Hyperspherical approach to dipolar Bose-Einstein condensates beyond the mean-field limit

• URL: http://arxiv.org/abs/2106.15736v1
• Date: Tue, 29 Jun 2021 21:44:54 GMT
• Title: Hyperspherical approach to dipolar Bose-Einstein condensates beyond the mean-field limit
• Authors: Eli J. Halperin and John L. Bohn
• Abstract summary: We apply a hyperspherical formulation to a trapped Bose-Einstein condensate with dipolar and contact interactions. We describe the energies and wavefunctions of excitations of self-bound dipolar droplets outside of the mean-field limit.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We apply a hyperspherical formulation to a trapped Bose-Einstein condensate with dipolar and contact interactions. Central to this approach is a general correspondence between K-harmonic hyperspherical methods and a suitable Gaussian ansatz to the Gross-Pitaevskii equation, regardless of the form of the interparticle potential. This correspondence allows one to obtain hyperspherical potential energies for a wide variety of physical problems. In the case of the dipolar Bose-Einstein condensate, this motivates the inclusion of a beyond-mean field term within the hyperspherical picture, which allows us to describe the energies and wavefunctions of excitations of self-bound dipolar droplets outside of the mean-field limit.

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