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

Dermot McPeake·J F McCann
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Abstract

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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Dermot McPeake, J F McCann. 2003-03-04. Wave mixing of hybrid Bogoliubov modes in a Bose-Einstein condensate. https://doi.org/10.1103/physreva.68.053610

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