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We experimentally study optical homodyne and heterodyne detections with asame setup, which is flexible to manipulate the signal sideband modulation.When the modulation only generate a single signal sideband, the light fieldmeasurement by mixing the single sideband at $\omega_{0}+\Omega$ with a stronglocal oscillator at the carrier frequency $\omega_{0}$ on a beam splitterbecome balanced heterodyne detection. When two signal sidebands at$\omega_{0}\pm\Omega$ are generated and the relative phase of the two sidebandsis locked, this measurement corresponds to optical balanced homodyne detection.With this setup, we may confirm directly that the signal-to-noise ratio withheterodyne detection is two-fold worse than that with homodyne detection. Thiswork will have important applications in quantum state measurement and quantuminformation.

Experimental study of balanced optical homodyne and heterodyne detection by controlling sideband modulation