Weakly linked binary mixtures of F=1 87-Rb Bose-Einstein condensates

Details Weakly linked binary mixtures of F=1 87-Rb Bose-Einstein condensates Weakly linked binary mixtures of F=1 87-Rb Bose-Einstein condensates

2010-05-28

arxiv.org/abs/1005.5272v1

New J. Phys. 13 033012 (2011)

Physics

Condensed Matter

Quantum Gases

44 pages, 19 figures

Scientific paper

10.1088/1367-2630/13/3/033012

We present a study of binary mixtures of Bose-Einstein condensates confined in a double-well potential within the framework of the mean field Gross-Pitaevskii equation. We reexamine both the single component and the binary mixture cases for such a potential, and we investigate in which situations a simpler two-mode approach leads to an accurate description of their dynamics. We also estimate the validity of the most usual dimensionality reductions used to solve the Gross-Pitaevskii equations. To this end, we compare both the semi-analytical two-mode approaches and the numerical simulations of the 1D reductions with the full 3D numerical solutions of the Gross-Pitaevskii equation. Our analysis provides a guide to clarify the validity of several simplified models that describe mean field non-linear dynamics, using an experimentally feasible binary mixture of an F=1 spinor condensate with two of its Zeeman manifolds populated, m=+1 and m=-1.

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