Reducing four-level two-mode Hamiltonian to an effective two-level Hamiltonian with the addition of kerr-like medium
El-Deberky, M., Ali, M. (2008). Reducing four-level two-mode Hamiltonian to an effective two-level Hamiltonian with the addition of kerr-like medium. EKB Journal Management System, 32(1), 1-20. doi: 10.21608/djs.2008.152954
Mervat. A. A. El-Deberky; Mona. F.M. Ali. "Reducing four-level two-mode Hamiltonian to an effective two-level Hamiltonian with the addition of kerr-like medium". EKB Journal Management System, 32, 1, 2008, 1-20. doi: 10.21608/djs.2008.152954
El-Deberky, M., Ali, M. (2008). 'Reducing four-level two-mode Hamiltonian to an effective two-level Hamiltonian with the addition of kerr-like medium', EKB Journal Management System, 32(1), pp. 1-20. doi: 10.21608/djs.2008.152954
El-Deberky, M., Ali, M. Reducing four-level two-mode Hamiltonian to an effective two-level Hamiltonian with the addition of kerr-like medium. EKB Journal Management System, 2008; 32(1): 1-20. doi: 10.21608/djs.2008.152954

Reducing four-level two-mode Hamiltonian to an effective two-level Hamiltonian with the addition of kerr-like medium

Delta Journal of Science
Article 2, Volume 32, Issue 1, June 2008, Page 1-20  XML PDF (1.21 MB)
Document Type: Research and Reference
DOI: 10.21608/djs.2008.152954
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Authors
Mervat. A. A. El-Deberky1; Mona. F.M. Ali2
1Mathematics Department, Faculty of Science, Al-Azhar University (Girls Section)
2Mathematics Department, Faculty of Science, Ain Shams University
Abstract
We consider a two-mode quantized field described in a coherent state interacting with a four-level atom. An effective Hamiltonian is obtained by adiabatically eliminating the intermediate two levels in a cascade and the e process. The influence of the Stark shifts kerr-like medium on the atomic inversion are examined, as well as on the field entropy, atomic purity and Mandel's Q-parameter. The results of the calculations are illustrated numerically
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