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Abstract
We study binary mixtures of Bose–Einstein condensates confined in a two-well potential within the framework of the Gross–Pitaevskii equation. We re-examine both the single component and the binary mixture cases for such a potential. We investigate the most usual dimensional reductions used to solve the Gross–Pitaevskii equations, including the one proposed by Reatto and collaborators. To this end, we compare numerical simulations of the 1D reductions with the full 3D numerical solutions of the Gross–Pitaevskii equation. Our analysis considers an experimentally feasible binary mixture of an F = 1 spinor condensate where two of its Zeeman manifolds are populated.
Acknowledgments
We thank J. Martorell for useful discussions. B.J.-D. is supported by Grup Consolidat SGR 21-2009-2013. M.M.-M. is supported by an FPI PhD grant of the Ministerio de Ciencia e Innovación (Spain). This work is also supported by the Grants No. FIS2008-00421, FIS2008-00784 and FIS2008-01236 from MEC (Spain), and Grants No. 2009SGR-01289 and 2009SGR-0985 from Generalitat de Catalunya.