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Open Physics

formerly Central European Journal of Physics

Editor-in-Chief: Feng, Jonathan

Managing Editor: Lesna-Szreter, Paulina

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IMPACT FACTOR 2016 (Open Physics): 0.745
IMPACT FACTOR 2016 (Central European Journal of Physics): 0.765

CiteScore 2016: 0.82

SCImago Journal Rank (SJR) 2015: 0.458
Source Normalized Impact per Paper (SNIP) 2015: 1.142

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2391-5471
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Volume 9, Issue 5

Issues

Localization of Bose-Einstein condensates in optical lattices

Roberto Franzosi
  • 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
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/ Salvatore Giampaolo
  • 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
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/ Fabrizio Illuminati
  • 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
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/ Roberto Livi
  • Dipartimento di Fisica, Università di Firenze and INFN, Sez. di Firenze, Via G. Sansone 1, Sesto Fiorentino, I-50019, Italy
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/ Gian-Luca Oppo / Antonio Politi
  • Istituto dei Sistemi Complessi, Consiglio Nazionale delle Ricerche, Via Madonna del Piano 10, Sesto Fiorentino, I-50019, Italy
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Published Online: 2011-09-15 | DOI: https://doi.org/10.2478/s11534-011-0035-2

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.

Keywords: breathers; Bose-Einstein condensates; localized states; optical lattices

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About the article

Published Online: 2011-09-15

Published in Print: 2011-10-01


Citation Information: Open Physics, Volume 9, Issue 5, Pages 1248–1254, ISSN (Online) 2391-5471, DOI: https://doi.org/10.2478/s11534-011-0035-2.

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