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

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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4 pages, 4 figures

Scientific paper

10.1103/PhysRevA.68.053610

Mode-mixing of coherent excitations of a trapped Bose-Einstein condensate is modelled using the Bogoliubov approximation. Hybridization of the modes of the breather ($l=0$) and surface ($l=4$) states leads to the formation of a Bogoliubov dark state. Calculations are presented for second-harmonic generation between the two lowest-lying even-parity $m=0$ modes in an oblate spheroidal trap. Two hybrid modes are strongly excited near second-harmonic resonance, and the coupling strength, and hence conversion rate, to the breather mode is half that given by an equivalent hydrodynamic estimate.

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