Enhanced quadrature-phase squeezing due to group-velocity anomaly in photonic crystals

Summary form only given. In photonic crystals with spatially periodic dielectric constants, a variety of novel optical and quantum optical phenomena are expected to be realized. One of their peculiar features is the presence of those electromagnetic eigenmodes with extremely small group velocities (group-velocity anomaly) that leads to the enhancement of various optical processes. The phase-matching condition is relaxed in photonic crystals compared with uniform materials. Therefore nonlinear optics of the photonic crystals is a promising field for future experimental studies. In this paper, we believe we will report the first theoretical prediction of the enhancement of quadrature-phase squeezing due to optical parametric amplification by means of a perturbation theory based on a Green´s function formalism.