Exact hydrodynamics of a trapped dipolar Bose-Einstein condensate.
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.
O'Dell
Duncan H J
DH
Department of Physics and Astronomy, University of Sussex, Falmer, Brighton BN1 9QH, England.
Giovanazzi
Stefano
S
Eberlein
Claudia
C