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- Title
Generalized photon-added associated hypergeometric coherent states: characterization and relevant properties.
- Authors
Sodoga, Komi; Aremua, Isiaka; Hounkonnou, Mahouton Norbert
- Abstract
Abstract: This paper presents the construction of a new set of generalized photon-added coherent states related to associated hypergeometric functions. These states satisfy all required mathematical and physical properties. The associated Stieltjes power-moment problem is explicitly solved by using Meijer’s G-function and the Mellin inversion theorem. Relevant quantum optical and thermal characteristics are investigated. The formalism is applied to particular cases of the associated Hermite, Laguerre, Jacobi polynomials and hypergeometric functions. Their corresponding states exhibit sub-Poissonian photon number statistics. Graphical abstract:
- Subjects
PHOTONS; HYPERGEOMETRIC functions; QUANTUM optical phenomena; PROPERTIES of matter; JACOBI polynomials
- Publication
European Physical Journal D (EPJ D), 2018, Vol 72, Issue 10, p1
- ISSN
1434-6060
- Publication type
Article
- DOI
10.1140/epjd/e2018-90230-8