Anderson localization in synthetic photonic lattice with random coupling

Artem V. Pankov, Ilya D. Vatnik, Dmitry V. Churkin, Stanislav A. Derevyanko

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

A synthetic photonic lattice (SPL) is a re-configurable test-bed for studying the dynamics of one-dimensional mesh lattices including the photonic implementations of discrete time quantum walks. Unlike other realizations of photonic lattices, SPL possesses easy and fast control of lattice parameters. Here we consider disordered SPL where the coupling ratio between the two fiber loops realizing the lattice is random but does not change between the round trips. We obtain a new analytical result for the localization length (inverse Lyapunov exponent) for a practical case of weak coupling disorder. We also numerically study the dynamics of the pulse train circulating within the loops and observe that despite delocalization transition at the band center the pulse spreading is arrested even at small values of the disorder.

Original languageEnglish
Pages (from-to)4424-4434
Number of pages11
JournalOptics Express
Volume27
Issue number4
DOIs
StatePublished - 1 Jan 2019

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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