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Maryland model in optical waveguide lattices

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arxiv 2102.09221 v1 pith:SS2ZPPPF submitted 2021-02-18 physics.optics cond-mat.dis-nnquant-ph

Maryland model in optical waveguide lattices

classification physics.optics cond-mat.dis-nnquant-ph
keywords modellocalizationmarylandopticalquitewaveguideaperiodicartificial
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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abstract

The Maryland model was introduced more than 30 years ago as an integrable model of localization by aperiodic order. Even though quite popular and rich of 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-Andre$^{\prime}$ model. Here we suggest that light propagation in a polygonal optical waveguide lattice provides a photonic realization of the Maryland model and enables to observe a main prediction of this model, namely fragility of wave localization in the commensurate potential limit.

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