International Journal of Theoretical Physics

, Volume 57, Issue 9, pp 2615–2627 | Cite as

Entangled Two Two-Level Atom in the Presence of External Classical Fields

  • E. M. KhalilEmail author
  • S. Abedel-Khalek


In this contribution, we investigate a TTLAs (two two-level atoms) in interaction with an electromagnetic field in presence of the external classical fields. The general solution of the time evolution operator is obtained and used to derive the density matrix operator. The temporal evolution of the atomic inversion, the degree of entanglement measured by the negativity, as well as the single atom entropy squeezing are discussed. We consider the atomic system at either the upper or Bell states, while the field in the coherent state. It has been shown that the coupling parameter g (the coupling of the external classical fields) gets more effective for the case in which the g is not equal to zero. Also for a strong coupling parameter g the superstructure phenomenon can be reported. The results shown that for increase the value of the classical external fields parameter leads to the entanglement between the atoms and the fields gets stronger. Also it has shown that for specific value of the classical external fields the system never reaches the pure state except during the revival periods.


External classical fields Entropy squeezing Entanglement Negativity 



The authors would like to thank the deanship of scientific research at Taif University to support this research (no.1-438-5752) and encourage researchers to continue the scientific research.


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Authors and Affiliations

  1. 1.Mathematics Department, Faculty of ScienceTaif UniversityTaifSaudi Arabia
  2. 2.Mathematics Department, Faculty of ScienceAl-Azher UniversityNassr CityEgypt
  3. 3.Mathematics Department, Faculty of ScienceSohag UniversitySohagEgypt

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