TY - JOUR
AU - E. Halperin
AU - John Bohn
AB - 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.
BT - Physical Review A
DA - 2021-09
DO - 10.1103/PhysRevA.104.033324
N2 - 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.
PB - American Physical Society
PY - 2021
EP - 033324
T2 - Physical Review A
TI - Hyperspherical approach to dipolar droplets beyond the mean-field limit
UR - https://link.aps.org/doi/10.1103/PhysRevA.104.033324
VL - 104
ER -