Correlated two-photon scattering in a one-dimensional waveguide coupled to two- or three-level giant atoms
Abstract
We study the two-photon scattering processes in a one-dimensional waveguide coupled to a two- or three-level giant atom, respectively. The accumulated phase shift between the two coupling points can be utilized to alter the scattering processes. We obtain the exact interacting two-photon scattering wavefunction of these two systems following the Lippmann-Schwinger formalism, from which the analytical expressions of incoherent power spectra and second-order correlations are also derived. The incoherent spectrum, defined by the correlation of the bound state, serves as a useful indication of photon-photon correlation. The second-order correlation function gives a direct measure of photon-photon correlation. For photons scattered by the two-level giant atom, the accumulated phase shift can be used to improve photon-photon correlation,and adjust the evolution of the second-order correlation. In the system of the three-level giant atom, the photon-photon correlation can be substantially increased. Moreover, the photon-photon interactions and correlation distance of scattered photons can be further enhanced by tuning the accumulated phase shift.
Keywords
Cite
@article{arxiv.2306.13836,
title = {Correlated two-photon scattering in a one-dimensional waveguide coupled to two- or three-level giant atoms},
author = {Wenju Gu and He Huang and Zhen Yi and Lei Chen and Lihui Sun and Huatang Tan},
journal= {arXiv preprint arXiv:2306.13836},
year = {2023}
}