Fk. Wilhelm et al., Superconducting single-charge transistor in a tunable dissipative environment - art. no. 136802, PHYS REV L, 8713(13), 2001, pp. 6802
We study a superconducting single-charge transistor, where the coherence of
Cooper pair tunneling is destroyed by the coupling to a tunable dissipativ
e environment. Sequential tunneling and cotunneling processes are analyzed
to construct the shape of the conductance peaks and their dependence on the
dissipation and temperature. Unexpected features are found due to a crosso
ver between two distinct regimes, one "environment assisted" the other "env
ironment dominated." Several of the predictions have been confirmed by rece
nt experiments. The model and results apply also to the dynamics of Josephs
on junction quantum bits on a conducting ground plane, thus explaining the
influence of dissipation on the coherence.