Skip to main content

Population Monitoring and the Quantum Input-Output Formalism

  • Conference paper
Stochastic Processes and their Applications

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 370))

  • 654 Accesses

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. S. K. Srinivasan, Point Process Models of Cavity Radiation and Detection, (Charles Griffin and Co., Ltd., London, 1988).

    Google Scholar 

  2. T. J. Shepherd, A model for photodetection of single-mode cavity radiation, Optica Acta,28, 567, (1981).

    Article  Google Scholar 

  3. T. J. Shepherd, Photoelectron counting — semklassical and population monitoring approaches, Optica Acta,31, 1399, (1984).

    Article  Google Scholar 

  4. M. J. Collett and C. W. Gardiner, Squeezing of intracavity and travelling-wave light fields produced in parametric amplification, Phys. Rev., 30, 1386, (1984).

    Article  Google Scholar 

  5. C. W. Gardiner and M. J. Collett, Input and output in damped quantum systems: quantum stochastic differential equations and the master equation, Phys. Rev. 31, 3761, (1985).

    Article  Google Scholar 

  6. E. Jakeman and T. J. Shepherd, Population statistics and the counting process, J. Phys. A 17, L 745, (1984).

    Google Scholar 

  7. H. P. Yuen and J. H. Shapiro, Optical communication with two-photon coherent states — Part III: quantum measurements realizable with photoemissive detectors, IEEE Trans. Inf. Theory, 26, 78, (1980).

    Article  Google Scholar 

  8. K. J. Blow, R. Loudon, S. J. D. Phoenix, and T. J. Shepherd, Continuum fields in quantum optics, Phys. Rev. A 42, 4102, (1990).

    Google Scholar 

  9. F. Ghielmetti, Some comments on the relation between photoelectron and photon statistics and on the scaling properties of laser light, Nuovo Cim. B 35, 243, (1976).

    Article  Google Scholar 

  10. W. H. Louisell, Quantum Statistical Properties of Radiation, (John Wiley and Sons, New York, 1973).

    Google Scholar 

  11. B. R. Mollow, Quantum theory of field attenuation, Phys. Rev. 168, 1896, (1968).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Jeffers, J., Shepherd, T.J. (1991). Population Monitoring and the Quantum Input-Output Formalism. In: Beckmann, M.J., Gopalan, M.N., Subramanian, R. (eds) Stochastic Processes and their Applications. Lecture Notes in Economics and Mathematical Systems, vol 370. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58201-1_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-58201-1_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54635-1

  • Online ISBN: 978-3-642-58201-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics