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Number of results

Journal

2011 | 9 | 5 | 1248-1254

Article title

Localization of Bose-Einstein condensates in optical lattices

Content

Title variants

Languages of publication

EN

Abstracts

EN
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.

Publisher

Journal

Year

Volume

9

Issue

5

Pages

1248-1254

Physical description

Dates

published
1 - 10 - 2011
online
15 - 9 - 2011

Contributors

author
  • Dipartimento di Fisica, Università di Firenze and INFN, Sez. di Firenze, Via G. Sansone 1, Sesto Fiorentino, I-50019, Italy
  • Department of Physics, University of Strathclyde, 107 Rottenrow, Glasgow, G4 ONG, Scotland, UK
  • Istituto dei Sistemi Complessi, Consiglio Nazionale delle Ricerche, Via Madonna del Piano 10, Sesto Fiorentino, I-50019, Italy

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Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.-psjd-doi-10_2478_s11534-011-0035-2
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