THERMAL SCIENCE

International Scientific Journal

Eman Hilal

,

Sadah Alkhateeb

,

Sayed Abel-Khalek

,

Eied Mahmoud Khalil

,

Amjaad Almowalled

ENTANGLEMENT AND GEOMETRIC PHASE OF THE COHERENT FIELD INTERACTING WITH A THREE TWO-LEVEL ATOMS IN THE PRESENCE OF NON-LINEAR TERMS

ABSTRACT
We study the interaction of a three two-level atoms with a one-mode optical coherent field in coherent state in the presence of non-linear Kerr medim. The three atoms are initially prepared in upper and entangled states while the field mode is in a coherent state. The constants of motion, three two-level atoms 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 three two-level atoms 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 the optical coherent field.
KEYWORDS
non-linear Kerr medium, three two-level atoms, entanglement, von Neumann entropy, Mandel parameter
PAPER SUBMITTED: 2020-04-14
PAPER REVISED: 2020-06-05
PAPER ACCEPTED: 2020-06-15
PUBLISHED ONLINE: 2020-10-25
DOI REFERENCE: https://doi.org/10.2298/TSCI20S1237H
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2020, VOLUME 24, ISSUE Supplement 1, PAGES [S237 - S245]
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Entanglement and geometric phase of the coherent field interacting with a three two-level atoms in the presence of non-linear terms

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