en اپتیک کوانتمی، مخابرات کوانتمی و کامپیوترهای اپتیکی Quantum Optics, Quantum Communications, Quantom Computing پژوهشي Research <p style="text-align:justify"><span style="font-size:11pt"><span new="" roman="" style="font-family:" times=""><span style="font-weight:bold">Recently, we introduced the Mth nonlinear coherent state (MNCS), obtained by applying M times the number operator on the nonlinear coherent states (NCSs). Studying the interaction of such states with an atom is of great importance due to their notable nonclassical features. In this study, relying on the f-deformed Jaynes-Cummings model, we investigate the interaction between a two-level atom and a single-mode field, which is organized to be a MNCS. For this, the time evolution of population inversion and the nonclassical properties of the field, including the Mandel <i>q</i>-parameter, normal squeezing, and amplitude-squared squeezing, across various parameters and values of M is studied. It is found that in the presence of the intensity-dependent coupling and Kerr medium in the resonance condition, the nonclassical feature of squeezing occurs periodically during the interaction. Furthermore, sub-Poissonian photon statistics is also evident as a significant nonclassical feature. Finally, by measuring the field entropy for all the investigated cases, we examine the entanglement dynamics and determine the degree of atom-field entanglement. Additionally, a general comparison between the interaction of a two-level atom with the Mth coherent states (MCSs) and the interaction of a two-level atom with the MNCSs is presented.</span></span></span></p> F-Deformed Jaynes–Cummings, Model Mth nonlinear coherent states, Nonclassical properties, Quantum entanglement. 95 112 http://ijop.ir/browse.php?a_code=A-10-50-2&slc_lang=en&sid=1 Seyyed Majid Heydari sm.heydari@urmia.ac.ir 10031947532846005450 10031947532846005450 No Department of Physics, Urmia University, Urmia, Iran Akbar Jafari a.jafari@urmia.ac.ir 10031947532846005451 10031947532846005451 Yes Department of Physics, Urmia University, Urmia, Iran Omid Abbasi omid_abbasi61@pco.iaun.ac.ir 10031947532846005452 10031947532846005452 No Department of Physics, Faculty of Computer Engineering, Islamic Azad University, Najafabad Branch, Najafabad, Iran