Condition for collapse as a function of the initial width <em>v</em>(0) and <em>P</em> values for <em>G</em> = 0 (the bigger strip shaded area) and <em>G</em> = −0.03 (grey shaded area) Wei Qi Zhaoxin Liang Zhidong Zhang 10.6084/m9.figshare.1012591.v1 https://iop.figshare.com/articles/figure/_Condition_for_collapse_as_a_function_of_the_initial_width_em_v_em_0_and_em_P_em_values_for_em_G_em_/1012591 <p><strong>Figure 5.</strong> Condition for collapse as a function of the initial width <em>v</em>(0) and <em>P</em> values for <em>G</em> = 0 (the bigger strip shaded area) and <em>G</em> = −0.03 (grey shaded area). The dotted and dashed lines correspond to the equilibrium point for each <em>P</em> in the cases of <em>G</em> = 0 and <em>G</em> = −0.03 respectively.</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 interaction stability condition stability conditions length P values excitation results show correction equilibrium point Atomic Physics Molecular Physics