Instabilities are predicted for a sufficiently long hollow photonic opticalfiber, or "cavity", containing a one dimensional Bose-gas in the presence of aclassical, far red-detuned, confined weak electromagnetic mode. We examine botha single beam with Bose gas (a type of Brillouin instability) and the case of astanding wave, or optical lattice. The instabilities of these driven systemshave pronounced spatial structure, of combined modulational instabilities inthe electromagnetic and Bose density fields. Near the critical wave vectors forthe instability the coupled modes of the BEC and light can be interpreted as"phonons" of the optical lattice. We conjecture these spatially-structuredinstabilities for the optical lattice, which we predict at weak fields, developinto the source of spatially homogeneous heating predicted for strong fields.
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