The single-photon transmission spectrum under symmetrical atom–photon couplings and 2θ = 2π (a), 2θ = π (b), 2θ = 0.4π (c) with Ω1 = 0.9 Ω (left atom) and Ω2 = 1.1 Ω (right atom) and Ω = 1.0

Figure 4. The single-photon transmission spectrum under symmetrical atom–photon couplings and 2θ = 2π (a), 2θ = π (b), 2θ = 0.4π (c) with Ω1 = 0.9 Ω (left atom) and Ω2 = 1.1 Ω (right atom) and Ω = 1.0. (d) The energy-level configuration of the Λ-type three-level atom. V1 = g12/2 vg = 0.2 and V2 = g22/2 vg. The coupling strengths g1 and g2 are in units of Vg.

Abstract

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.