@article{12608, author = {E. Halperin and John Bohn}, title = {Hyperspherical approach to dipolar droplets beyond the mean-field limit}, 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 wave functions of excitations of self-bound dipolar droplets outside the mean-field limit.}, year = {2021}, journal = {Physical Review A}, volume = {104}, pages = {033324}, month = {2021-09}, publisher = {American Physical Society}, url = {https://link.aps.org/doi/10.1103/PhysRevA.104.033324}, doi = {10.1103/PhysRevA.104.033324}, }