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Hyperspherical lowest-order constrained-variational approximation to resonant Bose-Einstein condensates

TitleHyperspherical lowest-order constrained-variational approximation to resonant Bose-Einstein condensates
Publication TypeJournal Article
Year of Publication2018
AuthorsBohn, JL, Sze, MWC, Sykes, AG, Blume, D
JournalPhysics Review A
Date Published2018-03

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 method, we are able to semiquantitatively 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 ≈ 2.5N1/3hω and two-body contact C2/N ≈ 16N1/6√mω/h for a Bose gas on resonance, where ω is the trap frequency.


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