Vortex Lattice Formation in Dipolar Bose-Einstein Condensates via Rotation of the Polarization
Abstract
The behaviour of a harmonically trapped dipolar Bose-Einstein condensate with its dipole moments rotating at angular frequencies lower than the transverse harmonic trapping frequency is explored in the co-rotating frame. We obtain semi-analytical solutions for the stationary states in the Thomas-Fermi limit of the corresponding dipolar Gross-Pitaevskii equation and utilise linear stability analysis to elucidate a phase diagram for the dynamical stability of these stationary solutions with respect to collective modes. These results are verified via direct numerical simulations of the dipolar Gross-Pitaevskii equation, which demonstrate that dynamical instabilities of the co-rotating stationary solutions lead to the seeding of vortices that eventually relax into a triangular lattice configuration. Our results illustrate that rotation of the dipole polarization represents a new route to vortex formation in dipolar Bose-Einstein condensates.
Keywords
Cite
@article{arxiv.1906.08664,
title = {Vortex Lattice Formation in Dipolar Bose-Einstein Condensates via Rotation of the Polarization},
author = {Srivatsa B. Prasad and Thomas Bland and Brendan C. Mulkerin and Nick G. Parker and Andrew M. Martin},
journal= {arXiv preprint arXiv:1906.08664},
year = {2019}
}
Comments
11 pages, 5 figures; updated with responses to referee reports and minor typographical corrections