Phase operator in quantum optics

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SUMMARY

The discussion centers on the phase operator in quantum optics, specifically its definition and the associated uncertainty relation with particle number. Prof. Balakrishnan's lecture on the quantization of free electromagnetic radiation highlights the complexities and deficiencies of the phase operator. A recommended resource is a comprehensive review book dedicated to the phase operator, which spans 500 pages. This material is essential for understanding the foundational aspects of quantum optics without delving into advanced correlation functions.

PREREQUISITES
  • Basic understanding of quantum optics principles
  • Familiarity with electromagnetic radiation quantization
  • Knowledge of uncertainty relations in quantum mechanics
  • Exposure to higher order correlation functions (optional for deeper insights)
NEXT STEPS
  • Read Prof. Balakrishnan's lecture on the quantization of free EM radiation
  • Explore the review book on the phase operator for in-depth knowledge
  • Investigate the implications of the uncertainty relation between phase and particle number
  • Study the deficiencies and challenges associated with the phase operator in quantum theory
USEFUL FOR

Students and researchers in quantum optics, physicists interested in the foundational aspects of quantum mechanics, and anyone seeking to understand the complexities of the phase operator and its implications in quantum theory.

kith
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I recently got interested in some aspects of quantum optics and have a basic question.

There is an uncertainty relation concerning the phase and the particle number of a mode. How is this phase observable defined?

Where can I read about such basic concepts without dwelling deeply into higher order correlation functions and the like?
 
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Prof. Balakrishnan gives a great lecture on the quantization of free EM radiation in a cube. In the end of the lecture, he discusses one simple possibility way define the phase operator and shows that it leads to serious problems:



All lectures on QT should be like that - interesting, careful, pointing out also deficiencies of the theory.

I have found that there is also this review:

http://www.crcpress.com/product/isbn/9781584887607.
 
Last edited by a moderator:
Thanks Jano, I am going to watch this. And wow to this review book, 500 pages about the phase operator alone. ;-)

Jano L. said:
All lectures on QT should be like that - interesting, careful, pointing out also deficiencies of the theory.
I completely agree.
 

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