Dual effects of disorder on the strongly-coupled system composed of a single quantum dot and a photonic crystal L3 cavity

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SCIENCE CHINA Physics, Mechanics & Astronomy
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SCIENCE CHINA Physics, Mechanics & Astronomy, Volume 62, Issue 6: 064211(2019) https://doi.org/10.1007/s11433-018-9290-5

Dual effects of disorder on the strongly-coupled system composed of a single quantum dot and a photonic crystal L3 cavity

GengYan Chen1, Jing-Feng Liu2, Yi-Cong Yu3, RenMing Liu4, GuiXin Zhu4, YongZhu Chen1, ZhanXu Chen1, Xue-Hua Wang4,*
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  • ReceivedJun 21, 2018
  • AcceptedAug 21, 2018
  • PublishedNov 20, 2018
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Abstract

Light-matter interaction in the strong coupling regime enables light control at the single-photon level. We develop numerical method and analytical expressions to calculate the decay kinetics of an initially excited two-level quantum emitter in dielectric nanostructure and single-mode cavity, respectively. We use these methods to discover the dual effects of disorder on the strongly-coupled system composed of a single quantum dot and a photonic crystal L3 cavity. The quality factor is sensitive to disorder, while the g factor and vacuum Rabi splitting are robust against disorder. A small amount of disorder may either decrease or increase the light localization and the light-matter interaction. Our methods offer flexible and efficient theoretical tools for the investigation of light-matter interaction, especially cavity quantum electrodynamics. Our findings significantly lower the requirements for optimization effort and fabrication precision and open up many promising practical possibilities.


Funded by

the National Natural Science Foundation of China(GrantsNos.115040581144718161475038)

the Natural Science Foundation of Guangdong Province of China(GrantNo.2015A030310213)

and the Science and Technology Program of Guangzhou(GrantNo.201804010175)


Acknowledgment

This work was supported by the National Natural Science Foundation of China (Grants Nos. 11504058, 11447181, and 61475038), the Natural Science Foundation of Guangdong Province of China (Grant No. 2015A030310213), and the Science and Technology Program of Guangzhou (Grant No. 201804010175).


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  • Click to view Download high-quality image

    Figure 1

    (Color online) (a), (b) Ey component of the normalized electric field E c(r) of the ideal PC L3 cavity mode on the (a) y =0 and (b) z =0 planes, respectively. The two horizontal black lines in (a) denote the top and bottom surfaces of the slab. The black circles in (b) denote the air holes. The white dot in (a) and the white arrow in (b) denote the location and orientation of the transition dipole moment of the quantum dot. (c) The perturbation of dielectric function δε(r ) on the z=0 plane between a disordered sample with disorder degree σ=0.002a and the ideal PC L3 cavity.

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    Figure 2

    (Color online) Statistical distribution (black dots), average value (red line) and standard deviation referred as spread (red error bar) of (a) resonant frequency ωc, (b) Q factor, (c) g factor and (d) vacuum Rabi splitting Ω in the SCS samples with different disorder degrees σ on resonance.

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    Figure 3

    LCS Γ (r 0,ω ), level shift Δ( r 0, ω) and evolution spectrum Ce (r 0,ω ) of the three representative SCS samples with disorder degree σ of (a) 0 , (b) 0.02a and (c) 0.04a on resonance.

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    Figure 4

    (Color online) Evolution spectrum Ce (r 0,ω ) of the three representative SCS samples with disorder degree σ of (a) 0, (b) 0.02a and (c) 0.04a, respectively, as a function of detuning ?ω between the varying transition frequency of the uncoupled quantum dot ω0 (denoted by the green line) and the constant resonant frequency of the uncoupled PC L3 cavity ωc (denoted by the yellow vertical line). The white horizontal line denotes the case on exact resonance, also shown in Figure3.

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    Figure 5

    Population P (r 0,t ) of the quantum dot in the excited state as a function of time in the three representative SCS samples with disorder degree σ of (a) 0, (b) 0.02a and (c) 0.04a on resonance.

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