### Abstract

An examination is made of the conditions under which the detection record generated by the quantum trajectory simulation of the output of a detector continuously monitoring an open Markovian system is ergodic, i.e. where the time averages of a single realization of such a record will yield the same result as an ensemble average over many such realizations. It is shown, in the case of discrete counting, that ergodicity holds in the mean and to first order if the long time steady state of the system is independent of the initial state of the system. A two-photon dissipative process is used as an example of a situation in which ergodicity does not hold.

Original language | English |
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Title of host publication | DIRECTIONS IN QUANTUM OPTICS |

Editors | HJ Carmichael, RJ Glauber, MO Scully |

Place of Publication | Berlin; Heidelberg |

Publisher | Springer, Springer Nature |

Pages | 358-369 |

Number of pages | 12 |

ISBN (Print) | 3540411879 |

Publication status | Published - 2001 |

Event | TAMU-ONR Workshop on Quantum Optics - JACKSON Duration: 26 Jul 1999 → 30 Jul 1999 |

### Publication series

Name | LECTURE NOTES IN PHYSICS |
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Publisher | SPRINGER-VERLAG BERLIN |

Volume | 561 |

ISSN (Print) | 0075-8450 |

### Conference

Conference | TAMU-ONR Workshop on Quantum Optics |
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City | JACKSON |

Period | 26/07/99 → 30/07/99 |

### Keywords

- STOCHASTIC DIFFERENTIAL-EQUATIONS
- LIGHT

### Cite this

*DIRECTIONS IN QUANTUM OPTICS*(pp. 358-369). (LECTURE NOTES IN PHYSICS; Vol. 561). Berlin; Heidelberg: Springer, Springer Nature.