
Entanglement and geometric phase of the coherent field interacting with a three two-level atoms in the presence of non-linear terms
Author(s) -
E. M. Hilal,
Sadah A. Alkhateeb,
S. AbdelKhalek,
Mohamed Khalil,
Amjaad Almowalled
Publication year - 2020
Publication title -
thermal science/thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci20s1039h
Subject(s) - quantum entanglement , geometric phase , physics , coherent states , time evolution , field (mathematics) , quantum mechanics , phase (matter) , density matrix , von neumann entropy , measure (data warehouse) , entropy (arrow of time) , quantum , mathematics , database , computer science , pure mathematics
We study the interaction of a three two-level atoms (3-2LA) with a one-mode op?tical 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 en?tanglement 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.