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4 - Evolution

Published online by Cambridge University Press:  27 July 2023

Claude Fabre
Affiliation:
Sorbonne Université, Paris
Rodrigo G. Cortiñas
Affiliation:
Yale University, Connecticut
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Summary

This chapter presents the theoretical framework that allows us to describe evolutions in the general case using Kraus operators as the main tool. It considers in detail the phenomenon of decoherence and gives examples of such maps. It shows that any evolution can be considered as unitary by going in a larger Hilbert space. The Lindblad equation for the evolution of the density matrix appears as a particular case of evolution in the short memory or Markov approximation. Up-jumps and down-jumps are also described within this framework using cavity damping, spontaneous emission, and the shelving technique as examples.

Type
Chapter
Information
Quantum Processes and Measurement
Theory and Experiment
, pp. 44 - 65
Publisher: Cambridge University Press
Print publication year: 2023

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  • Evolution
  • Claude Fabre, Sorbonne Université, Paris
  • With contributions by Rodrigo G. Cortiñas
  • Book: Quantum Processes and Measurement
  • Online publication: 27 July 2023
  • Chapter DOI: https://doi.org/10.1017/9781108774918.005
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  • Evolution
  • Claude Fabre, Sorbonne Université, Paris
  • With contributions by Rodrigo G. Cortiñas
  • Book: Quantum Processes and Measurement
  • Online publication: 27 July 2023
  • Chapter DOI: https://doi.org/10.1017/9781108774918.005
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Evolution
  • Claude Fabre, Sorbonne Université, Paris
  • With contributions by Rodrigo G. Cortiñas
  • Book: Quantum Processes and Measurement
  • Online publication: 27 July 2023
  • Chapter DOI: https://doi.org/10.1017/9781108774918.005
Available formats
×