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Bulletin of the Russian Academy of Sciences Physics

Lie algebras in quantum optics and molecular spectroscopy

Alexander V. Gorokhov

Published Feb 1, 2011• 12 citations
Publisher

Abstract

We briefly review some applications of dynamical Lie algebras and groups and their associated coherent states in quantum optics and molecular spectroscopy.
DOI
10.3103/s1062873811020110

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The theory of generalized coherent states associated with the SU(2) and SU(1,1) Lie algebras is discussed and applied in an investigation of possible reductions of fluctuations. In the framework of a system of N two-level atoms the squeezing of angular-momentum [SU(2)] fluctuations is exhibited for optical coherent transients involving the photon echo. The SU(1,1) fluctuations are discussed and established for general two-photon processes involving dynamical variables different from the creation and annihilation operators.