Photon emission statistics of a driven microwave cavity

Abstract

Recent experimental advances have made it possible to detect individual quantum jumps in open quantum systems, such as the tunneling of single electrons in nanoscale conductors or the emission of photons from non-classical light sources. Here, we investigate theoretically the statistics of photons emitted from a microwave cavity that is driven resonantly by an external field. We focus on the differences between a parametric and a coherent drive, which either squeezes or displaces the cavity field. We employ a Lindblad master equation dressed with counting fields to obtain the generating function of the photon emission statistics using a theoretical framework based on Gaussian states. We then compare the distribution of photon waiting times for the two drives as well as the $g^{(2)}$-functions of the outgoing light, and we identify important differences between these observables. In the long-time limit, we analyze the factorial cumulants of the photon emission statistics and the large-deviation statistics of the emission currents, which are markedly different for the two drives. Our theoretical framework can readily be extended to more complicated systems, for instance, with several coupled microwave cavities, and our predictions may be tested in future experiments.

12 pages, 6 figures

References in corpus (17)

• Microwave photonics with superconducting quantum circuits
• Generating Single Microwave Photons in a Circuit
• Quantum Non-demolition Detection of Single Microwave Photons in a Circuit
• Measurements of the Correlation Function of a Microwave Frequency Single Photon Source
• Electron Waiting Times in Mesoscopic Conductors
• Factorial cumulants reveal interactions in counting statistics
• Non-equilibrium Entanglement and Noise in Coupled Qubits
• Bunching and anti-bunching in electronic transport
• Distributions of electron waiting times in quantum-coherent conductors
• Electron waiting times in coherent conductors are correlated
• Full counting statistics of the photocurrent through a double quantum dot embedded in a driven microwave resonator
• Quantum jump approach to microscopic heat engines
• Tunneling statistics for analysis of spin-readout fidelity
• Higher-Order Photon Statistics as a New Tool to Reveal Hidden Excited States in a Plasmonic Cavity
• Statistical analysis of spin switching in coupled spin-crossover molecules
• Inverse counting statistics based on generalized factorial cumulants
• Nonequilibrium phase transition in a single-electron micromaser

Cited by in corpus (6)

• Thermal Purcell effect and cavity-induced renormalization of dissipations
• Photon counting statistics in Gaussian bosonic networks
• Dissipation and non-thermal states in cryogenic cavities
• Evolution of Gaussian mixed states under the Markovian master equation for a driven quantum oscillator
• Heat, work, and fluctuations in a driven quantum resonator
• Stochastic unravelings for Heisenberg picture and trace-nonpreserving dynamics