Dynamics of a single trapped ion inside a nonideal QED cavity at zero temperature

The single ion system in Paul trap was described which was coupled to cavity electromagnetic field and vibrational states to determine entanglement generation between two fields at zero temperature. An analytical solution for density operator was obtained which permitted simple analysis and easy determination of swapping fidelity as function of cavity loss. The damping influence in transfer of even and odd superposition of coherent states was also observed. The solution of master equation determined complete analytical treatment which allowed complete analysis of states.