Coherent States of Non-Linear Algebras:Application to Quantum Optics

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dc.creatorSunilKumar, V.
dc.creatorBambah, B. A.
dc.creatorJagannathan, R.
dc.creatorPanigrahi, P. K.
dc.creatorSrinivasan, V.
dc.date2000-03-24
dc.date.accessioned2026-07-07T05:59:46Z
dc.date.available2026-07-07T05:59:46Z
dc.descriptionWe present a general unified approach for finding the coherent states 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 non compact cases, to obtain the annihilation operator coherent states, by finding the canonical conjugates of these operators. Generalized coherent states, in the Perelomov sense also follow from this construction. This allows us to explicitly construct coherent states associated with various quantum optical systems.
dc.description14 pages, Latex. This is a thoroughly revised version of our earlier paper quant-ph/9905010, which is much more comprehensive. This version is accepted for publication in Journal of Optics B-Quantum and Semiclassical Optics 2 (2000),Special Issue
dc.identifierhttps://arxiv.org/abs/quant-ph/0003115
dc.identifierhttp://arxiv.org/abs/quant-ph/0003115
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/88803
dc.subjectQuantum Physics
dc.titleCoherent States of Non-Linear Algebras:Application to Quantum Optics
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