We study how interband coherence can be set up by an injection current and
a coherent pump-field. In the absence of the pump-field, the injection curr
ent is the only source to establish the interband coherence in a semiconduc
tor laser system. It shows that a strongly coupled high-Q microcavity has a
low lasing threshold value, which corresponds to the threshold intensity b
eing unity. When an external pump-field serving as another mechanism to cre
ate the interband coherence is applied, the threshold value of the injectio
n current can be lowered and it vanishes for sufficiently strong field. Whe
n the pump-field exceeds a threshold value, it is possible to achieve a bis
tability in the inversionless region.