Abstract
We study the phase-dependent propagation of a strong, resonant pump and two weak symmetrically detuned fields in a two-level system with population decay through a cascade of intermediate levels. As this system forms a closed loop, the propagation is phase-dependent. For an initial total phase PHI=0, there is constructive interference between the two weak fields, leading to parametric amplification on propagation. When PHI=pi, destructive interference occurs, leading to absorption of the weak fields on propagation. When the weak fields are initially equal in intensity, and PHI=0,pi, PHI remains constant on propagation. For other initial phases, PHI changes on propagation. Dramatic phase changes from pi to 0 can occur when the weak fields are initially unequal in intensity and PHI=pi.
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