Absence of a dissipative quantum phase transition in Josephson junctions

Abstract

Half a century after its discovery, the Josephson junction has become the most important nonlinear quantum electronic component at our disposal. It has helped reshape the SI system around quantum effects and is used in scores of quantum devices. By itself, the use of Josephson junctions in the volt metrology seems to imply an exquisite understanding of the component in every aspect. Yet, surprisingly, there have been long-standing subtle issues regarding the modeling of the interaction of a junction with its electromagnetic environment. Here, we find that a Josephson junction connected to a resistor does not become insulating beyond a given value of the resistance due to a dissipative quantum phase transition, as is commonly believed. Our work clarifies how this key quantum component behaves in the presence of a dissipative environment and provides a comprehensive and consistent picture, notably regarding the treatment of its phase.

References in corpus (37)

• Charge insensitive qubit design derived from the Cooper pair box
• Coherent control of macroscopic quantum states in a single-Cooper-pair box
• Fluxonium: single Cooper pair circuit free of charge offsets
• Quantum phase transitions
• Suppressing Charge Noise Decoherence in Superconducting Charge Qubits
• Black-box superconducting circuit quantization
• Exact Conductance through Point Contacts in the $\nu =1/3$ Fractional Quantum Hall Effect
• Introduction to Quantum Electromagnetic Circuits
• Multi-level quantum description of decoherence in superconducting qubits
• The Bright Side of Coulomb Blockade
• Entanglement Entropy, decoherence, and quantum phase transition of a dissipative two-level system
• Charging effects in the inductively shunted Josephson junction
• "Superconductor-Insulator transition" in a single Josephson junction
• A one-channel conductor in an ohmic environment: mapping to a TLL and full counting statistics
• A generalized multi-polaron expansion for the spin-boson model: Environmental entanglement and the biased two-state system
• Tomonaga-Luttinger physics in electronic quantum circuits
• Stabilizing Spin Coherence Through Environmental Entanglement in Strongly Dissipative Quantum Systems
• Antibunched photons emitted by a dc biased Josephson junction
• Quantum electrodynamics of a superconductor-insulator phase transition
• Observation of quantum many-body effects due to zero point fluctuations in superconducting circuits
• Effect of zero point phase fluctuations on Josephson tunneling
• Circuit Quantum Simulation of a Tomonaga-Luttinger Liquid with an Impurity
• Strong back-action of a linear circuit on a single electronic quantum channel
• Dual approach to circuit quantization using loop charges
• Circuit theory for decoherence in superconducting charge qubits
• A cluster algorithm for resistively shunted Josephson junctions
• Flux-charge duality and topological quantum phase fluctuations in quasi-one-dimensional superconductors
• Superconductor-insulator quantum phase transition in a single Josephson junction
• Electron heating in metallic resistors at sub-Kelvin temperature
• A bright on-demand source of anti-bunched microwave photons based on inelastic Cooper pair tunneling
• Appearance of ferroelectricity in thin films of incipient ferroelectric
• Resistively shunted Josephson junctions: QFT predictions versus MC results
• Self-consistent dynamics of a Josephson junction in presence of an arbitrary environment
• Current to frequency conversion in a Josephson circuit
• Temperature Dependence of Zero-Bias Resistances of a Single Resistance-Shunted Josephson Junction
• Quantum electrodynamic fluctuations of the macroscopic Josephson phase
• The effect of environmental coupling on tunneling of quasiparticles in Josephson junctions

Cited by in corpus (28)

• Absence versus Presence of Dissipative Quantum Phase Transition in Josephson Junctions
• Superfluid signatures in a dissipative quantum point contact
• Signatures of Dissipation Driven Quantum Phase Transition in Rabi Model
• Critical fluorescence of a transmon at the Schmid transition
• Spin-boson quantum phase transition in multilevel superconducting qubits
• Bolometric detection of Josephson inductance in a highly resistive environment
• Quantum circuits with multiterminal Josephson-Andreev junctions
• Fractional Josephson effect versus fractional charge in superconducting-normal metal hybrid circuits
• 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
• Tuning the inductance of Josephson junction arrays without SQUIDs
• Observation of the Schmid-Bulgadaev dissipative quantum phase transition
• Quantum and thermal fluctuations in the dynamics of a resistively and capacitively shunted Josephson junction
• Functional Renormalization Group Approach to Circuit Quantum Electrodynamics
• Quantum rotator and Josephson junction: compact vs. extended phase and dissipative quantum phase transition
• Charge quantization and detector resolution
• Limitations of Caldeira-Leggett model for description of phase transitions in superconducting circuits
• Photonic heat transport through a Josephson junction in a resistive environment
• Resilience of the quantum critical line in the Schmid transition
• Nonlinear response theory for lossy superconducting quantum circuits
• Counting interacting electrons in one dimension
• On "Consistent Quantization of Nearly Singular Superconducting Circuits"
• Interaction-induced dissipative quantum phase transition in a head-to-tail atomic Josephson junction
• Toward the detection of spin-vortex-induced loop currents in a single bilayer Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ thin film and their possible use as qubits: Model calculations for three nano-island architecture
• Revisiting dissipation-driven phase transition in a Josephson junction
• Dissipation and noise in strongly driven Josephson junctions
• Inverse Superconductor-Insulator Transition in Weakly Monitored Josephson Junction Arrays