Location and phase segregation of ground and excited states for 2D Gross-Pitaevskii systems

Details Location and phase segregation of ground and excited states for 2D Gross-Pitaevskii systems Location and phase segregation of ground and excited states for 2D Gross-Pitaevskii systems

2008-06-05

arxiv.org/abs/0806.0961v1

Dyn. Partial Differential Equations 5 (2008) (2), 117-137

Mathematics

Analysis of PDEs

21 pages, to appear in Dyn. Partial Diff. Equat

Scientific paper

We consider a system of Gross-Pitaevskii equations in R^2 modelling a mixture of two Bose-Einstein condensates with repulsive interaction. We aim to study the qualitative behaviour of ground and excited state solutions. We allow two different harmonic and off-centered trapping potentials and study the spatial patterns of the solutions within the Thomas-Fermi approximation as well as phase segregation phenomena within the large-interaction regime.

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