Exact solutions and stability of rotating dipolar Bose-Einstein condensates in the Thomas-Fermi limit

TL;DR

This paper provides an analytical study of rotating dipolar Bose-Einstein condensates in the Thomas-Fermi limit, deriving solutions, analyzing stability, and exploring vortex lattice formation.

Contribution

It offers the first theoretical analysis of stability regimes and vortex formation mechanisms in rotating dipolar BECs using hydrodynamic equations.

Findings

Mapped stability and instability regimes for rotating dipolar BECs

Identified conditions conducive to vortex lattice formation

Proposed new methods to induce vortex lattices in dipolar condensates

Abstract

We present a theoretical analysis of dilute gas Bose-Einstein condensates with dipolar atomic interactions under rotation in elliptical traps. Working in the Thomas-Fermi limit, we employ the classical hydrodynamic equations to first derive the rotating condensate solutions and then consider their response to perturbations. We thereby map out the regimes of stability and instability for rotating dipolar Bose-Einstein condensates and in the latter case, discuss the possibility of vortex lattice formation. We employ our results to propose several novel routes to induce vortex lattice formation in a dipolar condensate.