Localization of Bose-Einstein condensates in optical lattices

Year: 2011

Authors: Franzosi R., Giampaolo S. M., Illuminati F., Livi R., Oppo G. L., Politi A.

Autors Affiliation: C.N.I.S.M. UdR di Firenze, Dipartimento di Fisica, Università degli Studi di Firenze, Via Sansone 1, I-50019, Sesto Fiorentino, Italy; I.P.S.I.A. C. Cennini, Via dei Mille 12/a, I-53034, Colle di Val d’Elsa (SI), Italy; Dipartimento di Matematica e Informatica, Università degli Studi di Salerno, Via Ponte don Melillo, I-84084, Fisciano (SA), Italy; INFN Sez. di Napoli, Gruppo collegato di Salerno, Via Ponte don Melillo, I-84084, Fisciano (SA), Italy; 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

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 Schrodinger equation. Several papers, addressing the study of the discrete nonlinear Schrodinger 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.

Journal/Review: CENTRAL EUROPEAN JOURNAL OF PHYSICS

Volume: 9 (5)      Pages from: 1248  to: 1254

KeyWords: Bose-Einstein condensates; Bose-Hubbard; breathers; localized states; optical lattices
DOI: 10.2478/s11534-011-0035-2

Citations: 1
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