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arXiv:2001.05827 · International Journal of Theoretical Physics

Single-Photon Transport in One-Dimensional Coupled-Resonator Waveguide with Second-Order Nonlinearity oupling to a Nanocavity Containing a Two-Level Atom and Kerr-Nonlinearity

Hongyu Lin, Xiaoqian Wang, Zhihai Yao, Dandan Zou

Published Jul 1, 2020• 2 citations
arXivHTMLPDF
DOI
10.1007/s10773-020-04498-x

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We investigate controllable single-photon transport in a one-dimensional coupled-resonator waveguide coupled to two nanocavities interacting with atoms. The reflection and transmission coefficients for a single photon propagating in such a system are deduced by using the discrete coordinates approach. The resonator–nanocavity coupling strength, atom–nanocavity coupling coefficient, and the detuning between the incident photon and the atom, respectively, which affect the transport properties of the single photon, are analyzed. It is found that some useful information, such as the atom–nanocavity coupling strength, can be extracted from the single-photon transmission spectrum under proper parameter settings. We also study how the coupling between two nanocavities affects the single-photon transmission property.
Single-photon scattering properties in a coupled-resonator waveguide (CRW) coupled to a nanocavity embedded with a two-level system are investigated theoretically. Two cases are considered: when the nanocavity is locally coupled to one resonator and when it is nonlocally coupled to two resonators of the CRW. The transmission and reflection amplitudes are obtained for the two cases, respectively. The results show that the position of perfect transmission remains unchanged, while the position of perfect reflection is shifted due to the nonlocal coupling. An asymmetric Fano resonance appears in the transmission spectrum and can be controlled by adjusting the coupling strengths in the nonlocal coupling case. The effects of the coupling strengths and dissipation on the transport properties are also analyzed for the two cases.