Localization of Bose-Einstein condensates in optical lattices View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2011-10

AUTHORS

Roberto Franzosi, Salvatore M. Giampaolo, Fabrizio Illuminati, Roberto Livi, Gian-Luca Oppo, Antonio Politi

ABSTRACT

The dynamics of repulsive bosons condensed in an optical lattice is effectively described by the Bose-Hubbard model. The classical limit of this model, reproduces the dynamics of Bose-Einstein condensates, in a periodic potential, and in the superfluid regime. Such dynamics is governed by a discrete nonlinear Schrödinger equation. Several papers, addressing the study of the discrete nonlinear Schrödinger dynamics, have predicted the spontaneous generation of (classical) breathers in coupled condensates. In the present contribute, we shall focus on localized solutions (quantum breathers) of the full Bose-Hubbard model. We will show that solutions exponentially localized in space and periodic in time exist also in absence of randomness. Thus, this kind of states, reproduce a novel quantum localization phenomenon due to the interplay between bounded energy spectrum and non-linearity. More... »

PAGES

1248

Identifiers

URI

http://scigraph.springernature.com/pub.10.2478/s11534-011-0035-2

DOI

http://dx.doi.org/10.2478/s11534-011-0035-2

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