Inelastic Microwave Photon Scattering off a Quantum Impurity in a Josephson-Junction Array

Abstract

Quantum fluctuations in an anharmonic superconducting circuit enable frequency conversion of individual incoming photons. This effect, linear in the photon beam intensity, leads to ramifications for the standard input-output circuit theory. We consider an extreme case of anharmonicity in which photons scatter off a small set of weak links within a Josephson junction array. We show that this quantum impurity displays Kondo physics and evaluate the elastic and inelastic photon scattering cross sections. These cross sections reveal many-body properties of the Kondo problem that are hard to access in its traditional fermionic version.

18 pages, 5 figures; v2: published version

References in corpus (8)

• Introduction to Quantum Noise, Measurement and Amplification
• Bosonization and Strongly Correlated Systems
• Fluxonium: single Cooper pair circuit free of charge offsets
• Kondo Resonance of a Microwave Photon
• Energy-resolved inelastic electron scattering off a magnetic impurity
• Quantum simulation of Anderson and Kondo lattices with superconducting qubits
• The Maxwell-Bloch Theory in Quantum Optics and the Kondo Model
• Quantum impurity approach to a coupled qubit problem

Cited by in corpus (69)

• Ultrastrong coupling between light and matter
• Microwave photonics with superconducting quantum circuits
• Quantum electrodynamics near a photonic band-gap
• Environmental dynamics, correlations, and the emergence of noncanonical equilibrium states in open quantum systems
• Two-channel Kondo effect and renormalization flow with macroscopic quantum charge states
• Performance of a quantum heat engine at strong reservoir coupling
• Many-Body Quantum Electrodynamics Networks: Non-Equilibrium Condensed Matter Physics with Light
• A tunable Josephson platform to explore many-body quantum optics in circuit-QED
• Non-perturbative stochastic method for driven spin-boson model
• A generalized multi-polaron expansion for the spin-boson model: Environmental entanglement and the biased two-state system
• The quantum sine-Gordon model with quantum circuits
• Quantum simulation of the spin-boson model with a microwave circuit
• Inchworm Monte Carlo for exact non-adiabatic dynamics II. Benchmarks and comparison with established methods
• Stabilizing Spin Coherence Through Environmental Entanglement in Strongly Dissipative Quantum Systems
• Antibunched photons emitted by a dc biased Josephson junction
• Ultrastrong coupling few-photon scattering theory
• Observation of quantum many-body effects due to zero point fluctuations in superconducting circuits
• Driven dissipative dynamics and topology of quantum impurity systems
• Kerr non-linearity in a superconducting Josephson metamaterial
• Tunable microwave impedance matching to a high impedance source using a Josephson metamaterial
• Quantum efficiency of a microwave photon detector based on a double quantum dot
• Tunable Hybrid Quantum Electrodynamics from Non-Linear Electron Transport
• Quantum Dynamics of the Driven and Dissipative Rabi Model
• Particle Production in Ultra-Strong Coupling Waveguide QED
• Majorana representation for dissipative spin systems
• Quantum-limited Parametric Amplification with Josephson Circuits in the Regime of Pump Depletion
• Anatomy of quantum critical wave functions in dissipative impurity problems
• Waveguide QED: controllable channel from quantum interference
• Absence versus Presence of Dissipative Quantum Phase Transition in Josephson Junctions
• Josephson-Kondo screening cloud in circuit quantum electrodynamics
• Quantum Electronic Circuit Simulation of Generalized sine-Gordon Models
• Inelastic scattering of a photon by a quantum phase-slip
• Simulating ultrastrong-coupling processes breaking parity conservation in Jaynes-Cummings systems
• Spin-boson quantum phase transition in multilevel superconducting qubits
• Critical fluorescence of a transmon at the Schmid transition
• Spontaneous emission of Schrödinger cats in a waveguide at ultrastrong coupling
• Universal spatial correlations in the anisotropic Kondo screening cloud: analytical insights and numerically exact results from a coherent state expansion
• The reaction coordinate mapping in quantum thermodynamics
• Entanglement Hamiltonian of the 1+1-dimensional free, compactified boson conformal field theory
• Bath engineering of a fluorescing artificial atom with a photonic crystal
• Multiphoton Scattering Tomography with Coherent States
• Photon-instanton collider implemented by a superconducting circuit
• Fractional Quantum Zeno Effect Emerging from Non-Hermitian Physics
• Self-protected polariton states in photonic quantum metamaterials
• Soliton Confinement in a Quantum Circuit
• Electrical Current from Quantum Vacuum Fluctuations in Nano-engines
• Tunable spin/charge Kondo effect at a double superconducting island connected to two spinless quantum wires
• Variational study of two-impurity spin-boson model with a common Ohmic bath: Ground-state phase transitions
• Tunable ohmic environment using Josephson junction chains
• The Ohmic two-state system from the perspective of the interacting resonant level model: Thermodynamics and transient dynamics
• Dynamical renormalization group approach to the spin-boson model
• Dynamics of a Qubit in a High-Impedance Transmission Line from a Bath Perspective
• Marginal quenches and drives in Tomonaga-Luttinger liquids
• Inelastic decay from integrability
• Tuning the inductance of Josephson junction arrays without SQUIDs
• Non-equilibrium quantum transport through a dissipative resonant level
• Direct detection of down-converted photons spontaneously produced at a single Josephson junction
• Microwave Scattering in the Subohmic Spin-Boson Systems of Superconducting Circuits
• Strongly coupled quantum Otto cycle with single qubit bath
• Functional Renormalization Group Approach to Circuit Quantum Electrodynamics
• Quantum simulation of the tricritical Ising model in tunable Josephson junction ladders
• Frustration-induced anomalous transport and strong photon decay in waveguide QED
• Detecting Photon-Photon Interactions in a Superconducting Circuit
• Quantum Electronic Circuits for Multicritical Ising Models
• Effects of quasiparticle tunneling in a circuit-QED realization of a strongly driven two-level system
• Equilibrium Dynamics of the Sub-Ohmic Spin-boson Model Under Bias
• Quantum system dynamics with a weakly nonlinear Josephson junction bath
• Quantum simulation of the microscopic to macroscopic crossover using superconducting quantum impurities
• Photon-instanton scattering in a superconducting circuit: Beyond the very high impedance regime