Research output: Contribution to journal › Article › peer-review
Anderson localization in synthetic photonic lattice with random coupling. / Pankov, Artem V.; Vatnik, Ilya D.; Churkin, Dmitry V. et al.
In: Optics Express, Vol. 27, No. 4, 18.02.2019, p. 4424-4434.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Anderson localization in synthetic photonic lattice with random coupling
AU - Pankov, Artem V.
AU - Vatnik, Ilya D.
AU - Churkin, Dmitry V.
AU - Derevyanko, Stanislav A.
PY - 2019/2/18
Y1 - 2019/2/18
N2 - 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. (C) 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement
AB - 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. (C) 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement
KW - DISORDER
UR - http://www.scopus.com/inward/record.url?scp=85062024634&partnerID=8YFLogxK
U2 - 10.1364/OE.27.004424
DO - 10.1364/OE.27.004424
M3 - Article
C2 - 30876061
AN - SCOPUS:85062024634
VL - 27
SP - 4424
EP - 4434
JO - Optics Express
JF - Optics Express
SN - 1094-4087
IS - 4
ER -
ID: 18626531