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Chinese Physics Letters

Second-Order Correlation Function of the Photon Emission from a Single Quantum Dot

Yaoyi Li, Mu-Tian Cheng, Zhou Hui-Jun, Liu Shao-Ding, Qu‐Quan Wang

Published Oct 27, 2005• 7 citations
Publisher

Abstract

The photon correlation of photon emission from a single quantum dot with cw excitation and pulsed excitation is investigated in details. To calculate the second-order correlation function for optical pumping, we deduce rate equations with a simplified two-level model under cw excitation and present the master equation approach in the interaction picture to the study of evolution of a three-level system under pulsed excitation. In addition, we report photon correlation measurements on a single self-assembled In 0.5 Ga 0.5 As quantum dot, which show strong antibunching behaviour under both the conditions of cw and pulsed excitations. The calculated results are in agreement with the experimental measurements.

DOI
10.1088/0256-307x/22/11/065

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The photon correlation of photon emission from a single quantum dot with cw excitation and pulsed excitation is investigated in details. To calculate the second-order correlation function for optical pumping, we deduce rate equations with a simplified two-level model under cw excitation and present the master equation approach in the interaction picture to the study of evolution of a three-level system under pulsed excitation. In addition, we report photon correlation measurements on a single self-assembled In 0.5 Ga 0.5 As quantum dot, which show strong antibunching behaviour under both the conditions of cw and pulsed excitations. The calculated results are in agreement with the experimental measurements.
The statistic characteristics of single photon emission in single semiconductor quantum dot with pulse excitation have been investigated.With rotating-wave approximation,we deduce the dynamics equations including second-order correlation function from the master equations of the populations and discuss the correlation function of photon emission from the exciton combination under different input pulse areas.There will appear an apparant split peak around zero time delay under strong excitation.For short pulse width,the probability of single photon emission p and the efficiency of single photon emission η oscillate as the excitation intensity increases.It is revealed that high efficient single photon emissions can be realized in this system when excited with input pulse area about π and short pulse width.
The master equation for the microcavity-quantum dot coupled system is established based on the quantum regression theorem,and the time-dependent evolution of the density matrix of the two-level system for a quantum dot in a microcavity is studied under pumping by laser pulses.The characteristics such as the number of emitted photons and the second-order corelation function are derived from the density matrixes.Parameters of the microcavity and the pumping conditions are optimized for single-photon sources.The relativity between the microcavity decay rate and coupling coefficient is critical for single photon emission.
从有 cwexcitation 和搏动的刺激的一个单个量点的光子排放的光子关联在细节被调查。为了计算 second-ordercorrelation，为光抽工作，我们在 cw 刺激下面与一个简化二水平的模型一起推出率方程并且在搏动的刺激下面在相互作用图画介绍主人方程途径给一个三水平的系统的进化的学习。另外，我们在在自我装配的一个单身者上报导光子关联大小(0.5 ) Ga (0.5 ) s 量点 cw 和搏动的刺激的条件，它在两个下面显示出 strongantibunching 行为。计算结果与试验性的大小一致。
We theoretically investigate the optical response of a quantum dot, embedded in a microcavity and incoherently excited by pulsed pumping. The exciton and biexciton transition are off-resonantly coupled with the left- and right-polarized mode of the cavity, while the two-photon resonance condition is fulfilled. Rich behaviours are shown to occur in the time dependence of the second-order correlation functions which refer to counter-polarized photons. The corresponding time-averaged quantities, which are accessible to experiments, confirm that such a dot-cavity system behaves as a good emitter of single, polarization-correlated photon pairs.