TY - DATA T1 - Condition for collapse as a function of the initial width v(0) and P values for G = 0 (the bigger strip shaded area) and G = −0.03 (grey shaded area) PY - 2013/08/19 AU - Wei Qi AU - Zhaoxin Liang AU - Zhidong Zhang UR - 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 DO - 10.6084/m9.figshare.1012591.v1 L4 - https://ndownloader.figshare.com/files/1480413 KW - bec KW - interaction KW - stability condition KW - stability conditions KW - length KW - P values KW - excitation KW - results show KW - correction KW - equilibrium point KW - Atomic Physics KW - Molecular Physics N2 - Figure 5. Condition for collapse as a function of the initial width v(0) and P values for G = 0 (the bigger strip shaded area) and G = −0.03 (grey shaded area). The dotted and dashed lines correspond to the equilibrium point for each P in the cases of G = 0 and G = −0.03 respectively. 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. ER -