An application of the measurement of expectation values for the photon annihilation and creation operators

Abstract

Motivated by the readout scheme in interferometric gravitational-wave detectors, we consider the device which measures the expectation value of the photon annihilation and creation operators for output optical field from the main interferometer. As the result, the eight-port homodyne detection is rediscovered as such a device. We evaluate the noise spectral density in this measurement. We also briefly discuss on the application of our results to the readout scheme of gravitational-wave detectors. We call this measurement scheme to measure these expectation values as "double balanced homodyne detection."

5 pages, 2 figures (v1); Explanations on the application are added, reference added (v2); Title and abstract are slightly changed, some explanations are added (v3)

References in corpus (1)

• Double balanced homodyne detection

Cited by in corpus (2)

• Extension of the input-output relation for a Michelson interferometer to arbitrary coherent-state light sources: --- Gravitational-wave detector and weak-value amplification ---
• Vacuum fluctuations and balanced homodyne detection through ideal multi-mode photon number or power counting detectors