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We analyze an atomic Bose-Einstein condensate trapped in a high-Q opticalcavity driven by a feeble optical field, a situation formally analogous to thecentral paradigm of cavity optomechanics [Brennecke et al., Science, 322, 235(2008)]. We account for two-body interactions via a two-fluid model thatretains the intuitive appeal of the optomechanical two-mode description. TheBogoliubov excitation spectrum of this system comprises a gapped upper branchand a lower branch that can include an unstable excitation mode.

Two-fluid model of a Bose-Einstein condensate in the cavity optomechanical regime