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We point out that the velocity of propagation of sound wavepackets in aBose-Einstein condensate filling a three-dimensional cubic optical latticeundergoes a maximum with increasing lattice depth. For a realistic choice ofparameters, the maximum sound velocity in a lattice condensate can exceed thesound velocity in a homogeneous condensate with the same average density by30%. The maximum falls into the superfluid regime, and should be observableunder currently achievable laboratory conditions.

Bogoliubov speed of sound for a dilute Bose-Einstein condensate in a 3d optical lattice