Elementary excitations in trapped Bose gases beyond mean field approximation

Details Elementary excitations in trapped Bose gases beyond mean field approximation Elementary excitations in trapped Bose gases beyond mean field approximation

1998-07-30

arxiv.org/abs/cond-mat/9807396v1

Physics

Condensed Matter

4 pages, 1 Postscript figure

Scientific paper

10.1103/PhysRevLett.81.4541

Using hydrodynamic theory of superfluids and the Lee-Huang-Yang equation of state for interacting Bose gases we derive the first correction to the collective frequencies of a trapped gas, due to effects beyond mean field approximation. The corresponding frequency shift, which is calculated at zero temperature and for large N, is compared with other corrections due to finite size, non-linearity and finite temperature. We show that for reasonable choices of the relevant parameters of the system, the non-mean field correction is the leading contribution and amounts to about 1%. The role of the deformation of the trap is also discussed.

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