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

TL;DR

This paper investigates the dynamics of binary F=1 87-Rb Bose-Einstein condensates in a double-well potential, comparing simplified models with full 3D simulations to assess their accuracy and applicability.

Contribution

It evaluates the validity of two-mode and dimensionality reduction models for describing binary condensate mixtures in double-well traps.

Findings

Two-mode approach accurately describes certain dynamical regimes.

Dimensionality reductions are valid under specific conditions.

Full 3D simulations provide benchmarks for simplified models.

Abstract

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.