Waveguide QED: Many-body bound-state effects in coherent and Fock-state scattering from a two-level system

Huaixiu Zheng, Daniel J. Gauthier, Harold U. Baranger
2010 Physical Review A. Atomic, Molecular, and Optical Physics  
Strong coupling between a two-level system (TLS) and bosonic modes produces dramatic quantum optics effects. We consider a one-dimensional continuum of bosons coupled to a single localized TLS, a system which may be realized in a variety of plasmonic, photonic, or electronic contexts. We present the exact many-body scattering eigenstate obtained by imposing open boundary conditions. Multi-photon bound states appear in the scattering of two or more photons due to the coupling between the photons
more » ... between the photons and the TLS. Such bound states are shown to have a large effect on scattering of both Fock and coherent state wavepackets, especially in the intermediate coupling strength regime. We compare the statistics of the transmitted light with a coherent state having the same mean photon number: as the interaction strength increases, the one-photon probability is suppressed rapidly, and the two- and three-photon probabilities are greatly enhanced due to the many-body bound states. This results in non-Poissonian light.
doi:10.1103/physreva.82.063816 fatcat:causefxjtrfxtaqwwhqbgnamxe