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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-
Αναγνωριστικόhttp://journals.aps.org/pra/abstract/10.1103/PhysRevA.89.023823-
Αναγνωριστικόhttps://doi.org/http://dx.doi.org/10.1103/PhysRevA.89.023823-
Γλώσσαen-
ΤίτλοςProbing the effect of interaction in Anderson localization using linear photonic latticesen
ΔημιουργόςLee Changhyoupen
ΔημιουργόςRai Amiten
ΔημιουργόςNoh Changsuken
ΔημιουργόςAggelakis Dimitriosen
ΔημιουργόςΑγγελακης Δημητριοςel
ΕκδότηςAmerican Physical Societyen
ΠερίληψηWe 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
ΤύποςPeer-Reviewed Journal Publicationen
ΤύποςΔημοσίευση σε Περιοδικό με Κριτέςel
Άδεια Χρήσηςhttp://creativecommons.org/licenses/by/4.0/en
Ημερομηνία2015-10-20-
Ημερομηνία Δημοσίευσης2014-
Θεματική ΚατηγορίαAnderson localizationen
Βιβλιογραφική ΑναφοράC. 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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