Using the 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 the 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, nonlinearity, and 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.Using the 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 the 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, nonlinearity, and 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.

arXiv:cond-mat/9807396Physical Review LettersNov 23, 1998100 citations

Generalized quantum hydrodynamics of a trapped dilute Bose gas

Anna Minguzzi, Maria Luisa Chiofalo, M. P. Tosi

Physics Letters ADec 1, 199716 citations

N

, is compared with other corrections due to finite size, nonlinearity, and 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.