Stability of the solutions of the Gross-Pitaevskii equation
arXiv:cond-mat/0507455 · doi:10.1103/PhysRevA.72.053617
Abstract
We examine the static and dynamic stability of the solutions of the Gross-Pitaevskii equation and demonstrate the intimate connection between them. All salient features related to dynamic stability are reflected systematically in static properties. We find, for example, the obvious result that static stability always implies dynamic stability and present a simple explanation of the fact that dynamic stability can exist even in the presence of static instability.
arXiv comment7 pages, 1 figure
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- Quantum Field Theoretical Description of Unstable Behavior of Trapped Bose-Einstein Condensates with Complex Eigenvalues of Bogoliubov-de Gennes Equations
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