Dynamical Instability of a Rotating Dipolar Bose-Einstein Condensate
R.M.W. van Bijnen, D.H.J. O'Dell, N.G. Parker, A.M. Martin
TL;DR
This paper investigates the stability and dynamical behavior of a rotating dipolar Bose-Einstein condensate, revealing how long-range interactions influence static solutions, instabilities, and collective modes, with implications for vortex formation.
Contribution
It provides a comprehensive analysis of the hydrodynamic solutions and stability regimes of dipolar BECs under rotation, highlighting the effects of dipolar interactions on dynamical instabilities.
Findings
Static solutions vary with dipolar interaction strength.
Instability regimes depend non-trivially on dipolar interactions.
Analysis of collective modes informs vortex formation mechanisms.
Abstract
We calculate the hydrodynamic solutions for a dilute Bose-Einstein condensate with long-range dipolar interactions in a rotating, elliptical harmonic trap, and analyse their dynamical stability. The static solutions and their regimes of instability vary non-trivially on the strength of the dipolar interactions. We comprehensively map out this behaviour, and in particular examine the experimental routes towards unstable dynamics, which, in analogy to conventional condensates, may lead to vortex lattice formation. Furthermore, we analyse the centre of mass and breathing modes of a rotating dipolar condensate.
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