Incoherent non-Hermitian skin effect in photonic quantum walks

Abstract

The non-Hermitian skin effect describes the concentration of an extensive number of eigenstates near the boundaries of certain dissipative systems. This phenomenon has raised a huge interest in different areas of physics, including photonics, deeply expanding our understanding of non-Hermitian systems and opening up new avenues in both fundamental and applied aspects of topological phenomena. The skin effect has been associated to a nontrivial point-gap spectral topology and has been experimentally demonstrated in a variety of synthetic matter systems, including photonic lattices. In most of physical models exhibiting the non-Hermitian skin effect full or partial wave coherence is generally assumed. Here we push the concept of skin effect into the fully incoherent regime and show that rather generally (but not universally) the non-Hermitian skin effect persists under dephasing dynamics. The results are illustrated by considering incoherent light dynamics in non-Hermitian photonic quantum walks.

to appear in Light: Sci. & Appl. (4 figures, draft version)

References in corpus (17)

• Making Sense of Non-Hermitian Hamiltonians
• Topological Origin of Non-Hermitian Skin Effects
• Environment-Assisted Quantum Walks in Photosynthetic Energy Transfer
• Efficient Light Funneling based on the non-Hermitian Skin Effect
• Non-Hermitian Topology and Exceptional-Point Geometries
• Universal non-Hermitian skin effect in two and higher dimensions
• Observation of Non-Hermitian Skin Effect and Topology in Ultracold Atoms
• Non-Hermitian topological phenomena: A review
• Observation of hybrid higher-order skin-topological effect in non-Hermitian topolectrical circuits
• Observation of arbitrary topological windings of a non-Hermitian band
• Topological Non-Hermitian skin effect
• Unraveling the Non-Hermitian Skin Effect in Dissipative Systems
• Liouvillian Skin Effect in an Exactly Solvable Model
• Quantum walks with random phase shifts
• Non-Hermitian Topological Phases: Principles and Prospects
• Detecting non-Bloch topological invariants in quantum dynamics
• Quantum walks on graphs representing the firing patterns of a quantum neural network

Cited by in corpus (9)

• Dephasing-induced mobility edges in quasicrystals
• Photonic Mpemba effect
• Liouvillian skin effect in quantum neural networks
• Dynamical Phase Transitions in Open Quantum Walks
• Quantum Pontus-Mpemba Effect Enabled by the Liouvillian Skin Effect
• The global phase diagram of the cluster-XY spin chain with dissipation
• Defect-driven incoherent skin localization
• Tunable chiral spiral phases in a non-Hermitian Ising-Gamma spin chain
• Magnetic Control of the Non-Hermitian Skin Effect in Two-Dimensional Lattices