Trapped Bose-condensate in gravity field

Abstract

The 1D and 2D Bose-condensation of trapped atoms in a gravitational field are considered. The deformation of the finite parabolic potential in this field is modeling via the combination of two rectangular 1D and 2D traps, for which the cut-off and the re-definition of spectrum are taken into account. A Bose-condensation T_c shift by the gravity is calculated. A sign and a magnitude of it in a deformed trap depends on the order of including the gravitational field. The special choice of this order may describe three consistent Bose-condensations with different temperatures. These transitions may be associated with a transportation of a trap on the cycle (I) Earth-(II) Space-(III) Earth.