Oscillation dynamics of multi-well condensates

We propose a new approach to the macroscopic dynamics of three-well Bose-Einstein condensates, giving particular emphasis to self-trapping and Josephson oscillations. Although these effects have been studied quite thoroughly in the mean-field approximation, a full quantum description is desirable, since it avoids pathologies due to the non-linear character of the mean-field equations. Using superpositions of quantum eigenstates, we construct various oscillation and trapping scenarios.