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Half a century after its discovery, the Josephson junction has become themost important nonlinear quantum electronic component at our disposal. It hashelped reshape the SI system around quantum effects and is used in scores ofquantum devices. By itself, the use of Josephson junctions in the voltmetrology seems to imply an exquisite understanding of the component in everyaspect. Yet, surprisingly, there have been long-standing subtle issuesregarding the modeling of the interaction of a junction with itselectromagnetic environment. Here, we find that a Josephson junction connectedto a resistor does not become insulating beyond a given value of the resistancedue to a dissipative quantum phase transition, as is commonly believed. Ourwork clarifies how this key quantum component behaves in the presence of adissipative environment and provides a comprehensive and consistent picture,notably regarding the treatment of its phase.

Absence of a dissipative quantum phase transition in Josephson junctions