Stability of standing matter waves in a trap
We discuss excited Bose-condensed states and find the criterion of dynamical stability of a kinkwise state, i.e., a standing matter wave with one nodal plane perpendicular to the axis of a cylindrical trap. The dynamical stability requires a strong radial confinement corresponding to the radial frequency larger than the mean-field interparticle interaction. We address the question of thermodynamic instability related to the presence of excitations with negative energy.
|Journal||Phys. Rev. A|
Muryshev, A. E, van Linden van den Heuvell, H. B, & Shlyapnikov, G. V. (1999). Stability of standing matter waves in a trap. Phys. Rev. A, 60, 2665–2668.