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Bose-Einstein condensates (BEC) have recently been the subject ofconsiderable study as possible analogue models of general relativity. Inparticular it was shown that the propagation of phase perturbations in a BECcan, under certain conditions, closely mimic the dynamics of scalar quantumfields in curved spacetimes. In two previous articles [gr-qc/0110036,gr-qc/0305061] we noted that a varying scattering length in the BEC correspondsto a varying speed of light in the ``effective metric''. Recent experimentshave indeed achieved a controlled tuning of the scattering length in Rubidium85. In this article we shall discuss the prospects for the use of thisparticular experimental effect to test some of the predictions of semiclassicalquantum gravity, for instance, particle production in an expanding universe. Westress that these effects are generally much larger than the Hawking radiationexpected from causal horizons, and so there are much better chances for theirdetection in the near future.Comment: 18 pages; uses revtex4. V2: Added brief discussion of "Bose-Nova"  phenomenon, and appropriate reference

Probing semiclassical analog gravity in Bose-Einstein condensates with widely tunable interactions