Single-Photon Transport Properties in Coupled-Resonator Waveguide with Nonlocal Coupling to a Whispering-Gallery Resonator Interacting with Two Separated Atoms

We investigate the single-photon transport properties in a one-dimensional coupled-resonator waveguide non-locally coupled to a whispering-gallery resonator embedded with two separated two-level atoms based on the real-space approach. The control of single-photon transport is realized by modulating the detuning between two separated atoms, phase differences, and the symmetric/asymmetric nonlocal couplings. The multi-frequency photon-filter is obtained, and the influences of dissipation effects on single-photon transmission spectra and the phase shift are also discussed.