Interaction-induced Liouvillian skin effect in a fermionic chain with a two-body loss

Abstract

Despite recent intensive research on topological aspects of open quantum systems, effects of strong interactions have not been sufficiently explored. In this paper, we demonstrate that complex-valued interactions induce the Liouvillian skin effect by analyzing a one-dimensional correlated model with two-body loss. We show that, in the presence of complex-valued interactions, eigenmodes and eigenvalues of the Liouvillian strongly depend on boundary conditions. Specifically, we find that complex-valued interactions induce localization of eigenmodes of the Liouvillian around the right edge under open boundary conditions. To characterize the Liouvllian skin effect, we define the topological invariant by using the Liouvillian superoperator. Then, we numerically confirm that the topological invariant captures the Liouvillian skin effect. Furthermore, the presence of the localization of eigenmodes results in the unique dynamics observed only under open boundary conditions: particle accumulation at the right edge in transient dynamics. Our result paves the way to realize topological phenomena in open quantum systems induced by strong interactions.

arXiv comment16 pages, 11 figures

References in corpus (108)

• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Effect in Graphene
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Classification of topological insulators and superconductors in three spatial dimensions
• Topological Field Theory of Time-Reversal Invariant Insulators
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Edge states and topological invariants of non-Hermitian systems
• Periodic table for topological insulators and superconductors
• Exceptional Topology of Non-Hermitian Systems
• Non-Hermitian Physics
• Topological superconductors: a review
• Localization transitions in non-Hermitian quantum mechanics
• 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
• Topological Band Theory for Non-Hermitian Hamiltonians
• Non-Bloch Band Theory of Non-Hermitian Systems
• Correspondence between winding numbers and skin modes in non-hermitian systems
• Non-Hermitian Chern bands
• Realizing a lattice spin model with polar molecules
• Quantum trajectories and open many-body quantum systems
• Non-Hermitian Boundary Modes
• Topological phases of fermions in one dimension
• Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
• Anatomy of skin modes and topology in non-Hermitian systems
• A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
• Topological Mott Insulators
• Vortex Pinning and Non-Hermitian Quantum Mechanics
• Topological Thouless Pumping of Ultracold Fermions
• Non-Hermitian skin effect and chiral damping in open quantum systems
• The effects of interactions on the topological classification of free fermion systems
• Observation of non-Hermitian topology and its bulk-edge correspondence in an active mechanical metamaterial
• Edge states and topological phases in non-Hermitian systems
• Critical non-Hermitian Skin Effect
• Strong dissipation inhibits losses and induces correlations in cold molecular gases
• Reciprocal skin effect and its realization in a topolectrical circuit
• Observation of Non-Hermitian Skin Effect and Topology in Ultracold Atoms
• Non-Hermitian topological phenomena: A review
• Probing non-Hermitian Skin Effect and non-Bloch Phase Transitions
• Higher-order non-Hermitian skin effect
• Controlling the dynamics of an open many-body quantum system with localized dissipation
• Topological Non-Hermitian skin effect
• Non-Hermitian Delocalization and Eigenfunctions
• Non-Hermitian perspective of the band structure in heavy-fermion systems
• Exceptional rings in two-dimensional correlated systems with chiral symmetry
• Non-Hermitian extensions of higher-order topological phases and their biorthogonal bulk-boundary correspondence
• Observation of the Mott Insulator to Superfluid Crossover of a Driven-Dissipative Bose-Hubbard System
• Symmetry-protected nodal phases in non-Hermitian systems
• Theory of Non-Hermitian Fermionic Superfluidity with a Complex-Valued Interaction
• Topological exceptional surfaces in non-Hermitian systems with parity-time and parity-particle-hole symmetries
• Entanglement Phase Transition Induced by the Non-Hermitian Skin Effect
• Tenfold Way for Quadratic Lindbladians
• Second-order topological non-Hermitian skin effects
• Liouvillian Skin Effect: Slowing Down of Relaxation Processes without Gap Closing
• Constructing neural stationary states for open quantum many-body systems
• Non-Hermitian Kondo effect in ultracold alkaline-earth atoms
• Dissipation induced Tonks-Girardeau gas in an optical lattice
• Suppressing the loss of ultracold molecules via the continuous quantum Zeno effect
• Exact Liouvillian Spectrum of a One-Dimensional Dissipative Hubbard Model
• Knotted Non-Hermitian Metals
• Dissipative spin chain as a non-Hermitian Kitaev ladder
• Mirror skin effect and its electric circuit simulation
• Anomalous momentum diffusion in a dissipative many-body system
• Many-body topology of non-Hermitian systems
• Negative differential conductivity in an interacting quantum gas
• Quantum critical behavior influenced by measurement backaction in ultracold gases
• 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
• Resolving Discrepancy between Liouvillian Gap and Relaxation Time in Boundary-Dissipated Quantum Many-Body Systems
• Non-Hermitian fractional quantum Hall states
• Universal properties of dissipative Tomonaga-Luttinger liquids: Case study of a non-Hermitian XXZ spin chain
• Many-Body Topological and Skin States without Open Boundaries
• Dissipative Bose-Hubbard system with intrinsic two-body loss
• Dynamical sign reversal of magnetic correlations in dissipative Hubbard models
• Non-Hermitian skin clusters from strong interactions
• Liouvillian Skin Effect in an Exactly Solvable Model
• Symmetry of Open Quantum Systems: Classification of Dissipative Quantum Chaos
• Collective Excitations and Nonequilibrium Phase Transition in Dissipative Fermionic Superfluids
• Closed form solution of Lindblad master equations without gain
• Fate of the non-Hermitian skin effect in many-body fermionic systems
• Fate of fractional quantum Hall states in open quantum systems: characterization of correlated topological states for the full Liouvillian
• Interaction-induced non-Hermitian topological phases from a dynamical gauge field
• Exceptional points and the topology of quantum many-body spectra
• Observation of the Sign Reversal of the Magnetic Correlation in a Driven-Dissipative Fermi Gas in Double Wells
• Non-Hermitian skin effect in one-dimensional interacting Bose gas
• The one-dimensional Bose gas with strong two-body losses: the effect of the harmonic confinement
• Mott-Hubbard and Anderson metal-insulator transitions in correlated lattice fermions with binary disorder
• Non-Hermitian skin effects on many-body localized and thermal phases
• Reaction-limited quantum reaction-diffusion dynamics
• Many-body non-Hermitian skin effect under dynamic gauge coupling
• Topological phases protected by shifted sublattice symmetry in dissipative quantum systems
• Universal description of dissipative Tomonaga-Luttinger liquids with SU($N$) spin symmetry: Exact spectrum and critical exponents
• A dynamical theory for one-dimensional fermions with strong two-body losses: universal non-Hermitian Zeno physics and spin-charge separation
• Interaction Enabled Topological Crystalline Phases
• Reduction of one-dimensional non-Hermitian point-gap topology by correlations
• Symmetry-protected quantization of complex Berry phases in non-Hermitian many-body systems
• Point-gap topology with complete bulk-boundary correspondence in dissipative quantum systems
• Rectification in Nonequilibrium Steady States of Open Many-Body Systems
• Fate of exceptional points under interactions: Reduction of topological classifications
• Accelerating Relaxation Dynamics in Open Quantum System with Liouvillian Skin Effect
• Correlation effects on non-Hermitian point-gap topology in zero dimension: reduction of topological classification
• Liouvillian gap and single spin-flip dynamics in the dissipative Fermi-Hubbard model
• Non-Hermitian Haldane-Hubbard model: Effective description of one- and two-body dissipation
• Non-Hermitian boost deformation

