Quantum Computation in a radio single mode cavity: the dissipative Jaynes and Cummings Model

Our aim is to give an account, trough an analysis of a number of papers by F.Petruccione, H.J.Charmicael, J.C. Raimond and their contemporaries, of the specific answer that we gave to the problem of Open Quantum Systems dynamical evolution and how this idea evolves and develops in physical research and in the scientific debate of the following decades. Permanent solution should not been accepted from physical research, but analysis of the real work of scientists, of the difficulties they face and the ever changing solutions they offer is, we believe, part of our understanding of science and an indispensable basis for further methodological inquiries. In this paper we have chosen to analyze a dissipative Jaynes-Cummings model assuming the common electrodynamics free field for the bipartite system and an another independent bath for the cavity, so taking into account loosing of energy because of the imperfect mirrors. The Nud theorem application leads to predict new cooperative effects between the atom and the cavity mode as the creation of conditional transient entanglement, tending to become stationary as the coupling constant take a well defined value.