Two weakly interacting Bose-Einstein condensates: a single component and a binary mixture

Abstract

We analyze the tunneling dynamics between two weakly interacting Bose-Einstein condensates in a symmetric double-well potential within the two-mode approach. We consider a single component and a binary mixture as well. Using a two-mode ansatz, we obtain the corre-sponding equations of motion from the Gross-Pitaevskii equation. We investigate the Josephson dynamics and the macroscopic quantum self-trapping regimes for the single component case. On the other hand, for the binary mixture, we explore the small oscillations for the strongly polarized and the non-polarized case