Localization of Bose-Einstein condensates in optical lattices

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

Research output: Contribution to journalArticle

1 Citation (Scopus)

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.
LanguageEnglish
Pages1248-1254
Number of pages7
JournalCentral European Journal of Physics
Volume9
Issue number5
DOIs
Publication statusPublished - 27 Mar 2011

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Bose-Einstein condensates
nonlinear equations
condensates
energy spectra
bosons
nonlinearity

Keywords

  • breathers
  • Bose-Einstein condensates
  • localized states
  • optical lattices

Cite this

Franzosi, Roberto ; Giampaolo, Salvatore ; Illuminati, Fabrizio ; Livi, Roberto ; Oppo, Gian-Luca ; Politi, Antonio. / Localization of Bose-Einstein condensates in optical lattices. In: Central European Journal of Physics. 2011 ; Vol. 9, No. 5. pp. 1248-1254.
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Franzosi, R, Giampaolo, S, Illuminati, F, Livi, R, Oppo, G-L & Politi, A 2011, 'Localization of Bose-Einstein condensates in optical lattices' Central European Journal of Physics, vol. 9, no. 5, pp. 1248-1254. https://doi.org/10.2478/s11534-011-0035-2

Localization of Bose-Einstein condensates in optical lattices. / Franzosi, Roberto; Giampaolo, Salvatore; Illuminati, Fabrizio; Livi, Roberto; Oppo, Gian-Luca; Politi, Antonio.

In: Central European Journal of Physics, Vol. 9, No. 5, 27.03.2011, p. 1248-1254.

Research output: Contribution to journalArticle

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