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

Yui Kuramochi, Yu Watanabe, Masahito Ueda

Research output: Contribution to journalArticlepeer-review

Abstract

We analyze a simultaneous continuous measurement of photon-counting and homodyne detection. Our stochastic master equation or stochastic Schrödinger 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. A 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.

Original languageEnglish
Article number425303
JournalJournal of Physics A: Mathematical and Theoretical
Volume46
Issue number42
DOIs
Publication statusPublished - Oct 25 2013
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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