Entanglement of Two Coupled Atoms in the Presence of a Time-Dependent External Magnetic Field


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We study the problem of a time-dependent nonuniform magnetic field in the Heisenberg chain. We consider two cases: a single two-level atom and N-level atoms affecting by the magnetic field. We obtain the wave function and use it for calculating the expectation values of the dynamical operators, more precisely, the atomic inversion, in order to study the phenomena of revivals and collapses. Furthermore, we obtain the expectation value of other operators of the SU(2) group and discuss the phenomenon of squeezing. We show that the phase angle η and the detuning parameter δ are the most substantial parameters of the model under consideration.

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M. Abdalla

Mathematics Department, College of Science, King Saud University

编辑信件的主要联系方式.
Email: m.sebaweh@physics.org
沙特阿拉伯, Riyadh, 11451

E. Khalil

Mathematics Department, Faculty of Science, Al-Azher University; Mathematics Department, Faculty of Science (Girls Branch), Al-Azhar University

Email: m.sebaweh@physics.org
埃及, Nassr City, Cairo, 11884; Nasr City, Cairo, 11884

A. Obada

Mathematics Department, Faculty of Science, Al-Azher University; Mathematics Department, Faculty of Science (Girls Branch), Al-Azhar University

Email: m.sebaweh@physics.org
埃及, Nassr City, Cairo, 11884; Nasr City, Cairo, 11884

S. Sanad

Mathematics Department, Faculty of Science, Taif University

Email: m.sebaweh@physics.org
沙特阿拉伯, Taif, 21974

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