Photon higher-order squeezing effects of the q analogue of a single-mode field interacting with a -type three-level atom

Zhang Hui-Hui, Shen Hua-Jun, Jingtao Zhou +1 more

The nonlinear theory of interaction between the q analogue of a single-mode field and a Ξ-type three-level atom has been established. And the formal solution of the Schrödinger equation in the representation and its average number are obtained. Then, the photon squeezing effects are studied through numerical calculation. The results show that the q deformation nonlinear action has a lot of influence on the quantum coherence and quantum properties. When q approaches 1, the theory reduces to the common linear theory.

M. A. Antón, F. Carreño, Óscar G. Calderón

Eman M. A. Hilal, S. Abdel‐Khalek

Liu Yong-liang

This paper studied the atomic dipole higher-order squeezing in the system of a three-level atom interacting with a single mode radiation vacuum field. Numerical method is adopted to discuss atomic initial coherence on the atomic dipole higher-order squeezing effect.

Gomera Biyazn, Misrak Getahun

V. I. Koroli, S. A. Palistrant, Andrei Nistreanu

We study the two-photon interaction between a three-level equidistant radiator (atom, molecule) with different dipole transitions and the single-mode cavity field. It is supposed that the three-level radiator is laser cooled and trapped into the ground vibrational state, in which the vibrational quantum number [Formula: see text]. In the proposed two-photon Jaynes–Cummings model (JCM) of a three-level atom at the initial moment [Formula: see text], the quantized cavity field is prepared in the squeezed vacuum state and the three-level radiator in the first excited state [Formula: see text]. By using the exact analytical solution for the state-vector of the coupled atom-field system, the amplitude-squared squeezing of the quantized cavity field is examined as a function of the [Formula: see text] and [Formula: see text] parameters. In this situation, higher-order squeezing has the tendency towards oscillations, but the exact periodicity of these oscillations is violated by the analogy with the second-order squeezing.