Three-dimensional photonic-crystal cavity with an embedded quantum dot as a nonclassical light emitter

Yu Ben; Zhibiao Hao; Changzheng Sun; Fan Ren; Ning Tan; Yi Luo

doi:10.1364/OPEX.12.005146

Optics Express
Vol. 12,
Issue 21,
pp. 5146-5153
(2004)
•https://doi.org/10.1364/OPEX.12.005146

Three-dimensional photonic-crystal cavity with an embedded quantum dot as a nonclassical light emitter

Yu Ben, Zhibiao Hao, Changzheng Sun, Fan Ren, Ning Tan, and Yi Luo

Open Access

Get PDF
Email
Share
Get Citation
Copy Citation Text
Yu Ben, Zhibiao Hao, Changzheng Sun, Fan Ren, Ning Tan, and Yi Luo, "Three-dimensional photonic-crystal cavity with an embedded quantum dot as a nonclassical light emitter," Opt. Express 12, 5146-5153 (2004)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Citation alert
Save article

Abstract

In this paper, we introduce a hybrid three-dimensional photonic-crystal cavity with an embedded quantum dot, and investigate the dynamics of the cavity-quantum dot system. The general procedure of modelling such a practical structure is presented, where the master equation is solved on the basis of the parameters obtained from defect mode analyses. According to our study, this structure can be engineered to achieve a nearly deterministic single photon gun. The excitation power is found to have an optimal value in terms of photon emission efficiency. Large excitation pulse duration is believed to cause a spurious peak in the second-order coherence measurement.

Full Article | PDF Article

More Like This

Single germanium quantum dot embedded in photonic crystal nanocavity for light emitter on silicon chip

Cheng Zeng, Yingjie Ma, Yong Zhang, Danping Li, Zengzhi Huang, Yi Wang, Qingzhong Huang, Juntao Li, Zhenyang Zhong, Jinzhong Yu, Zuimin Jiang, and Jinsong Xia
Opt. Express 23(17) 22250-22261 (2015)

Photonic crystal nanocavity laser with a single quantum dot gain

Masahiro Nomura, Naoto Kumagai, Satoshi Iwamoto, Yasutomo Ota, and Yasuhiko Arakawa
Opt. Express 17(18) 15975-15982 (2009)

Efficient generation of single photons by quantum dots embedded in bullseye cavities with backside dielectric mirrors

Kaili Xiong, Xueshi Li, Yuming Wei, Wei Wu, Chaofan Zhang, Jin Liu, Yan Chen, and Pingxing Chen
Opt. Express 31(12) 19536-19543 (2023)

Previous Article Next Article

Cited By

Optica participates in Crossref's Cited-By Linking service. Citing articles from Optica Publishing Group journals and other participating publishers are listed here.

Alert me when this article is cited.

Fig. 1. The schematic view of the photonic-crystal. The darker regions represent GaAs, and the brighter ones represent AlAs. Both a complete photonic-crystal (a) and the photonic-crystal cavity (b) are shown.

Download Full Size | PDF

Fig. 2. Normalized amplitude of E_x of x-dipole mode in the central xy-plane where the quantum dot is located (a) and in a vertical slice with respect to y axis (b). The frequency of the mode is a/λ=0.263. The structural parameters are as follows: p=8a/15, s=16a/15, the refractive index n_GaAs=3.57 and n_AlAs=2.94.

Download Full Size | PDF

Fig. 3. The average photon number detected during time interval from 0 to t. The parameters are (g, κ, γ₀ , r ₀)=(441,1678,0.56,500) GHz and 2T ₀=3 ps.

Download Full Size | PDF

Fig. 4. Dependence of the saturation value p(+∞) on peak pump rate r ₀ with 2T ₀=3 ps and 6 ps.

Download Full Size | PDF

Fig. 5. The pulse duration dependence of P _max

Download Full Size | PDF

Equations (16)

Equations on this page are rendered with MathJax. Learn more.

V = \frac{\int\int\int ε (r) {∣ E (r) ∣}^{2} d^{3} r}{max [ε (r) {∣ E (r) ∣}^{2}]},

g = \frac{μ}{ħ} \sqrt{\frac{ħ ω}{2 εV}} = \frac{γ_{0}}{2} \sqrt{\frac{V_{0}}{V}},

H = ħ g (σ^{†} a + a^{†} σ) + ħ r (t) (σ + σ^{†}),

\frac{d}{dt} ρ = - \frac{i}{ħ} [H, ρ] + κ (2 a ρ a^{†} - a^{†} aρ - ρ a^{†} a) + \frac{γ}{2} (2 σρ σ^{†} - σ^{†} σρ - {ρσ}^{†} σ)

P (t) \equiv 2 κ \int_{0}^{t} 〈 a^{†} (τ) a (τ) 〉 d τ

r (t) = r_{0} \exp {\frac{- {(t - 3 T_{0})}^{2}}{T_{0}^{2}}}

H' = H - iħκ a^{†} a - iħ \frac{γ_{0}}{2} σ^{†} σ .

∣ ψ (t) 〉 = a_{1} (t) ∣ G, 0 〉 + a_{2} (t) ∣ X, 0 〉 + a_{3} (t) ∣ G, 1 〉,

i {\dot{a}}_{1} = r (t) a_{2}

i {\dot{a}}_{2} = r (t) a_{1} + g a_{3} - i \frac{γ_{0}}{2} a_{2}

i {\dot{a}}_{3} = g a_{2} - i κ a_{3},

a_{3} \approx \frac{g}{iκ} a_{2}

a_{2} \approx {\begin{matrix} \sin (r_{0} t) t < T \\ \sin (r_{0} T) \exp {- (\frac{g^{2}}{κ} + \frac{γ_{0}}{2}) t} t \geq T \end{matrix}

a_{1} \approx - i \int_{0}^{t} r (t') a_{2} (t') d t' .

P (t) \approx 2 κ \int_{0}^{t} {∣ a_{3} (t') ∣}^{2} d t' \approx \sin^{2} (r_{0} T) \frac{F}{F + 1} {1 - \exp [- (\frac{2 g^{2}}{κ + γ_{0}}) t]}

P (t) \to_{\frac{g^{2}}{(κ γ_{0}) ≫ 1}}^{t \to + \infty} \sin^{2} (r_{0} T)

Abstract

Cited By

Figures (5)

Equations (16)

Optics Express