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Journal of Russian Laser Research

Some Nonclassical Effects of Two Three-Level Atoms Interacting with SU(1) Quantum System

A.‐S. F. Obada, M. M. A. Ahmed, M. A. El-Deberky, R. N. Rabea

Published Sep 1, 2020• 1 citation
Publisher
DOI
10.1007/s10946-020-09899-1

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•Jan 1, 2013•0 citations
In this paper, we follow the model presented in our previous work [J. Opt. Soc. Am. B30, 1109 (2013)], in which the interaction between a Λ-type three-level atom and a quantized two-mode radiation field in a cavity in the presence of nonlinearities was studied. After giving a brief review of the procedure for obtaining the state vector of the atom-field system, we investigated some further interesting and important physical features of the whole system state, which are of particular interest to the quantum optics field of research, i.e., the number-phase entropic uncertainty relation (based on the two-mode Pegg–Barnett formalism) and a few of the nonclassicality signs that consist of sub-Poissonian statistics, Cauchy–Schwartz inequality, and two types of squeezing phenomena. During our presentation, the effects of intensity-dependent coupling, deformed Kerr medium, and the detuning parameters on the depth and domain of each of the mentioned nonclassical criteria of the considered quantum system are described in detail. The results show that each of the mentioned nonclassicality aspects can be obtained by appropriately choosing the related parameters.
The nonclassical properties of light and atomic dynamics are studied. The system considered are two level atom interact with a quantized field in a high quality cavity, which is recognized as the Jaynes-Cumming Model. The time- and intensity-dependent atom-field coupling are applied to the system, with different initial field states and initial atomic states. We also extend the system for three level atom in a cavity, and include the dissipative mechanism in the system. We consider the laser driven three level atom in a cavity coupled to a reservoir. Interesting effects of the transient coupling are analyzed through the collapse-revival pattern in population inversion, while the nonclassicality of cavity field is studied through the features in the evolution ofWigner function. The inversion of initial superposed atomic state seems to be independent of initial classical fields but can be stimulated by the Schrodinger cat field. In two level system, the oscillatory coupling coefficient can prolong the occurrence of collapse, in analogy to the Zeno effect.The intensity atom-field coupling duration is an important parameter for controlling atomic inversion and producing frozen nonclassical light in the cavity after the atom-field coupling ceases. The theory developed will provide useful physical insights for future experimental work and enhance significant knowledge on the nonclassicality of light in matter-wave interaction. The research results will particularly benefit quantum information technology.