Multiple-time-scale analysis for pinned breathers in Bose-Hubbard chains

Chirondojan, Liviu F. and Oppo, Gian-Luca (2019) Multiple-time-scale analysis for pinned breathers in Bose-Hubbard chains. Physical Review E, 99 (2). 022212. ISSN 2470-0053 (https://doi.org/10.1103/PhysRevE.99.022212)

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Abstract

Localized and pinned discrete breathers in Bose-Einstein condensates in optical lattices or in arrays of optical waveguides oscillate with frequencies which are much higher than those present in the spectrum of the background. Hence, the interaction between localized breathers and their surroundings is extremely weak leading to a multiple-time-scale perturbation expansion. We identify the leading order in the asymptotic expansion of the breather amplitude which does not average to zero after one full oscillation. The reduced model predicts a lower bound of the breather drift times and explains the topological differences between breathers in dimers, trimers, and in spatially extended one-dimensional lattices even in the presence of transport from boundary heat-baths. These analytical boundaries hold true for lattices of any length, due to the highly localized nature of breathers.

  • Item type:Article
    ID code:67105
    Dates:
    Date
    Event
    19 February 2019
    Published
    4 February 2019
    Accepted
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:27 Feb 2019 12:46
    Last modified:09 Apr 2024 00:33
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/67105
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