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Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving

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Vortex knots in a Bose-Einstein condensate.

Davide Proment¹, Miguel Onorato, Carlo F Barenghi

¹Dipartimento di Fisica, Università degli Studi di Torino, Via Pietro Giuria 1, 10125 Torino, Italy, EU. davideproment@gmail.com

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|May 17, 2012

Summary

We numerically simulate vortex knots in Bose-Einstein condensates, finding their speed depends on torus geometry. These complex superfluid structures eventually break apart into simpler vortex rings.

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Area of Science:

Quantum physics
Condensed matter physics

Background:

Bose-Einstein condensates exhibit quantized vortices.
Vortex knots represent complex topological structures in superfluids.

Purpose of the Study:

To numerically construct and study the simplest vortex knot states in superfluid Bose-Einstein condensates.
To investigate the dynamics and stability of these vortex knots.

Main Methods:

Time integration of the Gross-Pitaevskii equation.
Numerical simulation of vortex knot evolution on a torus.
Analysis of vortex knot velocity and breakup dynamics.

Main Results:

Successfully built vortex knot states in the superfluid wave function.
Vortex knot velocity is dependent on the poloidal to toroidal radius ratio, with smaller ratios leading to faster speeds.
Demonstrated the breakup of vortex knots into individual vortex rings.

Conclusions:

The Gross-Pitaevskii equation accurately describes vortex knot dynamics.
Geometric parameters significantly influence vortex knot motion.
Vortex knots are unstable and decay into simpler topological structures.