Two-time correlators for propagating squeezed microwave in transients
arXiv:1804.08789 · doi:10.1103/PhysRevA.99.043810
Abstract
We analyze two-time correlators as the most natural characteristic of a propagating quadrature-squeezed field in the transient regime. The considered system is a parametrically driven resonator with a time-dependent drive. Using a semiclassical approach derived from the input-output theory, we develop a technique for calculation of the two-time correlators, which are directly related to fluctuations of the measured integrated signal. While in the steady state the correlators are determined by three parameters (as for the phase-space ellipse describing a squeezed state), four parameters are necessary in the transient regime. The formalism can be generalized to weakly nonlinear resonators with additional coherent drive. We focus on squeezed microwave fields relevant to the measurement of superconducting qubits; however, our formalism is also applicable to optical systems. The results can be readily verified experimentally.
arXiv comment10 pages, 2 figures
References in corpus (24)
- Introduction to Quantum Noise, Measurement and Amplification
- Observation of the Dynamical Casimir Effect in a Superconducting Circuit
- Amplification and squeezing of quantum noise with a tunable Josephson metamaterial
- Phase preserving amplification near the quantum limit with a Josephson Ring Modulator
- Observing single quantum trajectories of a superconducting qubit
- Observation of quantum jumps in a superconducting artificial atom
- Dynamical Casimir effect in a Josephson metamaterial
- Generating Entangled Microwave Radiation Over Two Transmission Lines
- Photon State Tomography for Two-Mode Correlated Itinerant Microwave Fields
- Measurements of the Correlation Function of a Microwave Frequency Single Photon Source
- Measurement-induced state transitions in a superconducting qubit: Beyond the rotating wave approximation
- Quantum state tomography of an itinerant squeezed microwave field
- Strong environmental coupling in a Josephson parametric amplifier
- Output Field-Quadrature Measurements and Squeezing in Ultrastrong Cavity-QED
- Observation of Strong Radiation Pressure Forces from Squeezed Light on a Mechanical Oscillator
- Magnetic resonance with squeezed microwaves
- Resonance fluorescence from an artificial atom in squeezed vacuum
- Quantum correlations of light due to a room temperature mechanical oscillator for force metrology
- Stroboscopic qubit measurement with squeezed illumination
- Heisenberg-limited qubit readout with two-mode squeezed light
- Coherence and multimode correlations from vacuum fluctuations in a microwave superconducting cavity
- Measuring a transmon qubit in circuit QED: dressed squeezed states
- Catch-Disperse-Release Readout for Superconducting Qubits
- Hybrid phase-space--Fock-space approach to evolution of a driven nonlinear resonator