Unraveling the Non-Hermitian Skin Effect in Dissipative Systems

Abstract

The non-Hermitian skin effect, i.e. eigenstate condensation at the edges in lattices with open boundaries, is an exotic manifestation of non-Hermitian systems. In Bloch theory, an effective non-Hermitian Hamiltonian is generally used to describe dissipation, which however is not norm-preserving and neglects quantum jumps. Here it is shown that in a self-consistent description of the dissipative dynamics in a one-band lattice, based on the stochastic Schrödinger equation or Lindblad master equation with a collective jump operator, the skin effect and its dynamical features are washed out. Nevertheless, both short- and long-time relaxation dynamics provide a hidden signature of the skin effect found in the semiclassical limit. In particular, relaxation toward a maximally mixed state with the largest von Neumann entropy in a lattice with open boundaries is a manifestation of the semiclassical skin effect.

14 pages, 6 figures, to appear in Phys Rev B (Rapid Communications)

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• Non-Hermitian skin effect and self-acceleration
• Non-Hermitian Topological Phases: Principles and Prospects
• Non-Hermitian Photonic Lattices: tutorial
• Non-Hermitian skin effect beyond the tight-binding models
• Spectral deformations in non-Hermitian lattices with disorder and skin effect: a solvable model
• Non-Hermitian skin effect as an impurity problem
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• Cascade of the delocalization transition in a non-Hermitian interpolating Aubry-Andr{é}-Fibonacci chain
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• Quantum Criticality in Open Quantum Spin Chains with Nonreciprocity
• Non-Hermitian Maryland Model
• Many-body non-Hermitian skin effect under dynamic gauge coupling
• Topological phases protected by shifted sublattice symmetry in dissipative quantum systems
• Topological enhancement of non-normality in non-Hermitian skin effects
• Erratic non-Hermitian skin localization
• Incoherent non-Hermitian skin effect in photonic quantum walks
• Point-gap topology with complete bulk-boundary correspondence in dissipative quantum systems
• Liouvillian Dynamics of the Open Schwinger Model: String Breaking and Kinetic Dissipation in a Thermal Medium
• The bosonic skin effect: boundary condensation in asymmetric transport
• Phase transitions and bunching of correlated particles in a non-Hermitian quasicrystal
• Non-Hermiticity induced Exceptional Points and Skin Effect in the Dice-Haldane Model
• Filling up complex spectral regions through non-Hermitian disordered chains
• Kramers' degeneracy for open systems in thermal equilibrium
• Exploring the impact of fluctuation-induced criticality on non-hermitian skin effect and quantum sensors
• Non-Hermitian skin effect in a spin-orbit-coupled Bose-Einstein condensate
• Exceptional points and exponential sensitivity for periodically driven Lindblad equations
• Investigation of a non-Hermitian edge burst with time-dependent perturbation theory
• Biorthogonal topological charge pumping in non-Hermitian systems
• Engineering imaginary stark ladder in a dissipative lattice: passive $\mathcal{P}\mathcal{T}$ symmetry, K symmetry and localized damping
• Emergent non-Hermitian localization phenomena in the synthetic space of zero-dimensional bosonic systems
• Non-Hermitian skin effect in a single trapped ion
• Lindbladian versus Postselected Non-Hermitian Topology
• Dissipative two-dimensional Raman lattice
• Inverse Design of Winding Tuple for Non-Hermitian Topological Edge Modes
• Optical pumping through the Liouvillian skin effect
• Dynamical Phase Transitions in Open Quantum Walks
• Dual Symmetry Classification of Non-Hermitian Systems and ${\mathbb{Z}}_2$ Point-Gap Topology of a Non-Unitary Quantum Walk
• Entanglement Spectrum Dynamics as a Probe for Non-Hermitian Bulk-Boundary Correspondence in Systems with Periodic Boundaries
• Topology and its detection in a dissipative Aharonov-Bohm chain
• Quantum Pontus-Mpemba Effect Enabled by the Liouvillian Skin Effect
• Hinge non-Hermitian skin effect in the single-particle properties of a strongly correlated f-electron system
• Anomalous transport in periodic photonic chains with designed loss
• Phase Diagram of a Non-Hermitian Chern Insulator: Destabilization of Chiral Edge States and Bulk-Boundary Correspondence
• Bulk--Boundary Correspondence and Boundary Zero Modes in a Non-Hermitian Kitaev Chain Model
• Topological extension including quantum jump
• Unified Bulk-Entanglement Correspondence in Non-Hermitian Systems
• Interplay of Disorder and Point-Gap Topology: Chiral Modes, Localization and Non-Hermitian Anderson Skin Effect in One Dimension
• Magnetic Control of the Non-Hermitian Skin Effect in Two-Dimensional Lattices
• Dynamic manifestation of exception points in a non-Hermitian continuous model with an imaginary periodic potential
• Nonreciprocity Induced Fractional Nonlinear Thouless Pumping
• Self-healing of non-Hermitian topological skin modes