Abstract
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.
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