V. Giovannetti et D. Vitali, Phase-noise measurement in a cavity with a movable mirror undergoing quantum Brownian motion - art. no. 023812, PHYS REV A, 6302(2), 2001, pp. 3812
We study the dynamics of an optical mode in a cavity with a movable mirror
subject to quantum Brownian motion. We study the phase-noise power spectrum
of the output light, and we describe the mirror Brownian motion, which is
responsible for the thermal-noise contribution, using the quantum Langevin
approach. We show that the standard quantum Langevin equations, supplemente
d with the appropriate non-Markovian correlation functions, provide an adeq
uate description of Brownian motion.