Two-photon scattering and correlation in a four-terminal waveguide system

Scattering and correlation properties of a two-photon (TP) pulse are studied in a four-terminal waveguide system, i.e., two one-dimensional waveguides connected by a Jaynes-Cummings emitter (ICE). The wave function approach is utilized to exactly calculate the real-time dynamic evolution of the TP transport. When the width of the incident TP Gaussian pulse is much larger than the photon wavelength, the TP transmission spectra approach that of the corresponding single photon cases and are almost independent of the pulse width. On the contrary, as the pulse width is comparable to the photon wavelength, the TP transmission and correlation both show strong dependence on the pulse width. The resonant scattering due to the JCE and the photon interference together determine the TP correlation. When the distance between the TPs is small, the TP correlations between any two terminals for the scattered TP pulse are much different from those for the incident TP pulse and therefore, such a four-terminal waveguide system provides a way to control the TP correlation. (C) 2021 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

Automated summary

The study examines the scattering and correlation properties of a two-photon pulse in a four-terminal waveguide system where two one-dimensional waveguides are connected by a Jaynes-Cummings emitter (ICE). It is found that when the width of the incident two-photon Gaussian pulse is much larger than the photon wavelength, the transmission spectra approach that of single photon cases. However, when the pulse width is comparable to the photon wavelength, both transmission and correlation show strong dependence on the pulse width. Resonant scattering and photon interference play significant roles in determining the two-photon correlation in the system.