Stability of a purely dipolar gas in a power-law potential
ORAL
Abstract
We solve the time-independent Gross–Pitaevskii equation numerically to explore the stability of a purely dipolar Bose–Einstein condensate (BEC) in a cylindrically-symmetric trap. The atoms are polarised and confined to a harmonic potential along the cylinder’s axis, and they are trapped in a general power-law potential (rn) in the perpendicular direction. We explore the effect of both the power law and the trap aspect ratio.
For small aspect ratios, we confirm the instability is seeded by high density at the centre of the trap. However, for larger aspect ratios this transforms into a roton-like instability, which is seeded by finite-k roton-like density oscillations. For high-n (box-like) potentials, we find that however large the aspect ratio is, a confined gas is always less stable than a completely uniform one as instability is seeded by the hard wall. Interestingly, we observe that a softer potential (n~7) actually produces a more homogeneous 2D-density than a simple box-potential.
For small aspect ratios, we confirm the instability is seeded by high density at the centre of the trap. However, for larger aspect ratios this transforms into a roton-like instability, which is seeded by finite-k roton-like density oscillations. For high-n (box-like) potentials, we find that however large the aspect ratio is, a confined gas is always less stable than a completely uniform one as instability is seeded by the hard wall. Interestingly, we observe that a softer potential (n~7) actually produces a more homogeneous 2D-density than a simple box-potential.
*This work was supported by EPSRC Grant No. EP/P009565/1, the John Fell Oxford University Press (OUP) Research Fund and the Royal Society. P. J. acknowledges funding from NTP Grant No. NTP-NFTÖ-20-C-0052. M. K. acknowledges funding from Trinity College, University of Cambridge.
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Presenters
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Péter Juhász
- University of Oxford
- Clarendon Laboratory, University of Oxford
- Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom