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- W4299902743 abstract "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. The absence of unstable eigenvalues is justified a posteriori through use of the Krein signature of purely imaginary eigenvalues, which also can be used to significantly reduce computational effort. In particular, we prove general basic continuation results on Krein signature for finite systems of eigenvalues in infinite-dimensional problems." @default.
- W4299902743 created "2022-10-03" @default.
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- W4299902743 date "2011-03-01" @default.
- W4299902743 modified "2023-10-08" @default.
- W4299902743 title "Spectral stability of vortices in two-dimensional Bose-Einstein condensates via the Evans function and Krein signature" @default.
- W4299902743 doi "https://doi.org/10.48550/arxiv.1103.0157" @default.
- W4299902743 hasPublicationYear "2011" @default.
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