Oscillating Superfluidity of Bosons in Optical Lattices

Details Oscillating Superfluidity of Bosons in Optical Lattices Oscillating Superfluidity of Bosons in Optical Lattices

2002-06-10

arxiv.org/abs/cond-mat/0206157v3

Phys. Rev. Lett. 89, 250404 (2002)

Physics

Condensed Matter

Soft Condensed Matter

4 pages 1 eps figures; Final version as appears in PRL. Added discussion on spontaneous generation of vortices

Scientific paper

10.1103/PhysRevLett.89.250404

We follow up on a recent suggestion by C. Orzel et. al., Science, 291, 2386 (2001), whereby bosons in an optical lattice would be subjected to a sudden parameter change from the Mott to the superfluid phase. We analyze the Bose Hubbard model with a modified coherent states path integral which can escribe - both - phases. The saddle point theory yields collective oscillations of the uniform superfluid order parameter. These would be seen in time resolved interference patterns made by the released gas. We calculate the collective oscillation's damping rate by phason pair emission. In two dimensions the overdamped region largely overlaps with the quantum critical region. Measurements of critical dynamics on the Mott side are proposed.

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