Functional Renormalization Group Approach to Circuit Quantum Electrodynamics
arXiv:2208.14107 · doi:10.1103/PhysRevA.107.043709
Abstract
A nonperturbative approach is developed to analyze superconducting circuits coupled to quantized electromagnetic continuum within the framework of the functional renormalization group. The formalism allows us to determine complete physical pictures of equilibrium properties in the circuit quantum electrodynamics (cQED) architectures with high-impedance waveguides, which have recently become accessible in experiments. We point out that nonperturbative effects can trigger breakdown of the supposedly effective descriptions, such as the spin-boson and boundary sine-Gordon models, and lead to qualitatively new phase diagrams. The origin of the failure of conventional understandings is traced to strong renormalizations of circuit parameters at low-energy scales. Our results indicate that a nonperturbative analysis is essential for a comprehensive understanding of cQED platforms consisting of superconducting circuits and long high-impedance transmission lines.
16 pages, 8 figures
References in corpus (22)
- Exact evolution equation for the effective potential
- The numerical renormalization group method for quantum impurity systems
- Photon-mediated interactions between distant artificial atoms
- Quantum Electrodynamical Density-Functional Theory: Bridging Quantum Optics and Electronic-Structure Theory
- Cavity enhanced transport of excitons
- Nonlinear response of the vacuum Rabi resonance
- Observation of Dicke Superradiance for Two Artificial Atoms in a Cavity with High Decay Rate
- Cavity Quantum Materials
- Strongly-Correlated Electron-Photon Systems
- Mesoscopic Entanglement Induced by Spontaneous Emission in Solid-State Quantum Optics
- Cavity QED on a nanofiber using a composite photonic crystal cavity
- Equilibrium and non-equilibrium dynamics of the sub-ohmic spin-boson model
- Scattering in the ultrastrong regime: nonlinear optics with one photon
- Inelastic Microwave Photon Scattering off a Quantum Impurity in a Josephson-Junction Array
- Flow equations for spectral functions at finite external momenta
- A cluster algorithm for resistively shunted Josephson junctions
- Absence versus Presence of Dissipative Quantum Phase Transition in Josephson Junctions
- Non-perturbative treatment of giant atoms using chain transformations
- Accelerating Polaritons with External Electric and Magnetic Fields
- Distant emitters in ultrastrong waveguide QED: Ground-state properties and non-Markovian dynamics
- Critical fluorescence of a transmon at the Schmid transition
- Tachyonic instability of the scalar mode prior to QCD critical point based on Functional renormalization-group method
Cited by in corpus (6)
- System-environment entanglement phase transitions
- On the nature of the Schmid transition in a resistively shunted Josephson junction
- Reply to `Comment on "Absence versus Presence of Dissipative Quantum Phase Transition in Josephson Junctions"'
- Resilience of the quantum critical line in the Schmid transition
- Interaction-induced dissipative quantum phase transition in a head-to-tail atomic Josephson junction
- Revisiting dissipation-driven phase transition in a Josephson junction