We study the controllable single-photon scattering via a one-dimensional waveguide which is coupled to a two-level emitter and a single-mode cavity simultaneously. The emitter and the cavity are also coupled to each other and form a three-level system with cyclic transitions. As a result, the phase of emitter-cavity coupling strength serves as a sensitive control parameter. When the emitter and cavity locate at the same point of the waveguide, we demonstrate the Rabi splitting and quasidark-state-induced perfect transmission for the incident photons. More interestingly, when they locate at different points of the waveguide, a controllable nonreciprocal transmission can be realized. Furthermore, we demonstrate that our theoretical model is experimentally feasible with currently available technologies.
II. MODEL AND SINGLE-PHOTON SCATTERINGAs schematically shown in Fig. 1, we study the system of a linear waveguide, which is coupled to a singlemode cavity and a two-level emitter, simultaneously. The