Corpus ID: 119223468

Helicity transfer during quantised vortex reconnection

@article{Baggaley2014HelicityTD,
  title={Helicity transfer during quantised vortex reconnection},
  author={A. Baggaley},
  journal={arXiv: Fluid Dynamics},
  year={2014}
}
We consider the reconnection of two untwisted, linked quantised vortex rings in a Bose-Einstein condensate. We show that the reconnection is capable of transferring helicity, from the links present in the initial configuration, to a twisting of the resulting vortex ring, and hence a rotation of the phase plane along the vortex ring. As velocities in a quantum fluid are the gradient of the phase, a twisting of the phase along the vortices leads to an axial flow along the vortices. Hence one… Expand

Figures from this paper

Helicity within the vortex filament model
TLDR
By defining a spanwise vector to the vortex through the use of a Seifert framing, the paper explains how a quasi-classical limit of helicity emerges from helicity considerations for individual superfluid vortex filaments. Expand
Torus quantum vortex knots in the Gross-Pitaevskii model for Bose-Einstein condensates
We examine the static and dynamic properties of quantum knots in a Bose-Einstein condensate. In particular, we consider the Gross-Pitaevskii model and revise a technique to construct ab initio theExpand
Modeling The Gross-Pitaevskii Equation using The Quantum Lattice Gas Method
We present an improved Quantum Lattice Gas (QLG) algorithm as a mesoscopic unitary perturbative representation of the mean eld Gross Pitaevskii (GP) equation for BoseEinstein Condensates (BECs). TheExpand

References

SHOWING 1-10 OF 19 REFERENCES
Magnetic Reconnection: MHD Theory and Applications
Preface 1. Introduction 2. Current-sheet formation 3. Magnetic annihilation 4. Steady reconnection: the classical solutions 5. Steady reconnection: new generation of fast regimes 6. UnsteadyExpand
Phys
  • 128, 167
  • 2002
Proc
  • R. Soc. A 439, 411
  • 1992
Phys
  • Rev. B 89, 014504
  • 2014
Proc
  • Natl. Acad. Sci. U.S.A. 111, 3663
  • 2014
Phys
  • Fluids 24,
  • 2012
Phys
  • Rev. E 84, 016406
  • 2011
Phys
  • Rev. E 81, 036401
  • 2010
Phys
  • Rev. A 77, 053612
  • 2008
Proc
  • Natl. Acad. Sci. U.S.A. 105, 13707
  • 2008
...
1
2
...