We explore extended Lambda systems driven by two resonant laser fields in a
strong regime characterized by the fact that the Rabi frequencies are much
bigger than the difference between the two field frequencies. We show that
a specific coherent superposition of the lower states is trapped during th
e dynamics. This extended trapped state is different from the trapped state
usually encountered in the rotating-wave-approximation regime. We show the
robustness of this trapping in the sense that it is stable with respect to
significant deviations of the field parameters (frequencies and amplitudes
).