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Fully quantum-mechanical analytic results for single-photon transport in a single-mode waveguide coupled to a whispering-gallery resonator interacting with a two-level atom

2009/01/26 by Jung‐Tsung Shen, Shanhui Fan, Shen, Jung-Tsung +1
Engineering · Physics and Astronomy · #FOS: Physical sciences #Mechanical and Optical Resonators #Photonic and Optical Devices #Quantum Physics (quant-ph) #Quantum optics and atomic interactions

paper · pdf · doi:10.48550/arxiv.0901.3940

openalex publication_date 2009/01/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We analyze the single-photon transport in a single-mode waveguide coupled to a whispering-gallery-type resonator interacting with a two-level atom. The single-photon transport properties such as the transmission and reflection amplitudes, as well as the resonator and the atom responses, are solved exactly via a real-space approach. The treatment includes the inter-mode backscattering between the two degenerate whispering gallery modes of the resonator, and the dissipations of the resonator and the atom. We also show that a generalized critical coupling condition, that the single-photon transmission at the output of the waveguide goes to zero on resonance for a matched system, holds for the full coupled waveguide-ring resonator-atom system.

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