Landau-Zener tunneling of fermi superfluid gases in deep BEC regime

The dynamical phenomena of the Landau-Zener tunneling of the superfluid fermi gases in a double-well potential in deep BEC regime is investigated in this paper. The contribution of the higher order term representing the lowest approximation of beyond mean field corrections is considered. By using the corresponding classical Hamiltonian of the system, the fixed points and adiabatic energy levels are studied. The critical parameter for the number of fixed points evolution from two to four is obtained. For the nonlinear Landau-Zener tunneling, the tunneling probability with sweeping rate α is numerically given. At the adiabatic limit, the tunneling probability is not zero in certain regime, while it goes to zero in the other regime. Exponential dependence of the transition probability on the sweeping rate α in certain case is obtained.