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The effect of quantum fluctuations on the current-voltage characteristics ofJosephson junctions and superconducting nanowires is studied in the underdampedlimit. Quantum fluctuations induce transitions between a Coulomb--blockade anda supercurrent branch, and can significantly modify the shape ofcurrent-voltage characteristics in the case of a highly resistive environment.Owing to the phase-charge duality, our results can be directly extended to theopposite overdamped limit.

Quantum charge diffusion in underdamped Josephson junctions and superconducting nanowires