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

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• 作者：M. Sebawe Abdalla ; E. M. Khalil ; A. S.-F. Obada…
• 关键词：external classical fields ; atom–atom interaction ; entanglement ; linear entropy ; variance Squeezing
• 刊名：Journal of Russian Laser Research
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：37
• 期：1
• 页码：10-22
• 全文大小：355 KB
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• 作者单位：M. Sebawe Abdalla (1)
  E. M. Khalil (2) (3)
  A. S.-F. Obada (2) (3)
  S. Sanad (4)
  
  1. Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia
  2. Mathematics Department, Faculty of Science, Al-Azher University, Nassr City, 11884, Cairo, Egypt
  3. Mathematics Department, Faculty of Science (Girls Branch), Al-Azhar University, Nasr City, 11884, Cairo, Egypt
  4. Mathematics Department, Faculty of Science, Taif University, P.O. Box 888, Taif, 21974, Saudi Arabia
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Applied Optics, Optoelectronics and Optical Devices
  Laser Technology and Physics and Photonics
  Microwaves, RF and Optical Engineering
  Russian Library of Science
  
• 出版者：Springer New York
• ISSN：1573-8760

文摘

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.