Spectral stability of vortices in two-dimensional Bose-Einstein condensates via the Evans function and Krein signature

@inproceedings{Kollr2009SpectralSO,
title={Spectral stability of vortices in two-dimensional Bose-Einstein condensates via the Evans function and Krein signature},
author={Richard Koll{\'a}r and Robert L. Pego},
year={2009}
}

We investigate spectral stability of vortex solutions of the Gross-Pitaevskii equation, a mean-field approximation for Bose-Einstein condensates (BEC) in an effectively two-dimensional axisymmetric harmonic trap. We study eigenvalues of the linearization both rigorously and through computation of the Evans function, a sensitive and robust technique whose use we justify mathematically. Computational effort is significantly reduced through use of the Krein signature of purely imaginary… CONTINUE READING