  We report a systematic approach for establishing a complementary relationship
between the interference visibility, concurrence, and predictability in the
crossing of induced and stimulated coherences of two-mode squeezed coherent
states. This is achieved using a double-path interferometer involving two
independent four-wave mixing (FWM) atomic samples generated via spontaneous and
stimulated FWM processes from a warm atomic ensemble of 87Rb. We demonstrate
that the transition from quantum to classical behavior can be characterized by
the induced coherence effect, distinguishing between the two-mode squeezed
vacuum and coherent states. Moreover, our experimental scheme, employing two
FWM atomic ensembles with long-coherent photons, provides valuable insights
into the complementarity of which-path information in induced and stimulated
coherences.
