Yui Kuramochi, Yu Watanabe, Masahito Ueda
We analyze a simultaneous continuous measurement of photon counting and homodyne detection. The stochastic master equation or stochastic Schr\"odinger equation describing the measurement process includes both jump-type and diffusive-type stochastic increments. The general theoretical framework of such combined measurement processes is established. Analytic expressions of the wave function conditioned on homodyne and photocount records are obtained, yielding the probability density distributions and generating functions of the measurement records. The obtained results are applied to typical initial conditions --- coherent, number, thermal, and squeezed states. Monte Carlo simulations of the measurement processes are also presented.
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http://arxiv.org/abs/1212.0968
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