Statistical estimations of a five-level atom influenced by a two-mode field and nonlinear Kerr medium

Abstract

The nonclassical behavior of the optical model has important applications in numerous quantum information fields. The suggested optical model in this study is based on a five-level atom (5LA) influenced by a two-mode quantized field (2MQF) inside a high-Q cavity that is filled with three types of nonlinear Kerr media. The nonlinear optical model has been solved analytically in which the components of this optical model are in perfect resonance. By considering the initial state of 5LA is in the upper state (excited state), whilst the initial state of 2MQF is in the coherent state. Some useful statistical measurements such as population inversion, Shannon entropy, second-order correlation, as well as Cauchy–Schwarz inequality that corresponds to P-functions are studied and discussed. The effects of the Kerr parameters on these statistical measurements are analyzed. All proposed statistical measurements confirm the existence of nonclassical behavior with time except for some small-time intervals.

Keywords

• Five-level atom
• Nonlinear Kerr medium
• Two-mode quantized field
• Shannon entropy
• Cauchy–Schwarz inequality