Quantum fluctuations and collective oscillations of a Bose-Einstein condensate in a 2D optical lattice

Details Quantum fluctuations and collective oscillations of a Bose-Einstein condensate in a 2D optical lattice Quantum fluctuations and collective oscillations of a Bose-Einstein condensate in a 2D optical lattice

2006-07-14

arxiv.org/abs/cond-mat/0607371v1

Physics

Condensed Matter

Other Condensed Matter

5 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.97.190408

We use Bogoliubov theory to calculate the beyond mean field correction to the equation of state of a weakly interacting Bose gas in the presence of a tight 2D optical lattice. We show that the lattice induces a characteristic 3D to 1D crossover in the behaviour of quantum fluctuations. Using the hydrodynamic theory of superfluids, we calculate the corresponding shift of the collective frequencies of a harmonically trapped gas. We find that this correction can be of the order of a few percent and hence easily measurable in current experiments. The behavior of the quantum depletion of the condensate is also discussed.

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