AN INVESTIGATION OF A NONLOCAL ENTANGLEMENT OF TWO UNCOUPLED ATOMS EMBEDDED IN A COHERENT CAVITY FIELD AND THE ASSOCIATED PHASE SPACE DISTRIBUTION: ONE QUANTUM NONLINEAR PROCESS

Abstract

Entanglement properties of two uncoupled atoms embedded in a coherent field distribution through one quantum transition process are studied. A case of non-linear Hamiltonian of the problem is considered through which the effect of non-linear media is illustrated. Moreover, the effect of the frequency difference between the inter-atomic transition and the electromagnetic field is also analyzed. We show that, adjusting the considered parameters of the non-linear media and frequency difference leads to a strong control of the degree of entanglement where excellent periodicity of evolution with significant amplitudes maxima of entanglement can be obtained that is very important in predicting the behavior of transmitted information through the application of various information processing schemes. We present a detailed and comparative study of atom–atom entanglement for two cases corresponding to different injections of the two atoms one by one into the cavity field. In addition, we present an answer to the question: How is the quantum phase space structure for a composite system related to the entanglement characteristics of the corresponding quantum system? We demonstrate how can the entanglement in nonlinear tripartite systems be strongly associated with a delocalization in the phase space distribution.