Localization of Bose-Einstein condensates in optical lattices

• Autorzy: Roberto Franzosi , Salvatore Giampaolo , Fabrizio Illuminati , Roberto Livi , Gian-Luca Oppo , Antonio Politi
• Języki publikacji: EN

Abstrakty

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.

Słowa kluczowe

EN

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

• Czasopismo: Open Physics
• Rocznik: 2011
• Tom: 9
• Numer: 5
• Strony: 1248-1254

Daty

wydano

2011-10-01

online

2011-09-15

Twórcy

autor

Roberto Franzosi,

autor

Salvatore Giampaolo

autor

Fabrizio Illuminati

autor

Roberto Livi

• Dipartimento di Fisica, Università di Firenze and INFN, Sez. di Firenze, Via G. Sansone 1, Sesto Fiorentino, I-50019, Italy

autor

Gian-Luca Oppo

• Department of Physics, University of Strathclyde, 107 Rottenrow, Glasgow, G4 ONG, Scotland, UK

autor

Antonio Politi

• Istituto dei Sistemi Complessi, Consiglio Nazionale delle Ricerche, Via Madonna del Piano 10, Sesto Fiorentino, I-50019, Italy

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Identyfikatory

DOI

10.2478/s11534-011-0035-2