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Equilibrium widths vz (a) and v (b) come from equations (15) and (15) as a function of |P| for G = 0.03, 0 and −0.03 respectively in the case of cylindrical symmetry of λz = 2

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posted on 19.08.2013 by Wei Qi, Zhaoxin Liang, Zhidong Zhang

Figure 10. Equilibrium widths vz (a) and v (b) come from equations (15) and (15) as a function of |P| for G = 0.03, 0 and −0.03 respectively in the case of cylindrical symmetry of λz = 2.

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.

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