Abstract
We introduce the problem of three types of interaction between an N-level quantum system and a two-level atom where three coupling parameters are involved. The system can be deduced from the Heisenberg chain. The canonical transformation is used to remove two coupling parameters from the system and consequently it is reduced to atom atom interaction. The wave function is calculated using the evolution operator and hence we have managed to obtain the expectation value of some dynamical operators. During our study of the atomic inversion we noted that the collapses period is shifted up when we take the effect of lambda(2) into consideration. While it is shifted up and down in the presence of lambda(3). The atomic angle plays a crucial role for controlling the degree of entanglement. For the variance squeezing we noted that the coupling parameter lambda(2) shows amounts of squeezing more than the case of lambda(3). Similar behavior is noted for the entropy squeezing. (C) 2015 The Authors. Published by Elsevier Inc.