10.6084/m9.figshare.1012595.v1 Wei Qi Wei Qi Zhaoxin Liang Zhaoxin Liang Zhidong Zhang Zhidong Zhang |<em>P</em>|<sub>max</sub> as a function of λ<sub><em>z</em></sub> for the case of negative scattering length and cylindrical symmetry for <em>G</em> = −0.03 and <em>G</em> = 0 IOP Publishing 2013 bec correction results show excitation stability conditions stability condition 0. Abstract interaction length Atomic Physics Molecular Physics 2013-08-19 00:00:00 Figure https://iop.figshare.com/articles/figure/_em_P_em_sub_max_sub_as_a_function_of_sub_em_z_em_sub_for_the_case_of_negative_scattering_length_and/1012595 <p><strong>Figure 9.</strong> |<em>P</em>|<sub>max</sub> as a function of λ<sub><em>z</em></sub> for the case of negative scattering length and cylindrical symmetry for <em>G</em> = −0.03 and <em>G</em> = 0.</p> <p><strong>Abstract</strong></p> <p>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.</p>