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Journal of Anqing Teachers College

Single Photon in One-dimensional Waveguide Scattering by Quantum Dot in a Cavity

Yaqin Luo

Published Jan 1, 2011• 0 citations
OpenAlex

Abstract

We investigate the single photon scattering in one-mode waveguide coupled to a cavity embedded with a quantum dot by full quantum mechanical approach.The quantum dot is modeled as a cascaded three-level system.The single-photon transmission and reflection amplitudes are obtained by real-space method.It is shown that the single photon transport properties can be controlled by adjusting the intensity and frequency of classic field.

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We investigate the single photon scattering in one-mode waveguide coupled to a cavity embedded with a quantum dot by full quantum mechanical approach.The quantum dot is modeled as a cascaded three-level system.The single-photon transmission and reflection amplitudes are obtained by real-space method.It is shown that the single photon transport properties can be controlled by adjusting the intensity and frequency of classic field.
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.
We study controllable single-photon transport in a one-dimensional waveguide with a nonlinear dispersion relation coupled to a three-level emitter in a cascade configuration. An extra cavity field is introduced to drive one of the level transitions of the emitter. In the resonance case, when the extra cavity does not contain photons, the input single photon will be reflected; when the cavity contains one photon, the full transmission of the input single photon can be obtained. In the off-resonance case, the single-photon transport can also be controlled by the parameters of the cavity. Therefore, we show that single-photon transport can be controlled by an extra cavity field.
The single-photon transport in a single-mode waveguide, coupled to a cavity embedded with a two-level atom, is analyzed. The single-photon transmission and reflection amplitudes, as well as the cavity and the atom excitation amplitudes, are solved exactly via a real-space approach. It is shown that the dissipations of the cavity and of the atom, respectively, affect distinctively on the transport properties of the photons and on the relative phase between the excitation amplitudes of the cavity mode and the atom.
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.
We investigate how to control single-photon transport along the photonic crystal waveguide with the recent experimentally demonstrated artificial atoms [i.e., $\ensuremath{\Lambda}$-type quantum dots (QDs)] [S. G. Carter et al., Nat. Photon. 7, 329 (2013)] in an all-optical way. Adopting full quantum theory in real space, we analytically calculate the transport coefficients of single photons scattered by a $\ensuremath{\Lambda}$-type QD embedded in single- and two-mode photonic crystal cavities (PCCs), respectively. Our numerical results clearly show that the photonic transmission properties can be exactly manipulated by adjusting the coupling strengths of waveguide-cavity and QD-cavity interactions. Specifically, for the PCC with two degenerate orthogonal polarization modes coupled to a $\ensuremath{\Lambda}$-type QD with two degenerate ground states, we find that the photonic transmission spectra show three Rabi-splitting dips and the present system could serve as single-photon polarization beam splitters. The feasibility of our proposal with the current photonic crystal technique is also discussed.
Abstract We investigate the single-photon transport properties in a hybrid waveguide quantum electrodynamics system, in which a one-dimensional waveguide is simultaneously coupled to a cavity and a driven Λ-type three-level atom. The cavity and the atom are also coupled to each other. We show that when the waveguide is coupled to the cavity and the atom at the same point, double electromagnetically induced transparency (EIT) can be observed from the system. The physical mechanism of the double EIT effect has been given by setting up the eigenstate structure for the whole system. When the waveguide is coupled to the cavity and the atom at different points, we demonstrate that the single-photon transmission spectra can be effectively controlled by adjusting the relative separation between the cavity and the atom. Moreover, this non-zero relative separation can lead to the occurrence of the controllable nonreciprocal scattering effect. These results have potential applications in realization of photonic coherent control.