# 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

#### 3 Citations

Helicity within the vortex filament model

- Physics, Medicine
- Scientific reports
- 2016

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

- Physics, Mathematics
- 2012

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 the… Expand

Modeling The Gross-Pitaevskii Equation using The Quantum Lattice Gas Method

- Physics
- 2017

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). The… Expand

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