posted on 2023-06-08, 00:50authored byDuncan H J O'Dell, Stefano Giovanazzi, Claudia Eberlein
We present exact results in the Thomas-Fermi regime for the statics and dynamics of a harmonically trapped Bose-Einstein condensate that has dipole-dipole interactions in addition to the usual s-wave contact interactions. Remarkably, despite the nonlocal and anisotropic nature of the dipolar interactions, the density profile in a general time-dependent harmonic trap is an inverted parabola. The evolution of the condensate radii is governed by local, ordinary differential equations, and as an example we calculate the monopole and quadrupole shape oscillation frequencies.
The paper uses the exact solution of the Thomas-Fermi equation for a BEC with dipole-dipole interactions to derive the exact condensate radii and the equations for their evolution in time and calculate experimentally important quantities. This work was carried out in collaboration with two postdocs.