Hyperspherical-LOCV Approximation to Resonant BEC
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چکیده
We study the ground state properties of a system of N harmonically trapped bosons of mass m interacting with two-body contact interactions, from small to large scattering lengths. This is accomplished in a hyperspherical coordinate system that is flexible enough to describe both the overall scale of the gas and two-body correlations. By adapting the lowest-order constrained variational (LOCV) method, we are able to semi-quantitatively attain Bose-Einstein condensate ground state energies even for gases with infinite scattering length. In the large particle number limit, our method provides analytical estimates for the energy per particle E0/N ≈ 2.5Nh̄ω and two-body contact C2/N ≈ 16N √
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تاریخ انتشار 2018