Sharp interface limit for two components Bose-Einstein condensates

M. Goldman, J. Royo-Letelier, ESAIM - Control, Optimisation and Calculus of Variations 21 (2015) 603–624.


Journal Article | Published | English
Author
Department
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.
Publishing Year
Date Published
2015-05-01
Journal Title
ESAIM - Control, Optimisation and Calculus of Variations
Volume
21
Issue
3
Page
603 - 624
IST-REx-ID

Cite this

Goldman M, Royo-Letelier J. Sharp interface limit for two components Bose-Einstein condensates. ESAIM - Control, Optimisation and Calculus of Variations. 2015;21(3):603-624. doi:10.1051/cocv/2014040
Goldman, M., & Royo-Letelier, J. (2015). Sharp interface limit for two components Bose-Einstein condensates. ESAIM - Control, Optimisation and Calculus of Variations, 21(3), 603–624. https://doi.org/10.1051/cocv/2014040
Goldman, Michael, and Jimena Royo-Letelier. “Sharp Interface Limit for Two Components Bose-Einstein Condensates.” ESAIM - Control, Optimisation and Calculus of Variations 21, no. 3 (2015): 603–24. https://doi.org/10.1051/cocv/2014040.
M. Goldman and J. Royo-Letelier, “Sharp interface limit for two components Bose-Einstein condensates,” ESAIM - Control, Optimisation and Calculus of Variations, vol. 21, no. 3, pp. 603–624, 2015.
Goldman M, Royo-Letelier J. 2015. Sharp interface limit for two components Bose-Einstein condensates. ESAIM - Control, Optimisation and Calculus of Variations. 21(3), 603–624.
Goldman, Michael, and Jimena Royo-Letelier. “Sharp Interface Limit for Two Components Bose-Einstein Condensates.” ESAIM - Control, Optimisation and Calculus of Variations, vol. 21, no. 3, EDP Sciences, 2015, pp. 603–24, doi:10.1051/cocv/2014040.

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