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

摘要

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 $\Lambda$-typethree-level atom and a quantized two-mode radiation field in a cavity in thepresence of nonlinearities is studied. After giving a brief review on theprocedure of obtaining the state vector of the atom-field system, some furtherinteresting and important physical features (which are of particular interestin the quantum optics field of research) of the whole system state, i.e., thenumber-phase entropic uncertainty relation (based on the two-mode Pegg-Barnettformalism) and some of the nonclassicality signs consist of sub-Poissonianstatistics, Cauchy-Schwartz inequality and two kinds of squeezing phenomenonare investigated. During our presentation, the effects of intensity-dependentcoupling, deformed Kerr medium and the detuning parameters on the depth anddomain of each of the mentioned nonclassical criteria of the considered quantumsystem are studied, in detail. It is shown that each of the mentionednonclassicality aspects can be obtained by appropriately choosing the relatedparameters.