Stability, effective dimensions, and interactions for bosons in deformed fields

Details Stability, effective dimensions, and interactions for bosons in deformed fields Stability, effective dimensions, and interactions for bosons in deformed fields

2003-10-20

arxiv.org/abs/cond-mat/0310462v3

Phys. Rev. A 70, 013610 (2004)

Physics

Condensed Matter

Soft Condensed Matter

7 pages, 5 figures, submitted to Phys. Rev. A. In version 2 figures 2 and 5 are added along with more discussions and explanat

Scientific paper

10.1103/PhysRevA.70.013610

The hyperspherical adiabatic method is used to derive stability criteria for Bose-Einstein condensates in deformed external fields. An analytical approximation is obtained. For constant volume the highest stability is found for spherical traps. Analytical approximations to the stability criterion with and without zero point motion are derived. Extreme geometries of the field effectively confine the system to dimensions lower than three. As a function of deformation we compute the dimension to vary continuously between one and three. We derive a dimension-dependent effective radial Hamiltonian and investigate one choice of an effective interaction in the deformed case.

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