Absence versus Presence of Dissipative Quantum Phase Transition in Josephson Junctions

Abstract

Dissipative quantum phase transition has been widely believed to occur in a Josephson junction coupled to a resistor despite a lack of concrete experimental evidence. Here, on the basis of both numerical and analytical nonperturbative renormalization group (RG) analyses, we reveal breakdown of previous perturbative arguments and defy the common wisdom that the transition always occurs at the quantum resistance $R_Q=h/(4e^2)$. We find that RG flows in nonperturbative regimes induce nonmonotonic renormalization of the charging energy and lead to a qualitatively different phase diagram, where the insulator phase is strongly suppressed to the deep charge regime (Cooper pair box), while the system is always superconducting in the transmon regime. We identify a previously overlooked dangerously irrelevant term as an origin of the failure of conventional understandings. Our predictions can be tested in recent experiments realizing high-impedance long superconducting waveguides and would provide a solution to the long-standing controversy about the fate of dissipative quantum phase transition in the resistively shunted Josephson junction.

6+12 pages, 4+6 figures, to appear in PRL

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• Superconductivity from a melted insulator
• Comment on "Absence versus Presence of Dissipative Quantum Phase Transition in Josephson Junctions''
• Emergent quantum phase transition of a Josephson junction coupled to a high-impedance multimode resonator
• Inelastic decay from integrability
• On the nature of the Schmid transition in a resistively shunted Josephson junction
• Observation of the Schmid-Bulgadaev dissipative quantum phase transition
• Functional Renormalization Group Approach to Circuit Quantum Electrodynamics
• Reply to `Comment on "Absence versus Presence of Dissipative Quantum Phase Transition in Josephson Junctions"'
• Photonic heat transport through a Josephson junction in a resistive environment
• Limitations of Caldeira-Leggett model for description of phase transitions in superconducting circuits
• Resilience of the quantum critical line in the Schmid transition
• On the different Floquet Hamiltonians in a periodic-driven Bose-Josephson junction
• Local Non-Hermitian Hamiltonian Formalism for Dissipative Fermionic Systems and Loss-Induced Population Increase in Fermi Superfluids
• Interaction-induced dissipative quantum phase transition in a head-to-tail atomic Josephson junction
• Separation of relaxation timescales via strong system-bath coupling: Dissipative three-level system as a case study
• Revisiting dissipation-driven phase transition in a Josephson junction
• Absence of a dissipative quantum phase transition in Josephson junctions: Theory