en تخصصي Special پژوهشي Research In this paper, we propose a theoretical scheme for the generation of non-classical states of the cavity field in a system of a single trapped atom via controlling the Lamb-Dicke parameter. By exploiting the super-operator method, we obtain an analytical expression for the density operator of the system by which we examine the dynamical behaviors of the atomic population inversion, the phase-space Husimi Q-function as well as the von Neumann quantum entropy of the cavity-field. The results reveal that at certain periods of time one of the cavity-field quadratures may be squeezed and the two sub-systems of the trapped atom and the cavity field are entangled. Moreover, we find that the atomic spontaneous emission and the cavity-field damping destroy the nonclassical characteristics of the cavity field. Quantum state engineering, non-classical states, trapped atom, Lamb-Dicke approximation. 31 39 http://ijop.ir/browse.php?a_code=A-10-369-1&slc_lang=en&sid=1 mohammadhossein naderi mhnaderi@sci.ui.ac.ir 1003194753284600969 1003194753284600969 No somayeh salimian rizi salimian.somaye@yahoo.com 1003194753284600970 1003194753284600970 Yes