Simultaneous continuous measurement of photon-counting and homodyne detection on a free photon field: dynamics of state reduction and the mutual influence of measurement backaction

DOI DOI Web Site Web Site 参考文献36件 オープンアクセス

書誌事項

公開日
2013-10-07
資源種別
journal article
権利情報
  • http://iopscience.iop.org/info/page/text-and-data-mining
  • http://iopscience.iop.org/page/copyright
DOI
  • 10.1088/1751-8113/46/42/425303
  • 10.48550/arxiv.1212.0968
公開者
IOP Publishing

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説明

We analyze a simultaneous continuous measurement of photon-counting and homodyne detection. The stochastic master equation or stochastic Schr��dinger equation describing the measurement process includes both jump-type and diffusive-type stochastic increments. Analytic expressions of the wave function conditioned on homodyne and photon-counting records are obtained, yielding the probability density distributions and generating functions of the measurement records. Formula for the expectation values of the homodyne records conditioned on a photon-counting event is also derived which quantitatively describes the measurement backaction of photon-counting on the homodyne output. The obtained results are applied to typical initial states --- coherent, number, thermal, and squeezed states. Monte Carlo simulations of the measurement processes are also presented to demonstrate the dynamics of the combined measurement process.

19 pages, 2 figures

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