We study an RF SQUID, in which a section of the loop is a freely suspended
beam that is allowed to oscillate mechanically. The coupling between the RF
SQUID and the mechanical resonator originates from the dependence of the total
magnetic flux threading the loop on the displacement of the resonator. Motion
of the latter affects the visibility of Rabi oscillations between the two
lowest energy states of the RF SQUID. We address the feasibility of
experimental observation of decoherence and recoherence, namely decay and rise
of the visibility, in such a system.Comment: 9 pages, 2 figure
