Stability region for λ<sub><em>z</em></sub> = 0 and <em>P</em> = −0.4 with different values of <em>G</em> Wei Qi Zhaoxin Liang Zhidong Zhang 10.6084/m9.figshare.1012597.v1 https://iop.figshare.com/articles/figure/_Stability_region_for_sub_em_z_em_sub_0_and_em_P_em_0_4_with_different_values_of_em_G_em_/1012597 <p><strong>Figure 11.</strong> Stability region for λ<sub><em>z</em></sub> = 0 and <em>P</em> = −0.4 with different values of <em>G</em>.</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> 2013-08-19 00:00:00 bec correction results show excitation stability conditions stability condition interaction length Atomic Physics Molecular Physics