On the evolution of superposition of squeezed displaced number states with the multiphoton Jaynes Cummings model
Faisal A A El-Orany, A-S Obada · Journal of Optics B Quantum and Semiclassical Optics · 2003
In this paper we discuss the quantum properties for superposition of squeezed displaced number states against the multiphoton Jaynes–Cummings model (JCM). In particular, we investigate atomic inversion, photon number distribution, purity, quadrature squeezing, the Mandel Q parameter and the Wigner function. We show that quadrature squeezing for the three-photon absorption case can exhibit revivals and collapses typical of those occurring in atomic inversion in the one-photon absorption case. Also, we prove that for odd number absorption parameter there is a connection between the evolution of the atomic inversion and the evolution of the Wigner function at the origin in phase space. Furthermore, we show that the nonclassical states whose Wigner function values at the origin are negative will always be nonclassical when they evolve through the JCM with even absorption parameter. We demonstrate that various types of cat states can be generated via this system.