The single-photon transmission spectrum under the symmetrical atom–photon couplings (<em>g</em><sub>1</sub> = <em>g</em><sub>2</sub> = 0.2)

<p><strong>Figure 2.</strong> The single-photon transmission spectrum under the symmetrical atom–photon couplings (<em>g</em><sub>1</sub> = <em>g</em><sub>2</sub> = 0.2). 2θ = 2π for the red line, 2θ = π for the blue line, and 2θ = 0.4π for the green line. The coupling strengths <em>g</em><sub>1</sub> and <em>g</em><sub>2</sub> are in units of <em>V</em><sub>g</sub>.</p> <p><strong>Abstract</strong></p> <p>Based on the symmetric, asymmetric atom–photon couplings and the phase difference between two separated atoms, single-photon transport properties in an optical waveguide coupled with two separated two-level atoms are theoretically investigated. The transmission and reflection amplitudes for the single-photon propagation in such a hybrid system are deduced via a real-space approach. Several new phenomena such as phase-coupled induced transparency, single-photon switches, symmetric and asymmetric bifrequency photon attenuators are analyzed. In addition, the dissipation effect of such a hybrid system is also discussed.</p>