Correlated coherent states in the Jaynes-Cummings model: I

In the representation of dressed states, which diagonalizes the Hamiltonian in the Jaynes-Cummings model, the Bose operator for excitation annihilation Â, the spin operator $\hat \Sigma \_In the representation of dressed states, which diagonalizes the Hamiltonian in the Jaynes-Cummings model, the Bose operator for excitation annihilation ?, the spin operator , and the corresponding Hermitian-conjugate operators are found. Using these operators, correlated coherent states were constructed and statistical properties of a field mode and an atom in these states are studied. Nonclassical field properties, such as the deviation of the probability distribution for the number of photons from the Poissonian distribution, its time dependence, and the squeezing of quadrature field components are found. For small interaction coefficients k, all these characteristics of the model vary weakly in time in the resonance case. __________ Translated from Optika i Spektroskopiya, Vol. 90, No. 6, 2001, pp. 928–934. Original Russian Text Copyright ? 2001 by Verlan, Razumova.