The Maryland model was introduced more than 30 years ago as an integrable model of localization by aperiodic order. Even though it is quite popular and is rich with fascinating mathematical properties, this model has so far remained quite artificial, as compared to other models displaying dynamical localization like the periodically kicked quantum rotator or the Aubry–André model. Here we suggest that light propagation in a polygonal optical waveguide lattice provides a photonic realization of the Maryland model and enables us to observe a main prediction of this model, namely fragility of wave localization in the commensurate potential limit.
Maryland model in optical waveguide lattices
Longhi S.
2021-01-01
Abstract
The Maryland model was introduced more than 30 years ago as an integrable model of localization by aperiodic order. Even though it is quite popular and is rich with fascinating mathematical properties, this model has so far remained quite artificial, as compared to other models displaying dynamical localization like the periodically kicked quantum rotator or the Aubry–André model. Here we suggest that light propagation in a polygonal optical waveguide lattice provides a photonic realization of the Maryland model and enables us to observe a main prediction of this model, namely fragility of wave localization in the commensurate potential limit.File | Dimensione | Formato | |
---|---|---|---|
uff.pdf
accesso aperto
Descrizione: pre-print
:
Pre-Print (o Pre-Refereeing)
Dimensione
432.59 kB
Formato
Adobe PDF
|
432.59 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.