| Vol. 53,
No. 5 November 1999 pp. 877-890 Linear amplifier via the displaced Fock states superposition GAMAL M ABD AL-KADER Mathematics Department,
Faculty of Science, Al-Azhar University, Nasr City 11884,
Cairo, Egypt Abstract. The linear amplifier with the superposition of displaced Fock states (DFS's) as an input field is discussed. The s-parameterized characteristic function (CF) of linear amplifier for the super-position of two DFS's is considered. Several quantum statistical expectation values for the output of linear amplifier are evaluated once the time dependent CF has been computed. The Glauber second-order coherence function is calculated. The squeezing properties of the output field are studied. The s-ordered quasiprobability distribution function (QDF) for the output of linear amplifier driven by DFS's superposition is investigated. The phase properties of the superposition of DFS's are studied. The s-parameterized phase distribution, obtained by integrating the s-parameterized QDF over radial variable is illustrated. Keywords. Nonclassical field states; Fock state; coherent; displaced number; antibunched; sub-Poissonian states; Schr¨ odinger cat states; phase distributions; phase measurements; linear amplifier. PACS Nos 42.50.Dv; 42.50.Vk; 03.65.Bz |