TY - JOUR TI - Entanglement and geometric phase of the coherent field interacting with a three two-level atoms in the presence of non-linear terms AU - Hilal Eman AU - Alkhateeb Sadah AU - Abdel-Khalek Sayed AU - Khalil Eied Mahmoud AU - Almowalled Amjaad JN - Thermal Science PY - 2020 VL - 24 IS - 11 SP - 39 EP - 48 PT - Article AB - We study the interaction of a three two-level atoms (3-2LA) with a one-mode op­tical coherent field in coherent state in the presence of non-linear Kerr medium. The three atoms are initially prepared in upper and entangled states while the field mode is in a coherent state. The constants of motion, 3-2LA and field density matrix are obtained. The analytic results are employed to perform some investigations of the temporal evolution of the von Neumann entropy as measure of the degree of entanglement between the 3-2LA and optical coherent field. The effect of the detuning and the initial atomic states on the evolution of geometric phase and en­tanglement is analyzed. Also, we demonstrate the link between the geometric phase and non-classical properties during the evolution time. Additionally the effect of detuning and initial conditions on the Mandel parameter is studied. The obtained results are emphasize the impact of the detuning and the initial atomic states of the feature of the entanglement, geometric phase and photon statistics of theoptical coherent field.
Due to the mistake of the Guest Editor in the issue Thermal Science 2020 Volume 24, Issue Suppl. 1, two versions of the same paper have been published, one version before revision and other version after correction according to reviewers comments. Thus, we've retracted this version of the paper. The remaining version is available at following link, along with appropriate Corrigendum.