Invisible non-Hermitian potentials in discrete-time photonic quantum walks
arXiv:2207.11423 · doi:10.1364/OL.468108
Abstract
Discrete-time photonic quantum walks on a synthetic lattice, where both spatial and temporal evolution of light is discretized, have provided recently a fascinating platform for the observation of a wealth of non-Hermitian physical phenomena and for the control of light scattering in complex media. A rather open question is whether invisible potentials, analogous to the ones known for continuous optical media, do exist in such discretized systems. Here it is shown that, under certain conditions, slowly-drifting Kramers-Kronig potentials behave as invisible potentials in discrete-time photonic quantum walks.
arXiv comment5 pages, 4 figures, accepted for publication in Optics Letters
References in corpus (26)
- Unidirectional Invisibility induced by PT-Symmetric Periodic Structures
- Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
- Efficient Light Funneling based on the non-Hermitian Skin Effect
- Photons Walking the Line: A quantum walk with adjustable coin operations
- Invisibility in PT-symmetric complex crystals
- Detecting topological invariants in nonunitary discrete-time quantum walks
- Invisibility and PT-symmetry
- Observation of Bloch oscillations in complex PT-symmetric photonic lattices
- Constant-pressure sound waves in non-Hermitian disordered media
- Invisibility in non-Hermitian tight-binding lattices
- Non-Hermitian skin effect and self-acceleration
- Wave propagation through disordered media without backscattering and intensity variations
- Detecting non-Bloch topological invariants in quantum dynamics
- Wave reflection in dielectric media obeying spatial Kramers-Kronig relations
- Wave propagation in complex coordinates
- Bidirectional invisibility in Kramers-Kronig optical media
- Invisibility on demand based on a generalized Hilbert transform
- Spatial Kramers-Kronig relation and controlled unidirectional reflection in cold atoms
- Shape-preserving beam transmission through non-Hermitian disordered lattices
- Scattering-free pulse propagation through invisible non-Hermitian disorder
- Perfect Transmission through Disordered Media
- Perfect Broadband Invisibility in Isotropic Media with Gain and Loss
- Non-Hermitian topological mobility edges and transport in photonic quantum walks
- Reflectionless and invisible potentials in photonic lattices
- Restricted Hilbert transform for non-Hermitian management of fields
- Quasi-Exactly Solvable Scattering Problems, Exactness of the Born Approximation, and Broadband Unidirectional Invisibility in Two Dimensions