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Coherent States in Quantum Optics: An Oriented Overview

  • Jean-Pierre GazeauEmail author
Chapter
Part of the CRM Series in Mathematical Physics book series (CRM)

Abstract

In this survey, various generalizations of Glauber–Sudarshan coherent states are described in a unified way, with their statistical properties and their possible role in non-standard quantizations of the classical electromagnetic field. Some statistical photon-counting aspects of Perelomov SU(2) and SU(1, 1) coherent states are emphasized.

Keywords

Coherent states Quantum optics Quantization Photon-counting statistics Group theoretical approaches 

Notes

Acknowledgements

This research is supported in part by the Ministerio de Economía y Competitividad of Spain under grant MTM2014-57129-C2-1-P and the Junta de Castilla y León (grant VA137G18). The author is also indebted to the University of Valladolid. He thanks M. del Olmo (UVA) for helpful discussions about this review. He addresses special thanks to Y. Hassoumi (Rabat University) and to the Organizers of the Workshop QIQE’2018 in Al-Hoceima, Morocco, for valuable comments and questions which allowed to improve significantly the content of this review.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.APC, UMR 7164Univ Paris Diderot, Sorbonne Paris CitéParisFrance
  2. 2.Centro Brasileiro de Pesquisas FísicasRio de JaneiroBrazil

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