### Abstract

The quantum Input-Output formalism of Gardiner and Collett is used to derive the rate equation describing the photoelectron counting statistics of an electromagnetic field output from a high-Q optical cavity. The evolution of the cavity field is assumed to be governed by an arbitrary Hamiltonian for a single mode of the field. The resulting equation is shown to conform with one previously derived on intuitive grounds, using purely population statistical arguments, As an explicit example, the solution for a freely-evolving cavity field is computed.

Original language | English |
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Pages (from-to) | 44-52 |

Number of pages | 9 |

Journal | Lecture Notes in Economics and Mathematical Systems |

Volume | 370 |

Publication status | Published - 1991 |

### Keywords

- quantum physics
- electromagnetic fields

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## Cite this

JEFFERS, J., & SHEPHERD, T. J. (1991). Population monitoring and the quantum input-output formalism.

*Lecture Notes in Economics and Mathematical Systems*,*370*, 44-52.