  We study the quantum squeezing produced in self-induced transparency in a
photonic crystal fiber by performing a fully quantum simulation based on the
positive $P$ representation. The amplitude squeezing depends on the area of the
initial pulse: when the area is $2\pi$, there is no energy absorption and no
amplitude squeezing. However, when the area is between 2$\pi$ and 3$\pi$, one
observes amplitude-dependent energy absorption and a significant amount of
squeezing. We also investigate the effect of damping and temperature: the
results indicate that a heightened atom-pulse coupling, caused by an increase
in the spontaneous emission ratio reduces the amplitude squeezing.
