Number-phase entropic squeezing and nonclassical properties of a three-level atom interacting with a two-mode field: Intensity-dependent coupling, deformed Kerr medium and detuning effects

Abstract

In this paper, we follow our presented model in J. Opt. Soc. Am. B {\bf 30}, 1109--1117 (2013), in which the interaction between a $\Lambda$-type three-level atom and a quantized two-mode radiation field in a cavity in the presence of nonlinearities is studied. After giving a brief review on the procedure of obtaining the state vector of the atom-field system, some further interesting and important physical features (which are of particular interest in the quantum optics field of research) of the whole system state, i.e., the number-phase entropic uncertainty relation (based on the two-mode Pegg-Barnett formalism) and some of the nonclassicality signs consist of sub-Poissonian statistics, Cauchy-Schwartz inequality and two kinds of squeezing phenomenon are investigated. 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 studied, in detail. It is shown that each of the mentioned nonclassicality aspects can be obtained by appropriately choosing the related parameters.

16 pages

References in corpus (5)

• Number-phase entropic uncertainty relations and Wigner functions for solvable quantum systems with discrete spectra
• On the non-classicality features of new classes of nonlinear coherent states
• New nonlinear coherent states associated to inverse bosonic and $f$-deformed ladder operators
• Gazeau$-$Klauder squeezed states associated with solvable quantum systems
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Cited by in corpus (3)

• Tripartite entanglement dynamics and entropic squeezing of a three-level atom interacting with a bimodal cavity field
• Dynamics of entanglement of a three-level atom in motion interacting with two coupled modes including parametric down conversion
• Entropy squeezing and atomic inversion in the $k$-photon Jaynes-Cummings model in the presence of Stark shift and Kerr medium: full nonlinear approach