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.

5 pages, 6 figures, to appear in Optics Letters

References in corpus (6)

• Topological Origin of Non-Hermitian Skin Effects
• Efficient Light Funneling based on the non-Hermitian Skin Effect
• Nonreciprocal Photon Transmission and Amplification via Reservoir Engineering
• Topological phase transition in non-Hermitian quasicrystals
• Skin effect and winding number in disordered non-Hermitian systems
• 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