Wave mixing of hybrid Bogoliubov modes in a Bose-Einstein condensate
McCann, J. F.
American Physical Society
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.
Gas , Excitations , Traps
McPeake, D. and McCann, J. F. (2003) 'Wave mixing of hybrid Bogoliubov modes in a Bose-Einstein condensate', Physical Review A, 68(5), 053610 (5pp). doi: 10.1103/PhysRevA.68.053610
© 2003, American Physical Society