Phase sensitivity by fast light propagation using compton scattering and Kerr non-linearity

Abstract

AbstractWe theoretically investigated the sub-luminal and super-luminal light propagation by introducing compton scattering and Kerr non-linear effects to a four level atomic system. Slow light propagation is observed at a group index of 3918 in the transparency region. The slow light propagation is tuned to fast light propagation at group index 0.2, using compton scattering angle of $$\varphi =\pi /6$$ φ = π / 6 . The surperluminality is further enhanced with compton scattering angle at the resonance frequency. Under the Kerr nonlinearity, the slow light propagation at a group index of 3918 is enhanced to fast light propagation at group index of $$2\times 10^6$$ 2 × 10 6 at the resonance frequency. The group index is reduced to $$6.56281\times 10^{-5}$$ 6.56281 × 10 - 5 in the presence of both Kerr non-linearity and compton scattering. In the presence of compton scattering, the Phase shift at $$\pi /2$$ π / 2 without Kerr nonlinearity is $$7\times 10^{-8}$$ 7 × 10 - 8 radian and with Kerr nonlinearity its value is $$1.7\times 10^{-9}$$ 1.7 × 10 - 9 radian at resonance frequency. This demonstrate that introducing Kerr effect and compton scattering lead to significant modifications in the phase shift.