Delocalization of light in photonic lattices with unbounded potentials
arXiv:2310.04725 · doi:10.1364/OL.500235
Abstract
In classical mechanics, a particle cannot escape from an unbounded potential well. Naively, one would expect a similar result to hold in wave mechanics, since high barriers make tunneling difficult. However, this is not always the case and it is known that wave delocalization can arise in certain models with incommensurate unbounded potentials sustaining critical states, i.e. states neither fully extended nor fully localized. Here we introduce a different and broader class of unbounded potentials, which are not quasi-periodic and do not require any specially-tailored shape, where wave delocalization is observed. The results are illustrated by considering light dynamics in synthetic photonic lattices, which should provide a feasible platform for the experimental observation of wave delocalization in unbounded potentials.
arXiv comment7 pages, 4 figures
References in corpus (17)
- Synthetic Dimension in Photonics
- Direct observation of a localization transition in quasi-periodic photonic lattices
- Experimental Measurement of the Berry Curvature from Anomalous Transport
- Electric quantum walks with individual atoms
- Observation of Bloch oscillations in complex PT-symmetric photonic lattices
- Anomalous mobility edges in one-dimensional quasiperiodic models
- Propagation and spectral properties of quantum walks in electric fields
- Observation of topological phase with critical localization in a quasi-periodic lattice
- Aharonov-Bohm Caging and Inverse Anderson transition in Ultracold Atoms
- Lyapunov exponent, mobility edges, and critical region in the generalized Aubry-Andre model with an unbounded quasiperiodic potential
- Critical integer quantum Hall topology and the integrable Maryland model as a topological quantum critical point
- Dipole and Bloch oscillations of cold atoms in a parabolic lattice
- Non-Hermitian topological mobility edges and transport in photonic quantum walks
- Singular continuous spectrum for singular potential
- Steering between Bloch oscillation and dipole oscillation in parabolic optical waveguide arrays
- Maryland model in optical waveguide lattices
- Singular continuous spectrum and generic full spectral/packing dimension for unbounded quasiperiodic Schrödinger operators