%0 Figure %A Qi, Wei %A Liang, Zhaoxin %A Zhang, Zhidong %D 2013 %T Oscillation frequencies as a function of the parameter P for negative scattering length with each G = −0.03, 0, 0.03 with λz = 117/163 %U https://iop.figshare.com/articles/figure/_Oscillation_frequencies_as_a_function_of_the_parameter_em_P_em_for_negative_scattering_length_with_/1012598 %R 10.6084/m9.figshare.1012598.v1 %2 https://iop.figshare.com/ndownloader/files/1480420 %K oscillation modes %K length %K interaction %K parameter P %K bec %K stability conditions %K excitation %K results show %K correction %K stability condition %K Atomic Physics %K Molecular Physics %X

Figure 12. Oscillation frequencies as a function of the parameter P for negative scattering length with each G = −0.03, 0, 0.03 with λz = 117/163. The labels on the curves refer to different oscillation modes (see text).

Abstract

We take into account the higher-order corrections in two-body scattering interactions within a mean-field description, and investigate the stability conditions and collective excitations of a harmonically trapped Bose–Einstein condensate (BEC). Our results show that the presence of higher-order corrections causes drastic changes to the stability condition of a BEC. In particular, we predict that with the help of the higher-order interaction, a BEC can now collapse even for positive scattering lengths; whereas, a usually unstable BEC with a negative scattering length can be stabilized by positive higher-order effects. The low-lying collective excitations are significantly modified as well, compared to those without the higher-order corrections. The conditions for a possible experimental scenario are also proposed.

%I IOP Publishing