Wave mixing of hybrid Bogoliubov modes in a Bose-Einstein condensate

D. McPeake, Jim McCann

Research output: Contribution to journalArticle

3 Citations (Scopus)


Mode-mixing of coherent excitations of a trapped Bose-Einstein condensate is modeled using the Bogoliubov approximation. Calculations are presented for second-harmonic generation between the two lowest-lying even-parity m=0 modes in an oblate spheroidal trap. Hybridization of the modes of the breather (l=0) and surface (l=4) states leads to the formation of a Bogoliubov dark state near phase-matching resonance so that a single mode is coherently populated. Efficient harmonic generation requires a strong coupling rate, sharply-defined and well-separated frequency spectrum, and good phase matching. We find that in all three respects the quantal results are significantly different from hydrodynamic predictions. Typically the second-harmonic conversion rate is half that given by an equivalent hydrodynamic estimate.
Original languageEnglish
Pages (from-to)536101-536105
Number of pages5
JournalPhysical Review A
Issue number5
Publication statusPublished - Nov 2003

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Atomic and Molecular Physics, and Optics

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