Non-Hermitian Dynamics of a Dissipative Squid in a MQC Experiment

We describe the dynamics of a rf-SQUID, in presence of dissipation, by exploiting generalized non-Hermitian Hamiltonians. We discuss, by such an approach, the time evolution of the density matrix for an ohmic rf-SQUID in a MQC experiment. Our formalism allows us to recover the results by Caldeira and Leggett on the decay rate of the oscillations of the tunneling probability.