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.

8 pages, 4 figures. Comments and missing references are welcome

References in corpus (57)

• Topological Origin of Non-Hermitian Skin Effects
• Efficient Light Funneling based on the non-Hermitian Skin Effect
• Tools for quantum simulation with ultracold atoms in optical lattices
• Universal non-Hermitian skin effect in two and higher dimensions
• Observation of Non-Hermitian Skin Effect and Topology in Ultracold Atoms
• Observation of hybrid higher-order skin-topological effect in non-Hermitian topolectrical circuits
• Acoustic non-Hermitian skin effect from twisted winding topology
• Observation of higher-order non-Hermitian skin effect
• Signatures of Many-Body Localization in a Controlled Open Quantum System
• Exact solution of non-Hermitian systems with generalized boundary conditions: size-dependent boundary effect and fragility of skin effect
• Tunable non-reciprocal quantum transport through a dissipative Aharonov-Bohm ring in ultracold atoms
• Dissipation induced Tonks-Girardeau gas in an optical lattice
• Universal Signature from Integrability to Chaos in Dissipative Open Quantum Systems
• Many-body localization in a non-Hermitian quasi-periodic system
• Many-body topology of non-Hermitian systems
• Symmetry breaking and spectral structure of the interacting Hatano-Nelson model
• Universal properties of dissipative Tomonaga-Luttinger liquids: Case study of a non-Hermitian XXZ spin chain
• Constructing Integrable Lindblad Superoperators
• Lieb-Liniger model of a dissipation-induced Tonks-Girardeau gas
• Non-Hermitian Many-Body Localization with Open Boundaries
• Ground-state properties of one-dimensional ultracold Bose gases in a hard-wall trap
• The effect of atom losses on the distribution of rapidities in the one-dimensional Bose gas
• Lindbladian dissipation of strongly-correlated quantum matter
• Emergent Replica Conformal Symmetry in Non-Hermitian SYK${}_2$ Chains
• Local Correlations in the Super Tonks-Girardeau Gas
• Breakdown of Tan's relation in lossy one-dimensional Bose gases
• Engineering Non-Hermitian Skin Effect with Band Topology in Ultracold Gases
• Curving the space by non-Hermiticity
• 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
• The one-dimensional Bose gas with strong two-body losses: the effect of the harmonic confinement
• Kubo formula for non-Hermitian systems and tachyon optical conductivity
• Non-Hermitian Absorption Spectroscopy
• Manipulating non-Hermitian skin effect via electric fields
• Renyi Entropy Dynamics and Lindblad Spectrum for Open Quantum System
• Stability of Time-Reversal Symmetry Protected Topological Phases
• $\eta$-pairing ground states in the non-Hermitian Hubbard model
• Full spectrum of the Liouvillian of open dissipative quantum systems in the Zeno limit
• Dynamic magnetization in non-Hermitian quantum spin system
• Interacting non-Hermitian ultracold atoms in a harmonic trap: Two-body exact solution and high-order exceptional point
• 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
• Dissipative dynamics in open XXZ Richardson-Gaudin models
• Integrable nonunitary quantum circuits
• Skin Effect in Quadratic Lindbladian Systems: an Adjoint Fermion Approach
• 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