Non-classical Effects And Quantum Entanglement In A System Of The Atom Interacting With Pólya Optical Field State

The quantum effect in a system of matter-light interaction is a fascinating topic in the field of the quantum optics.Many important quantum phenomena have been revealed theoretically and experimentally in the past decades.The definitions of some non-classical constructed state field are introduced by means of quantum optics theory.The researchers have a deep insight into the quantum features in the system of atom interacting with these constructed state fields.Pólya light field state is a typical constructed light field state expressing quantum state including binomial light field and negative binomial light effect.By adjusting parameters,it can exhibit whole process from binomial light field to intermediate state to negative binomial light field,both revealing some properties of binomial and negative binomial light fields and describing unique properties of intermediate state.Non-classical effects and quantum entanglement of the atom interacting with Pólya optical field state are studied by means of the full quantum theory in this paper.The main content of the paper is as follows:(1)In the first chapter,the definition of the Pólya state light field,quantum entanglement and its measurement methods,the basic theory of the atomic inversion and the information entropy squeezing are briefly introduced.(2)We study the time evolutions of the entanglement degree of two coupled atoms interacting with the Pólya state field by employing the concurrence method.The influences of the maximum photon number of the optical field,the optical field parameters and the number of the transition photons on the entanglement properties of the two coupled atoms in the system are analyzed.(3)With the multi-photon transition,the atomic inversion and linear entropy in a system of two coupled atoms interacting with the Pólya state are studied by means of the full quantum theory.The influences of the optical fieldparameters and the numbers of the transition photons on the atomic inversion and linear entropy are analyzed.(4)With the multi-photon transition,the information entropy squeezing properties of the atom interacting with the Pólya state in Jaynes-Cummings model are studied by means of the full quantum theory.The influences of the maximum photon number of the optical field,the optical field parameters,the numbers of the transition photons and the atomic initial on the information entropy squeezing of the atom are analyzed.(5)The conclusions are summarized in the last section.