Exact treatment of the Jaynes–Cummings model under the action of an external classical field |
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| Authors: | M Sebawe Abdalla EM Khalil AS-F Obada |
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| Institution: | aMathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia;bMathematics Department, College of Science, Taibah University, Al-MaDinah, Saudi Arabia;cMathematics Department, Faculty of Science, Al-Azher University, Nassr City 11884, Cairo, Egypt |
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| Abstract: | We consider the usual Jaynes–Cummings model (JCM), in the presence of an external classical field. Under a certain canonical transformation for the Pauli operators, the system is transformed into the usual JCM. Using the equations of motion in the Heisenberg picture, exact solutions for the time-dependent dynamical operators are obtained. In order to calculate the expectation values of these operators, the wave function has been constructed. It has been shown that the classical field augments the atomic frequency ω0 and mixes the original atomic states. Changes of squeezing from one quadrature to another is also observed for a strong value of the coupling parameter of the classical field. Furthermore, the system in this case displays partial entanglement and the state of the field losses its purity. |
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| Keywords: | Jaynes Cummings model Classical field Canonical transformations |
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