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Instabilities of vortices in a binary mixture of trapped Bose-Einstein condensates: Role of collective excitations with positive and negative energies

Skryabin, Dmitry V. (2000) Instabilities of vortices in a binary mixture of trapped Bose-Einstein condensates: Role of collective excitations with positive and negative energies. Physical Review A, 63 (1). 013602-1. ISSN 1050-2947

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    Abstract

    Correspondence between frequency and energy spectra and biorthogonality conditions for the excitations of Bose-Einstein condensates described by the Gross-Pitaevskii model have been derived self-consistently using general properties arising from the Hamiltonian structure of the model. It has been demonstrated that frequency resonances of the excitations with positive and negative energies can lead to their mutual annihilation and appearance of the collective modes with complex frequencies and zero energies. Conditions for the avoided crossing of energy levels have also been discussed. General theory has been verified both numerically and analytically in the weak interaction limit considering an example of vortices in a binary mixture of condensates. Growth of excitations with complex frequencies leads to spiraling of the unit and double vortices out of the condensate center to its periphery and to splitting of the double- and higher order vortices to the unit-order vortices.

    Item type: Article
    ID code: 6463
    Keywords: energy, Bose-Einstein condensates, excitations, vortices, positive energies, negative energies, Optics. Light, Physics, Atomic and Molecular Physics, and Optics
    Subjects: Science > Physics > Optics. Light
    Science > Physics
    Department: Faculty of Science > Physics
    Related URLs:
    Depositing user: Miss Darcy Spiller
    Date Deposited: 07 Jul 2008
    Last modified: 05 Sep 2014 13:11
    URI: http://strathprints.strath.ac.uk/id/eprint/6463

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