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Article
Beating dark–dark solitons in Bose–Einstein condensates
Journal of Physics B: Atomic, Molecular and Optical Physics (2012)
  • D. Yan
  • J. J. Chang
  • C. Hamner
  • M. Hoefer
  • Panos Kevrekidis, University of Massachusetts - Amherst
  • P. Engels
  • V. Achilleos
  • D. J. Frantzeskakis
  • J. Cuevas
Abstract
Motivated by recent experimental results, we study beating dark–dark (DD) solitons as a prototypical coherent structure that emerges in two-component Bose–Einstein condensates. We showcase their connection to dark–bright solitons via SO(2) rotation, and infer from it both their intrinsic beating frequency and their frequency of oscillation inside a parabolic trap. We identify them as exact periodic orbits in the Manakov limit of equal inter- and intra-species nonlinearity strengths with and without the trap and showcase the persistence of such states upon weak deviations from this limit. We also consider large deviations from the Manakov limit illustrating that this breathing state may be broken apart into dark–anti-dark soliton states. Finally, we consider the dynamics and interactions of two beating DD solitons in the absence and in the presence of the trap, inferring their typically repulsive interaction.
Disciplines
Publication Date
May 18, 2012
Publisher Statement
DOI: 10.1088/0953-4075/45/11/115301
Citation Information
D. Yan, J. J. Chang, C. Hamner, M. Hoefer, et al.. "Beating dark–dark solitons in Bose–Einstein condensates" Journal of Physics B: Atomic, Molecular and Optical Physics Vol. 45 Iss. 11 (2012)
Available at: http://works.bepress.com/panos_kevrekidis/214/