Iranian Journal of Physics Research

‎ Quantum dynamics of a f-deformed cavity-field beyond the rotating wave approximation

Document Type : Original Article

Author

M Daeimohammad

Department of Physics, Najafabad Branch, Islamic Azad University, Najafabad, Iran

https://doi.org/10.47176/ijpr.21.1.81109
Abstract
The aim of this study is to investigate dynamical properties of a two-mode f-deformed cavity- field ‎coupled to an effective two-level atom with and without the rotating wave approximation. The first ‎section discusses the theoretical model of the interaction between a two-mode cavity-field and an ‎effective two-level atom within the framework of an f-DJCM without the rotating wave ‎approximation. After that, we obtain the reduced density matrix of the cavity-field with and without ‎the rotating-wave approximation. Then, we have investigated the effect of the counter-rotating ‎terms on temporal evolution of various non-classical properties of the cavity-field, i.e., photon-‎counting statistics, the cross correlation between the modes of the field, and the quantum ‎fluctuations of the quadrature components. Particularly, we compare the numerical result for three ‎different values of the deformation parameter q (q=1, q=1.1, q=0.9) with and without applying the rotating ‎wave approximation. By using of the numerical method, we concluded that even under the ‎condition in which the RWA is considered to be valid, there are the significant effects of virtual-‎photon field on the photon-counting statistics, the cross correlation between the modes of the ‎field, and the quantum fluctuations of the quadrature components‎.

Keywords

f-deformed Jaynes-Cummings model
rotating wave approximation
counter-rotating terms
‎virtual-photon processes‎
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