The stability of atomic and molecular BECs in a double-well potential

Abstract

We discuss how the internal Josephson effect between atomic and molecular BECs changes the behavior of atomic Bose-Josephson junctions, especially the stability of π-states, in which the relative phase between BECs is π. In this study, we use the four-mode model, and applying the classical analysis, we show that the equally-populated π-state remains stable in the presence of the atom-molecule Josephson effect. In contrast, the non-equally-populated π-state exhibits the instability, even for a very small atom-molecule coupling.