Localization of Bose-Einstein condensates in optical lattices

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Franzosi, Roberto and Giampaolo, Salvatore and Illuminati, Fabrizio and Livi, Roberto and Oppo, Gian-Luca and Politi, Antonio (2011) Localization of Bose-Einstein condensates in optical lattices. Central European Journal of Physics, 9 (5). pp. 1248-1254. ISSN 1895-1082 (https://doi.org/10.2478/s11534-011-0035-2)

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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.

ORCID iDs

Franzosi, Roberto, Giampaolo, Salvatore, Illuminati, Fabrizio, Livi, Roberto, Oppo, Gian-Luca ORCID logoORCID: https://orcid.org/0000-0002-5376-4309 and Politi, Antonio;
  • Item type:Article
    ID code:36993
    Dates:
    Date
    Event
    27 March 2011
    Published
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:24 Jan 2012 09:47
    Last modified:11 Nov 2024 10:02
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/36993
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