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We study the dynamical stability of the macroscopic quantum oscillationscharacterizing a system of three coupled Bose-Einstein condensates arrangedinto an open-chain geometry. The boson interaction, the hopping amplitude andthe central-well relative depth are regarded as adjustable parameters. Afterderiving the stability diagrams of the system, we identify three mechanisms torealize the transition from an unstable to stable behavior and analyze specificconfigurations that, by suitably tuning the model parameters, give rise tomacroscopic effects which are expected to be accessible to experimentalobservation. Also, we pinpoint a system regime that realizes aJosephson-junction-like effect. In this regime the system configuration do notdepend on the model interaction parameters, and the population oscillationamplitude is related to the condensate-phase difference. This fact makespossible estimating the latter quantity, since the measure of the oscillatingamplitudes is experimentally accessible.

Control of unstable macroscopic oscillations in the dynamics of three coupled Bose condensates