1305.3995 (Masaya Kunimi et al.)

Precursor phenomena of nucleations of quantized vortices in the presence
of a uniformly moving obstacle in Bose-Einstein condensates    [PDF]

Masaya Kunimi, Yusuke Kato

We investigate the excitation and the fluctuation of Bose-Einstein condensates in a two-dimensional torus with a uniformly moving Gaussian potential by solving Gross-Pitaevskii equation and the Bogoliubov equation. A scaling law of the energy gap in the finite system is found. This scaling law suggests that dynamical critical phenomena occur in this system. Near the critical velocity, we find that low-energy local density fluctuations are enhanced. These can be regarded as precursor phenomena of the vortex nucleation.

View original: http://arxiv.org/abs/1305.3995