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arXiv:0806.0961 · Dynamics of Partial Differential Equations

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

Marco Caliari A, Marco Squassina

Published Jan 1, 2008• 19 citations
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Abstract

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 largeinteraction regime.

DOI
10.4310/dpde.2008.v5.n2.a2

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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 largeinteraction regime.
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