Photon emission statistics of a driven microwave cavity
arXiv:2305.01986 · doi:10.1103/PhysRevResearch.5.033091
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 -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.
arXiv comment12 pages, 6 figures
References in corpus (52)
- The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics
- Microwave photonics with superconducting quantum circuits
- Quantum Thermodynamics
- Continuous variable quantum information: Gaussian states and beyond
- Quantum jumps of light recording the birth and death of a photon in a cavity
- 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
- Quantum non-demolition detection of an itinerant microwave photon
- Thermal radiation and amplified spontaneous emission from a random medium
- Using a qubit to measure photon number statistics of a driven, thermal oscillator
- Hybrid Microwave-Cavity Heat Engine
- Counting statistics of photons produced by electronic shot noise
- Electron Waiting Times in Mesoscopic Conductors
- Quantum nondemolition detection of a propagating microwave photon
- Factorial cumulants reveal interactions in counting statistics
- Observation of quantum jumps of a single quantum dot spin using sub-microsecond single-shot optical readout
- Non-equilibrium Entanglement and Noise in Coupled Qubits
- Light emission from strongly driven many-body systems
- Bunching and anti-bunching in electronic transport
- Efficient and Continuous Microwave Photodetection in Hybrid Cavity-Semiconductor Nanowire Double Quantum Dot Diodes
- Negative Full Counting Statistics Arise From Interference Effects
- Distributions of electron waiting times in quantum-coherent conductors
- Detection of interactions via generalized factorial cumulants in systems in and out of equilibrium
- Floquet Theory of Electron Waiting Times in Quantum-Coherent Conductors
- Itinerant microwave photon detector
- Full counting statistics of energy fluctuations in a driven quantum resonator
- Current noise spectrum of a quantum shuttle
- Thermodynamic uncertainty relations for coherently driven open quantum systems
- Electron waiting times in coherent conductors are correlated
- Photon counting statistics of a microwave cavity
- Statistics of radiation at Josephson parametric resonance
- Real-time observation of Cooper pair splitting showing strong non-local correlations
- Short-time counting statistics of charge transfer in Coulomb-blockade systems
- Quantum trajectory analysis of single microwave photon detection by nanocalorimetry
- Nanoscale Quantum Calorimetry with Electronic Temperature Fluctuations
- Probabilistically Violating the First Law of Thermodynamics in a Quantum Heat Engine
- Time-dependent factorial cumulants in interacting nano-scale systems
- Full counting statistics of the photocurrent through a double quantum dot embedded in a driven microwave resonator
- Pushing the limits in real-time measurements of quantum dynamics
- Revealing attractive electron-electron interaction in a quantum dot by full counting statistics
- Quantum jump approach to microscopic heat engines
- Controlled emission time statistics of a dynamic single-electron transistor
- Tunneling statistics for analysis of spin-readout fidelity
- Energetics of microwaves probed by double quantum dot absorption
- Higher-Order Photon Statistics as a New Tool to Reveal Hidden Excited States in a Plasmonic Cavity
- Statistics of heat exchange between two resistors
- Statistical analysis of spin switching in coupled spin-crossover molecules
- Inverse counting statistics based on generalized factorial cumulants
- Violation of detailed balance for charge-transfer statistics in Coulomb-blockade systems
- Nonequilibrium phase transition in a single-electron micromaser
- Independent and coherent transitions between antiferromagnetic states of few-molecule systems
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