Cited by in corpus (20)

• Non-Hermitian Mott Skin Effect
• 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
• Large-scale universality in quantum reaction-diffusion from Keldysh field theory
• Boundary sensitive Lindbladians and relaxation dynamics
• Non-Markovian skin effect
• Multifractality of many-body non-Hermitian skin effect
• Universality and two-body losses: lessons from the effective non-Hermitian dynamics of two particles
• Numerical instability of non-Hermitian Hamiltonian evolutions
• Lindbladian versus Postselected Non-Hermitian Topology
• Many-Body Non-Hermitian Skin Effect with Exact Steady States in the Dissipative Quantum Link Model
• Optical pumping through the Liouvillian skin effect
• Emergent Topology in Many-Body Dissipative Quantum Matter
• Spin-Depairing-Induced Exceptional Fermionic Superfluidity
• Entanglement Spectrum Dynamics as a Probe for Non-Hermitian Bulk-Boundary Correspondence in Systems with Periodic Boundaries
• Symmetry-induced fragmentation and dissipative time crystal
• Multifractal statistics of non-Hermitian skin effect on the Cayley tree
• Kinetics of Quantum Reaction-Diffusion systems
• Anatomy of Higher-Order Non-Hermitian Skin and Boundary Modes
• Liouvillian skin effects in two-dimensional electron systems at finite temperatures