Quantum squeezing via self-induced transparency in a photonic crystal fiber

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 <a:math xmlns:a="http://www.w3.org/1998/Math/MathML"><a:mi>P</a:mi></a:math> representation. The amplitude squeezing depends on the area of the initial pulse: When the area is <b:math xmlns:b="http://www.w3.org/1998/Math/MathML"><b:mrow><b:mn>2</b:mn><b:mi>π</b:mi></b:mrow></b:math>, there is no energy absorption and no amplitude squeezing. However, when the area is between <c:math xmlns:c="http://www.w3.org/1998/Math/MathML"><c:mrow><c:mn>2</c:mn><c:mi>π</c:mi></c:mrow></c:math> and <d:math xmlns:d="http://www.w3.org/1998/Math/MathML"><d:mrow><d:mn>3</d:mn><d:mi>π</d:mi></d:mrow></d:math>, one observes amplitude-dependent energy absorption and a significant amount of squeezing. We also investigate the effect of damping, detuning, and temperature: The results indicate that a heightened atom-pulse coupling, caused by an increase in the spontaneous emission ratio, reduces the amplitude squeezing.