Abstract We 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.Abstract We 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.

Optical and Quantum ElectronicsDec 17, 20221 citation

Wave-particle duality using the Compton effect

Lucas da Silva Pollyceno, A. D. Ribeiro

arXiv:2005.02939Physics Letters AAug 12, 20203 citations

\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.