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Squeezed states of light have been successfully employed in interferometricgravitational-wave detectors to reduce quantum noise, thus becoming one of themost promising options for extending the astrophysical reach of the generationof detectors currently under construction worldwide. In these advancedinstruments, quantum noise will limit sensitivity over the entire detectionband. Therefore, to obtain the greatest benefit from squeezing, the injectedsqueezed state must be filtered using a long-storage-time optical resonator, or"filter cavity", so as to realise a frequency dependent rotation of thesqueezed quadrature. Whilst the ultimate performance of a filter cavity isdetermined by its storage time, several practical decoherence and degradationmechanisms limit the experimentally achievable quantum noise reduction. In thispaper we develop an analytical model to explore these mechanisms in detail. Asan example, we apply our results to the 16 m filter cavity design currentlyunder consideration for the Advanced LIGO interferometers.

Decoherence and degradation of squeezed states in quantum filter cavities