Coherent states of nonlinear algebras: applications to quantum optics

Citation
V. Sunilkumar et al., Coherent states of nonlinear algebras: applications to quantum optics, J OPT B-QUA, 2(2), 2000, pp. 126-132
Citations number
45
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
JOURNAL OF OPTICS B-QUANTUM AND SEMICLASSICAL OPTICS
ISSN journal
14644266 → ACNP
Volume
2
Issue
2
Year of publication
2000
Pages
126 - 132
Database
ISI
SICI code
1464-4266(200004)2:2<126:CSONAA>2.0.ZU;2-7
Abstract
We present a general unified approach for finding the coherent stares (CSs) of polynomially deformed algebras such as the quadratic and Higgs algebras , which are: relevant for various multiphoton processes in quantum optics. We give a general procedure: to map these deformed algebras to appropriate Lie algebras. This is used, for the noncompact cases, to obtain the annihil ation operator eigenstates, by finding the canonical conjugates of these op erators. Generalized CSs, in the Perelomov sense, also follow from this con struction. This allows us to explicitly construct CSs associated with vario us quantum optical systems.