Dissipative Quantum Link Model
• Dissipation induced transition between delocalization and localization in the three-dimensional Anderson model
• Bulk-boundary correspondence in topological systems with the momentum dependent energy shift
• Non-Hermitian skin effect in fragmented Hilbert spaces of one-dimensional fermionic lattices
• An Explicit Wavefunction of the Interacting Non-Hermitian Spin-1/2 1D System
• The $\mathcal{P}\mathcal{T}$-symmetry-breaking transition in a chain of trapped interacting ions
• Dissipation induced ergodic-nonergodic transitions in finite-height mosaic Wannier-Stark lattices
• Generic non-Hermitian mobility edges in a class of duality-breaking quasicrystals