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International Journal of Theoretical Physics

Single-Photon Scattering Grating in a Waveguide-Cavity System

J. C. Huang, Yan‐Ling Li, Zhonghui Xu, You-Wen Huang

Published Apr 22, 2016• 1 citation
Publisher
DOI
10.1007/s10773-016-3023-x

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ABSTRACT We propose a scheme for the single‐photon routing in a hybrid system composed of the cavity‐trapping‐two‐atoms system (CTAS) coupled to two one‐dimensional coupled‐resonator waveguides. By employing the discrete‐coordinate scattering method, exact analytical expressions for the single‐photon scattering amplitudes at the four ports are derived. The results demonstrate that the single‐photon routing characteristics depend not only on the coupling positions, coupling strengths, and local coupling phases between the CTAS and the waveguides, but also critically on the eigenstate structure of the CTAS. Further analysis reveals a clear correspondence between the single‐photon scattering spectrum and the eigenstates of the CTAS, which allows for the classification of the eigenstates involved in cross‐waveguide transport as bright and dark states. By tuning the local coupling phases, coherent enhancement of a specific bright state can be achieved, enabling deterministic single‐photon directional routing. Our work provides a theoretical reference for studies of single‐photon routing in cavity quantum electrodynamics and superconducting circuit platforms.
Abstract Single‐mode hollow‐core waveguides loaded with atomic ensembles offer an excellent platform for light–matter interactions and nonlinear optics at low photon levels. We review and discuss possible approaches for incorporating mirrors, cavities, and Bragg gratings into these waveguides without obstructing their hollow cores. With these additional features controlling the light propagation in the hollow‐core waveguides, one could potentially achieve optical nonlinearities controllable by single photons in systems with small footprints that can be integrated on a chip. We propose possible applications such as single‐photon transistors and superradiant lasers that could be implemented in these enhanced hollow‐core waveguides.