Tunneling Dynamics Between Atomic and Molecular Bose-Einstein Condensates

Tunneling dynamics of multi-atomic molecules between atomic and multi-atomic molecular Bose-Einsteincondensates with Feshbach resonance is investigated.It is indicated that the tunneling in the two Bose-Einstein con-densates depends on not only the inter-atomic-molecular nonlinear interactions and the initial number of atoms in thesecondensates,but also the tunneling coupling between the atomic condensate and the multi-atomic molecular conden-sate.It is discovered that besides oscillating tunneling current between the atomic condensate and the multi-atomicmolecular condensate,the nonlinear multi-atomic molecular tunneling dynamics sustains a self-locked population imbal-ance:a macroscopic quantum self-trapping effect.The influence of de-coherence caused by non-condensate atoms on thetunneling dynamics is studied.It is shown that de-coherence suppresses the multi-atomic molecular tunneling.More-over,the conception of the molecular Bose-Einstein condensate,which is different from the conventional single-atomicBose-Einstein condensate,is specially emphasized in this paper.