EVOLUTION OF ENTROPY IN THE NONLINEAR JAYNES-CUMMINGS MODEL

In this paper we study the correlation between the external and the internal state of the trapped atoms by means of the nonlinear Jaynes-Cummings Hamiltonian, in which we pay special attention to the influence of the nonlinearity. We find that the correlation is reflected by the entropy of the vibration mode, which is strongly affected by the nonlinearity. The nonlinearity, embodied by the nonlinear Rabi frequency, exhitits various effects, of which the most important feature is the appearance of the second local minimum value of the entropy in each collapse-revival cycle of the atomic inversion.