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We analyze and discuss the quantum noise in signal-recycled laserinterferometer gravitational-wave detectors, such as Advanced LIGO, using aheterodyne readout scheme and taking into account the optomechanical dynamics.Contrary to homodyne detection, a heterodyne readout scheme can simultaneouslymeasure more than one quadrature of the output field, providing an additionalway of optimizing the interferometer sensitivity, but at the price ofadditional noise. Our analysis provides the framework needed to evaluatewhether a homodyne or heterodyne readout scheme is more optimal for secondgeneration interferometers from an astrophysical point of view. As a moretheoretical outcome of our analysis, we show that as a consequence of theHeisenberg uncertainty principle the heterodyne scheme cannot convertconventional interferometers into (broadband) quantum non-demolitioninterferometers.Comment: 16 pages, 8 figure

Quantum noise in laser-interferometer gravitational-wave detectors with a heterodyne readout scheme