# Decay of a Quantum Vortex: Test of Nonequilibrium Theories for Warm Bose-Einstein Condensates

S J Rooney,
A S Bradley,
P Blair Blakie

February 2010

### Abstract

The decay of a vortex from a nonrotating high temperature Bose-Einstein condensate is modeled using the stochastic projected Gross-Pitaevskii equation (SPGPE). In order to exploit the tunability of temperature in SPGPE theory while maintaining the total atom number constant, we develop a simple and accurate Hartree-Fock method to estimate the SPGPE parameters for systems close to thermal equilibrium. We then calculate the lifetime of a vortex using three classical field theories that describe vortex decay in different levels of approximation. The SPGPE theory is shown to give the most complete description of the decay process, predicting significantly shorter vortex lifetimes than the alternative theories. Using the SPGPE theory to simulate vortex decay for a trapped gas of 5 × 105 87Rb atoms, we calculate a vortex lifetime t ̄ that decreases linearly with temperature, falling in the range 20s $>$ t ̄ $>$ 1.5s corresponding to the temperature range 0.78Tc T 0.93Tc . The vortex lifetimes calculated provide a lower bound for the lifetime of a persistent current with unit winding number in our chosen trap geometry in the limit of vanishing vortex pinning potential.

Publication

*Physical Review A*