2009/02/09 by Joseph Ben Geloun, Geloun, Joseph Ben, Mahouton Norbert Hounkonnou +1
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Laser-Matter Interactions and Applications #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Quantum optics and atomic interactions #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.0902.1369
Typo corrected, references added
openalex publication_date 2009/02/09 · arxiv created 2009/06/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper deals with an extension of our previous work [J. Phys. A: Math. Theor. \bf 40 F817] by considering an alternative construction of canonical and deformed vector coherent states (VCSs) of the Gazeau-Klauder type associated with generalized spin-orbit Hamiltonians. We define an annihilation operator which takes into account the finite dimensional space of states induced by the k-photon transition processes of the two-level atom interacting with the single-mode radiation field. The class of nonlinear VCSs (NVCSs) corresponding to the action of the annihilation operator is deduced and expressed in terms of generalized displacement operators. Various NVCSs including their "dual" counterparts are also discussed. Still by using the Hilbert space structure, a new family of NVCSs parameterized by unit vectors of the S3 sphere has been identified without making use of the annihilation operator.