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Probing the effect of interaction in Anderson localization using linear photonic lattices

Lee Changhyoup, Rai Amit, Noh Changsuk, Aggelakis Dimitrios

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URIhttp://purl.tuc.gr/dl/dias/1F59523B-079E-4474-855E-9A65CB53C30C-
Identifierhttp://journals.aps.org/pra/abstract/10.1103/PhysRevA.89.023823-
Identifierhttps://doi.org/http://dx.doi.org/10.1103/PhysRevA.89.023823-
Languageen-
TitleProbing the effect of interaction in Anderson localization using linear photonic latticesen
CreatorLee Changhyoupen
CreatorRai Amiten
CreatorNoh Changsuken
CreatorAggelakis Dimitriosen
CreatorΑγγελακης Δημητριοςel
PublisherAmerican Physical Societyen
Content SummaryWe show how two-dimensional waveguide arrays can be used to probe the effect of on-site interaction on Anderson localization of two interacting bosons in one dimension. It is shown that classical light and linear elements are sufficient to experimentally probe the interplay between interaction and disorder in this setting. For experimental relevance, we evaluate the participation ratio and the intensity correlation function as measures of localization for two types of disorder (diagonal and off-diagonal), for two types of interaction (repulsive and attractive), and for a variety of initial input states. Employing a commonly used set of initial states, we show that the effect of interaction on Anderson localization is strongly dependent on the type of disorder and initial conditions, but is independent of whether the interaction is repulsive or attractive. We then analyze a certain type of entangled input state where the type of interaction is relevant and discuss how it can be naturally implemented in waveguide arrays. We conclude by laying out the details of the two-dimensional photonic lattice implementation including the required parameter regime.en
Type of ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2015-10-20-
Date of Publication2014-
SubjectAnderson localizationen
Bibliographic CitationC. Lee, A. Rai, C. Noh and D. G. Angelakis, "Probing the effect of interaction in Anderson localization using linear photonic lattices'', Phys. Rev. A, vol. 89, no. 2, Feb. 2014. doi: http://dx.doi.org/10.1103/PhysRevA.89.023823en

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