  Bose-Einstein condensates (BEC) have recently been the subject of
considerable study as possible analogue models of general relativity. In
particular it was shown that the propagation of phase perturbations in a BEC
can, under certain conditions, closely mimic the dynamics of scalar quantum
fields in curved spacetimes. In two previous articles [gr-qc/0110036,
gr-qc/0305061] we noted that a varying scattering length in the BEC corresponds
to a varying speed of light in the ``effective metric''. Recent experiments
have indeed achieved a controlled tuning of the scattering length in Rubidium
85. In this article we shall discuss the prospects for the use of this
particular experimental effect to test some of the predictions of semiclassical
quantum gravity, for instance, particle production in an expanding universe. We
stress that these effects are generally much larger than the Hawking radiation
expected from causal horizons, and so there are much better chances for their
detection in the near future.
