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Chinese Physics Letters

Transmission Characteristics in a Coupled-Resonator Waveguide Interacting with a Two-Mode Nanocavity Containing a Three-Level Emitter

Mu-Tian Cheng, Yan‐Yan Song, Long-Bao Yu

Published May 1, 2012• 7 citations
Publisher

Abstract

The photon transport in a coupled-resonator waveguide coupled to a two-mode nanocavity embedded with a three-level emitter is investigated. The transmission and reflection amplitudes are obtained by using the discrete coordinates approach. We show that the coherent transport properties of a single photon can be well controlled by detuning the coupling strength between the two-mode nanocavity and the emitter, and the coupling strength between the nanocavity and the coupled-resonator waveguide. These results may be useful for the design of photonic devices such as optical filters.

DOI
10.1088/0256-307x/29/5/054211

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Single-photon scattering properties in a coupled-resonator waveguide (CRW) coupled to a nanocavity embedded with a two-level system are investigated theoretically. Two cases are considered: when the nanocavity is locally coupled to one resonator and when it is nonlocally coupled to two resonators of the CRW. The transmission and reflection amplitudes are obtained for the two cases, respectively. The results show that the position of perfect transmission remains unchanged, while the position of perfect reflection is shifted due to the nonlocal coupling. An asymmetric Fano resonance appears in the transmission spectrum and can be controlled by adjusting the coupling strengths in the nonlocal coupling case. The effects of the coupling strengths and dissipation on the transport properties are also analyzed for the two cases.
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Photon scattering properties in one-dimensional waveguide side coupled to a nanocavity embedded in two atoms with dipole-dipole interaction (DDI) are investigated theoretically. The analytical expressions of the transmission and reflection amplitudes are deduced by using the real-space Hamiltonian. A method to determine the coupling strength of DDI is proposed. Realization of single photon switching by modulation the DDI is investigated. The influence of dissipations on the performance of the single photon switching are exhibited. An asymmetric Fano-type resonance, which can be controlled by the DDI, appears in the transmission spectrum.
We have investigated the single-photon transport property in a T-shaped coupled-resonant waveguide (CRW), which consists of an infinite CRW and a semi-infinite CRW, coupled to a cascaded three-level emitter. A c-mode cavity field is introduced to drive the one transition of the cascaded three-level system. Two cases that a single photon is incident from the infinite CRW and semi-infinite CRW are considered, respectively. We obtain the transmission, reflection and transfer amplitudes analytically and our results show that the transmission, reflection and transfer rates can be controlled by adjusting the detuning and coupling strengths between the c-mode cavity field and one transition of the three-level system. Our study provides a full quantum control scheme of single-photon transport properties in a T-shaped waveguide.