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A GENERALIZED JAYNES–CUMMINGS MODEL: NONLINEAR DYNAMICAL SUPERALGEBRA u(1/1) AND SUPERCOHERENT STATES

2000/07/31 by M. Daoud, Jamila Douari, J. Douari
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum optics and atomic interactions #Spectroscopy and Quantum Chemical Studies #hep-th

paper · pdf · doi:10.1142/s0217979203018302

published as Int. J. Mod. Phys. B17 (2003) 2473-2486 · 12 pages

openalex publication_date 2003/05/10 · arxiv created 2004/08/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The generalization of the Jaynes–Cummings (GJC) Model is proposed. In this model, the electromagnetic radiation is described by a Hamiltonian which generalizes the harmonic oscillator to take into account some nonlinear effects which can occur in the experimental situations. The dynamical superalgebra and supercoherent states of the related model are explicitly constructed. Relevant quantities (total number of particles, energy and atomic inversion) are computed.

Citations