Dilute Bose gases interacting via power-law potentials

Ryan M. Kalas, D. Blume
2008 Physical Review A. Atomic, Molecular, and Optical Physics  
Neutral atoms interact through a van der Waals potential which asymptotically falls off as r^-6. In ultracold gases, this interaction can be described to a good approximation by the atom-atom scattering length. However, corrections arise that depend on the characteristic length of the van der Waals potential. We parameterize these corrections by analyzing the energies of two- and few-atom systems under external harmonic confinement, obtained by numerically and analytically solving the
more » ... r equation. We generalize our results to particles interacting through a longer-ranged potential which asymptotically falls off as r^-4.
doi:10.1103/physreva.77.032703 fatcat:xbyfwllgvzgqjbpi2dwjfpu7ly