Squeezing in a three-level Jaynes-Cummings model
Abstract The evolution of the state vector of a system composed of a cascade three-level atom and a single-mode field with arbitrary detuning and initial condition has been obtained. The quantum fluctuations of the field are presented. The contribution of single- and two-photon transitions to the squeezing of the field is discussed. The dependence of the squeezing on initial intensities of the field and detuning are given.
The main objective of this article is to study dynamic of the ::: three-dimensional Boussinesq equations with the periodic boundary ::: condition.We prove that when the Rayleigh number $R$ crosses the ::: first critical Rayleigh number $R_c$, the Rayleigh-Benard problem ::: bifurcates from the basic state to an global attractor $\Sigma$, which is homeomorphic to $S^3$.