  Recent advances in experimental techniques allow one to create a quantum
point contact between two Fermi superfluids in cold atomic gases with a tunable
transmission coefficient. In this Letter we propose that three distinct
behaviors of charge transports between two Fermi superfluids can be realized in
this single setup, which are the multiple Andreev reflection, the self-trapping
and the Josephson oscillation. We investigate the dynamics of atom number
difference between two reservoirs for different initial conditions and
different transmission coefficients, and present a coherent picture of how the
crossover between different regimes takes place. Our results can now be
directly verified in current experimental system.
