Abstract
In their Comment [P. Hakonen and E. B. Sonin, preceding comment, Phys. Rev. X 11, 018001 (2021)], Hakonen and Sonin (HS) object to our conclusion on the absence of a dissipation-induced superconducting-to-insulating quantum phase transition (DQPT) in resistively shunted Josephson junctions (RSJJs) originally predicted by Schmid and Bulgadaev (SB). Their objections are based on the account they make of a theory explaining the DQPT in terms of Bloch bands which was developed in the 1980s and early 1990s. In this Reply, we point to several issues in the Comment which undermine the objections HS formulate against our work.
Highlights
A quantum phase transition is, by definition, a change in nature of the system’s ground state occurring at a given value of a system parameter
Probing directly the true ground state is impossible experimentally, since it would require operating at zero temperature, a well-established generic theory of quantum phase transitions (Ref. [28] in our article [1]) shows that the existence of such a transition implies that finite-temperature equilibrium properties of the system follow power laws with predictable universal exponents characteristic of universality classes to which the system belongs
Unlike what is expected for an insulating ground state, we observe this linear response does not vanish following a power law of temperature; on the contrary, it saturates at low temperature while displaying a flux modulation characteristic of a superconducting system
Summary
A quantum phase transition is, by definition, a change in nature of the system’s ground state occurring at a given value of a system parameter (in the case we consider, the strength of the dissipation supposedly drives the system from a superconducting to an insulating ground state at a given value). Rev. X 11, 018001 (2021)], Hakonen and Sonin (HS) object to our conclusion on the absence of a dissipation-induced superconducting-to-insulating quantum phase transition (DQPT) in resistively shunted Josephson junctions (RSJJs) originally predicted by Schmid and Bulgadaev (SB).
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