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Journal of the Optical Society of America B

Single-photon transport properties in a one-dimensional resonator waveguide coupled to a whispering-gallery resonator containing two separated two-level atoms

Tao Zhou, Xiaofei Zang, Yongsheng Liu, Jing Chen, Yanyan Zhu

Published Mar 20, 2013• 12 citations
Publisher

Abstract

Single-photon transport properties in a one-dimensional coupled resonator waveguide, coupled to a whispering-gallery resonator interacting with two separated two-level atoms, are theoretically investigated. Based on the real-space approach, the transmission and reflection amplitudes of the single photon are deduced. Numerical results demonstrate that the transmission and reflection depend on the resonator–atom coupling, the intermode backscattering, and especially the phase difference between these two separated atoms. Effects of dissipation on single-photon transport properties are also discussed.

DOI
10.1364/josab.30.000978

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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 intermode 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.
We investigate the single-photon transport properties in a one-dimensional coupled-resonator waveguide non-locally coupled to a whispering-gallery resonator embedded with two separated two-level atoms based on the real-space approach. The control of single-photon transport is realized by modulating the detuning between two separated atoms, phase differences, and the symmetric/asymmetric nonlocal couplings. The multi-frequency photon-filter is obtained, and the influences of dissipation effects on single-photon transmission spectra and the phase shift are also discussed.
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.
A hybrid system containing an asymmetrical waveguide coupled to a whispering-gallery resonator embedded with a two-level atom is designed to investigate single-photon transport properties. The transmission and reflection amplitudes are obtained via the discrete coordinates approach. Numerical simulation demonstrates that a trifrequency photon attenuator is realized by controlling the couplings between the asymmetrical waveguide and the whispering-gallery resonator. The phase shift, group delay and dissipation effects of the transmitted single-photon are also discussed.
We investigate theoretically the single-photon scattering by a Λ-type three-level system interacting with a whispering-gallery-type resonator which is coupled to a one-dimensional waveguide by full quantum-mechanical approach. The single-photon transmission amplitude and reflection amplitude are obtained exactly via real-space approach. The single-photon transport properties controlling by classic optical field are discussed. The critical coupling condition in the coupled waveguide-whispering-gallery resonator-atom with three-level system is also analyzed.