Effect of incorporating three-body interaction in the low-density energy expansion of Bose-Einstein condensate of Rb-87 atoms trapped in a harmonic potential

摘要

it is shown that if one incorporates all terms related to three-body interaction, except the recombination term, in a dilute homogeneous Bose assembly of Rb-87 gas, the lower bound is not violated even when na(3) > 10(-3) (where n = vertical bar psi((r) over right arrow)vertical bar(2) is the number density and 'a' is the s-wave triplet spin scattering length), in contrast to the earlier result when only terms up to logarithm term in three-body interaction were taken into account. Making use of all the terms in Ginzburg, Pitaevskii and Gross (GPG) equation the effect of including terms beyond logarithmic have been computed. It turns out that there is substantial change in physical quantities like effective interaction potential energy per particle, three-body interaction term, hard-core interaction term contribution and condensate wave function, psi((r) over right arrow), also referred to as order parameter, in comparison with the corresponding quantities when only terms up to logarithmic are considered. (c) 2006 Elsevier B.V. All rights reserved.