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Quantum Phase Transitions in Dissipative Josephson Junction Arrays

“…In typical experiments, the impedance of the environment R s is quite low: R s <C RQ. 7 AS temperature goes to zero, finite Josephson junction array can be effectively viewed as a sinlge junction with renormahzed coupling constants Ef. The strong suppression of the quantum phase fluctuations due to a dissipation R s at the two end dots implies that any finite Josephson junction array will be superconducting at zero temperature.…”