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Coherent States in Quantum Optics: An Oriented Overview

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Integrability, Supersymmetry and Coherent States

Part of the book series: CRM Series in Mathematical Physics ((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.

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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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Authors and Affiliations

  1. APC, UMR 7164, Univ Paris Diderot, Sorbonne Paris Cité, Paris, France

    Jean-Pierre Gazeau

  2. Centro Brasileiro de Pesquisas Físicas, Rio de Janeiro, RJ, Brazil

    Jean-Pierre Gazeau

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  1. Jean-Pierre Gazeau
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Correspondence to Jean-Pierre Gazeau .

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Editors and Affiliations

  1. Department of Physics, Ankara University, Ankara, Turkey

    Şengül Kuru

  2. Department of Theoretical Physics, Atomic Physics and Optics, University of Valladolid, Valladolid, Spain

    Javier Negro

  3. Department of Theoretical Physics, Atomic Physics and Optics, University of Valladolid, Valladolid, Spain

    Luis M. Nieto

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Gazeau, JP. (2019). Coherent States in Quantum Optics: An Oriented Overview. In: Kuru, Ş., Negro, J., Nieto, L. (eds) Integrability, Supersymmetry and Coherent States. CRM Series in Mathematical Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-20087-9_3

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