Limitations of Caldeira-Leggett model for description of phase transitions in superconducting circuits
arXiv:2312.15951 · doi:10.1103/PhysRevB.110.184505
Abstract
The inherent complexity of system-bath interactions often requires making critical approximations, which we here show to have a radical influence on the renormalization group flow and the resulting phase diagram. Specifically, for the Caldeira-Leggett model Schmid and Bulgadaev (SB) predicted a phase transition, whose experimental verification in resistive superconducting circuits is currently hotly debated. For normal metal and Josephson junction array resistors, we show that the mapping to Caldeira-Leggett is only exact when applying approximations which decompactify the superconducting phase. We show that there exist treatments that retain phase compactness, which immediately lead to a phase diagram depending on four instead of two parameters. While we still find an SB-like transition in the transmon regime, the critical parameter is controlled exclusively by the capacitive coupling. In contrast, the Cooper pair box maps to the anisotropic Kondo model, where a pseudoferromagnetic phase is not allowed for regular electrostatic interactions.
arXiv comment10 pages, 2 figures. Supplemental material at the end of file (after bibliography). Feedback is welcome
References in corpus (45)
- Charge insensitive qubit design derived from the Cooper pair box
- Coherent control of macroscopic quantum states in a single-Cooper-pair box
- The numerical renormalization group method for quantum impurity systems
- Fluxonium: single Cooper pair circuit free of charge offsets
- Suppressing Charge Noise Decoherence in Superconducting Charge Qubits
- Introduction to Quantum Electromagnetic Circuits
- Bipartite Fluctuations as a Probe of Many-Body Entanglement
- Coherent quantum phase slip
- Relaxation and frequency shifts induced by quasiparticles in superconducting qubits
- Multi-level quantum description of decoherence in superconducting qubits
- Kondo effect in real quantum dots
- Fractional excitations in the Luttinger liquid
- Charging effects in the inductively shunted Josephson junction
- Electron Attraction Mediated by Coulomb Repulsion
- Quantum Fluctuations in the Equilibrium State of a Thin Superconducting Loop
- Hardware-Encoding Grid States in a Non-Reciprocal Superconducting Circuit
- Experimental demonstration of Aharonov-Casher interference in a Josephson junction circuit
- Absence of a dissipative quantum phase transition in Josephson junctions
- Dual approach to circuit quantization using loop charges
- Coulomb Blockade of Tunneling between Disordered Conductors
- Full counting statistics of Luttinger liquid conductor
- A cluster algorithm for resistively shunted Josephson junctions
- Absence versus Presence of Dissipative Quantum Phase Transition in Josephson Junctions
- Quantum fluctuations of one-dimensional free fermions and Fisher-Hartwig formula for Toeplitz determinants
- Superconductor-insulator quantum phase transition in a single Josephson junction
- Spin-boson quantum phase transition in multilevel superconducting qubits
- Bolometric detection of Josephson inductance in a highly resistive environment
- Appearance of ferroelectricity in thin films of incipient ferroelectric
- Microwave spectroscopy of a weakly-pinned charge density wave in a superinductor
- Proximity effect in normal-metal quasiparticle traps
- Resistively shunted Josephson junctions: QFT predictions versus MC results
- Quantum phase transition with dissipative frustration
- Counting free fermions on a line: a Fisher-Hartwig asymptotic expansion for the Toeplitz determinant in the double-scaling limit
- Attractive and driven interaction in quantum dots: mechanisms for geometric pumping
- Temperature Dependence of Zero-Bias Resistances of a Single Resistance-Shunted Josephson Junction
- 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
- Bosonization for Wigner-Jordan-like Transformation : Backscattering and Umklapp-processes on Fictitious Lattice
- Reply to `Comment on "Absence versus Presence of Dissipative Quantum Phase Transition in Josephson Junctions"'
- Charge quantization and detector resolution
- Quasiperiodic circuit quantum electrodynamics
- Fermionic full counting statistics with smooth boundaries: from discrete particles to bosonization
- Counting interacting electrons in one dimension
- Engineering the speedup of quantum tunneling in Josephson systems via dissipation