Correlated Cooper pair transport and microwave photon emission in the dynamical Coulomb blockade

Abstract

We study theoretically electromagnetic radiation emitted by inelastic Cooper-pair tunneling. We consider a dc-voltage-biased superconducting transmission line terminated by a Josephson junction. We show that the generated continuous-mode electromagnetic field can be expressed as a function of the time-dependent current across the Josephson junction. The leading-order expansion in the tunneling coupling, similar to the "$P(E)$-theory", has previously been used to investigate the photon emission statistics in the limit of sequential (independent) Cooper-pair tunneling. By explicitly evaluating the system characteristics up to the fourth-order in the tunneling coupling, we account for dynamics between consecutively tunneling Cooper pairs. Within this approach we investigate how temporal correlations in the charge transport can be seen in the first- and second-order coherences of the emitted microwave radiation.

20 pages, 10 figures. PRB Editors' Suggestion

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Cited by in corpus (21)

• Microwave photonics with superconducting quantum circuits
• Quantum simulation of the spin-boson model with a microwave circuit
• Dispersive thermometry with a Josephson junction coupled to a resonator
• Fock-state stabilization and emission in superconducting circuits using dc-biased Josephson junctions
• Multiplying and detecting propagating microwave photons using inelastic Cooper-pair tunneling
• A bright on-demand source of anti-bunched microwave photons based on inelastic Cooper pair tunneling
• Generating entangled quantum microwaves in a Josephson-photonics device
• Injection locking and synchronization in Josephson photonics devices
• Quantum Dynamics of a Josephson Junction-Driven Cavity Mode System in the Presence of Voltage Bias Noise
• Statistics of radiation due to non-degenerate Josephson parametric down conversion
• Creating photon-number squeezed strong microwave fields by a Cooper-pair injection laser
• Engineering Arbitrary Hamiltonians in Phase Space
• Inelastic scattering of microwave radiation in the dynamical Coulomb blockade
• Photon-pair blockade in a Josephson-photonics circuit with two nondegenerate microwave resonators
• Charge-photon transport statistics and short-time correlations in a single quantum dot-resonator system with arbitrarily large coupling parameter
• Perturbative Framework for Engineering Arbitrary Floquet Hamiltonian
• Diagrammatic description of a system coupled strongly to a bosonic bath
• Analysis of a single-mode waveguide at sub-terahertz frequencies as a communication channel
• Radiation statistics of a degenerate parametric oscillator at threshold
• Entangling continuous variables with a qubit array
• Free-space sub-terahertz field-polarization controlled by waveguide-mode-selection