Discrete breathers in Bose–Einstein condensates

Franzosi, Roberto and Livi, Roberto and Oppo, Gian-Luca and Politi, Antonio (2011) Discrete breathers in Bose–Einstein condensates. Nonlinearity, 24 (12). R89-R122. ISSN 0951-7715 (https://doi.org/10.1088/0951-7715/24/12/R01)

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Abstract

Discrete breathers, originally introduced in the context of biopolymers and coupled nonlinear oscillators, are also localized modes of excitation of Bose– Einstein condensates (BEC) in periodic potentials such as those generated by counter-propagating laser beams in an optical lattice. Static and dynamical properties of breather states are analysed in the discrete nonlinear Schrödinger equation that is derived in the limit of deep potential wells, tight-binding and the superfluid regime of the condensate. Static and mobile breathers can be formed by progressive re-shaping of initial Gaussian wave-packets or by transporting atomic density towards dissipative boundaries of the lattice. Static breathers generated via boundary dissipations are determined via a transfer matrix approach and discussed in the two analytic limits of highly localized and very broad profiles. Mobile breathers that move across the lattice are well approximated by modified analytical expressions derived from integrable models with two independent parameters: the core-phase gradient and the peak amplitude. Finally, possible experimental realizations of discrete breathers in BEC in optical lattices are discussed in the presence of residual harmonic trapping and in interferometry configurations suitable to investigate discrete breathers’ interactions.

ORCID iDs

Franzosi, Roberto, Livi, Roberto, Oppo, Gian-Luca ORCID logoORCID: https://orcid.org/0000-0002-5376-4309 and Politi, Antonio;
  • Item type:Article
    ID code:36994
    Dates:
    Date
    Event
    28 October 2011
    Published
    Notes:Excellent paper
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:24 Jan 2012 09:49
    Last modified:11 Nov 2024 10:02
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/36994
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