Ergodicity of quantum trajectory detection records

JD Cresser*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference proceeding contribution

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 languageEnglish
Title of host publicationDIRECTIONS IN QUANTUM OPTICS
EditorsHJ Carmichael, RJ Glauber, MO Scully
Place of PublicationBerlin; Heidelberg
PublisherSpringer, Springer Nature
Pages358-369
Number of pages12
ISBN (Print)3540411879
Publication statusPublished - 2001
EventTAMU-ONR Workshop on Quantum Optics - JACKSON
Duration: 26 Jul 199930 Jul 1999

Publication series

NameLECTURE NOTES IN PHYSICS
PublisherSPRINGER-VERLAG BERLIN
Volume561
ISSN (Print)0075-8450

Conference

ConferenceTAMU-ONR Workshop on Quantum Optics
CityJACKSON
Period26/07/9930/07/99

Keywords

  • STOCHASTIC DIFFERENTIAL-EQUATIONS
  • LIGHT

Cite this

Cresser, JD. (2001). Ergodicity of quantum trajectory detection records. In HJ. Carmichael, RJ. Glauber, & MO. Scully (Eds.), DIRECTIONS IN QUANTUM OPTICS (pp. 358-369). (LECTURE NOTES IN PHYSICS; Vol. 561). Berlin; Heidelberg: Springer, Springer Nature.