Sharp interface limit for two components Bose-Einstein condensates Journal Article

Author(s): Goldman, Michael; Royo-Letelier, Jimena
Article Title: Sharp interface limit for two components Bose-Einstein condensates
Affiliation IST Austria
Abstract: We study a double Cahn-Hilliard type functional related to the Gross-Pitaevskii energy of two-components Bose-Einstein condensates. In the case of large but same order intercomponent and intracomponent coupling strengths, we prove Γ-convergence to a perimeter minimisation functional with an inhomogeneous surface tension. We study the asymptotic behavior of the surface tension as the ratio between the intercomponent and intracomponent coupling strengths becomes very small or very large and obtain good agreement with the physical literature. We obtain as a consequence, symmetry breaking of the minimisers for the harmonic potential.
Keywords: Bose-Einstein condensates; BV functions; Isoperimetric problems; Γ-convergence
Journal Title: ESAIM - Control, Optimisation and Calculus of Variations
Volume: 21
Issue 3
ISSN: 1262-3377
Publisher: EDP Sciences  
Date Published: 2015-01-01
Start Page: 603
End Page: 624
DOI: 10.1051/cocv/2014040
Open access: yes (repository)
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