Stochastic non-Hermitian skin effect

Abstract

A hallmark of photonic transport in non-Hermitian lattices with asymmetric hopping is the robust unidirectional flow of light, which is responsible for important phenomena such as the non-Hermitian skin effect. Here we show that the same effect can be induced by stochastic fluctuations in lattices which maintain a symmetric hopping on average. We illustrate such a fluctuation-induced non-Hermitian transport by discussing stochastic funneling of light, in which light is pushed toward an interface by the stochastic-induced skin effect.

arXiv comment5 pages, 6 figures, to appear in Optics Letters

References in corpus (31)

• Edge states and topological invariants of non-Hermitian systems
• Localization transitions in non-Hermitian quantum mechanics
• Topological phases of non-Hermitian systems
• Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
• Topological Origin of Non-Hermitian Skin Effects
• Anomalous edge state in a non-Hermitian lattice
• 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
• Anatomy of skin modes and topology in non-Hermitian systems
• Non-Hermitian robust edge states in one-dimension: Anomalous localization and eigenspace condensation at exceptional points
• Photons Walking the Line: A quantum walk with adjustable coin operations
• Observation of non-Hermitian topology and its bulk-edge correspondence in an active mechanical metamaterial
• Nonreciprocal Photon Transmission and Amplification via Reservoir Engineering
• Topological phase transition in non-Hermitian quasicrystals
• Decoherence and disorder in quantum walks: From ballistic spread to localization
• Probing non-Hermitian Skin Effect and non-Bloch Phase Transitions
• Non-Hermitian Delocalization and Eigenfunctions
• Robust light transport in non-Hermitian photonic lattices
• Experimental Measurement of the Berry Curvature from Anomalous Transport
• Simulating dynamic quantum phase transitions in photonic quantum walks
• Photon propagation in a discrete fiber network: An interplay of coherence and losses
• Non-Hermitian transparency and one-way transport in low-dimensional lattices by an imaginary gauge field
• Skin effect and winding number in disordered non-Hermitian systems
• Non-Hermitian gauged topological laser arrays
• Non-Bloch $\mathcal{P}\mathcal{T}$ symmetry breaking in non-Hermitian Photonic Quantum Walks
• Non-reciprocal transmission in photonic lattices based on unidirectional coherent perfect absorption
• Mitigation of dynamical instabilities in laser arrays via non-Hermitian coupling
• Momentum-independent reflectionless transmission in the non-Hermitian time-reversal symmetric system
• Non-Hermitian interferometer: Unidirectional amplification without distortion

Cited by in corpus (13)

• Topological Non-Hermitian skin effect
• Unraveling the Non-Hermitian Skin Effect in Dissipative Systems
• Non-Hermitian skin effect beyond the tight-binding models
• Spectral deformations in non-Hermitian lattices with disorder and skin effect: a solvable model
• Disorder-driven Phase Transitions of Second-order Non-Hermitian Skin Effects
• Erratic non-Hermitian skin localization
• Filling up complex spectral regions through non-Hermitian disordered chains
• Topological phase transition in fluctuating imaginary gauge fields
• Non-Hermitian entanglement dip from scaling-induced exceptional criticality
• Extended unitarity and absence of skin effect in periodically driven systems
• Phase transitions in non-Hermitian superlattices
• Asymptotically exact solution of the non-Hermitian disordered interacting Hatano-Nelson chain
• Correspondence between non-Hermitian topology and directional amplification in the presence of disorder