Coherent Control of Photon Transmission in a Coupled-Resonator Waveguide Embedded in a Semiconductor Quantum Dot

We theoretically investigate the single photon transport in a coupled resonator waveguide embedded in a semiconductor quantum dot with a V-type system. The transmission and reflection amplitudes are obtained by using a discrete coordinates approach. It is shown that the photon transport properties can be controlled by the energy detuning between the two excited states of the V-type system, and the coupling strength between the photon and the V-type system. We also compare the single photon transport properties in the waveguide with sinusoidal and linear dispersion relations.