Maryland model in optical waveguide lattices

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...

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Detalles Bibliográficos
Autor: Longhi, Stefano
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2021
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/240721
Acceso en línea:http://hdl.handle.net/10261/240721
Access Level:acceso abierto
Descripción
Sumario: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.

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