Vortex dipole precession in a Fermi superfluid with Rashba spin-orbit coupling
Abstract
We present a closed-form expression for the time dynamics of a balanced Fermi superfluid with s-wave pairing and Rashba spin-orbit (SO) coupling. Solving the associated self-consistency conditions for an initial number density given by a Gaussian and an initial gap containing a vortex dipole, we show that Rashba SO coupling results in precession of the vortex dipole. The integrated self-consistent gap decays as a function of time, characterising a "transient Fermi superfluid". Our analytic solution forms a starting point for studies of vortex dynamics -- in particular braiding of Majorana fermions -- in Fermi superfluids in the presence of spin population imbalance and two-dimensional SO coupling, which are both required to realize a topological atomic Fermi gas in experiments.
Cite
@article{arxiv.1711.04970,
title = {Vortex dipole precession in a Fermi superfluid with Rashba spin-orbit coupling},
author = {L. A. Toikka},
journal= {arXiv preprint arXiv:1711.04970},
year = {2017}
}