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Chinese Physics Letters

Influence of Excitation Pulse Width on the Second-Order Correlation Functions of the Exciton-Biexciton Emissions

Nam-Chol Kim, Jian-Bo Li, Liu Shao-Ding, Mu-Tian Cheng, Zhong-Hua Hao

Published Mar 1, 2010• 4 citations
Publisher

Abstract

We investigate theoretically the population dynamics and the second-order correlation functions of photon emissions from the biexciton-exciton system of a single quantum dot with excitation from pulses to continuous wave. The dynamic equations of the correlation functions are deduced by applying quantum regression theorem to optical Bloch equations. The influences of excitation pulse width on the correlation function have been discussed in detail.

DOI
10.1088/0256-307x/27/3/034211

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We investigate theoretically the population dynamics and the second-order correlation functions of photon emissions from the biexciton-exciton system of a single quantum dot with excitation from pulses to continuous wave. The dynamic equations of the correlation functions are deduced by applying quantum regression theorem to optical Bloch equations. The influences of excitation pulse width on the correlation function have been discussed in detail.
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The dynamics of the population density matrix and polarization density matrix of the biexciton system of single semiconductor quantum dots with pulse excitation were analyzed by using master equations and quantum regression theorem. A model based on the spectral distributions of the cascade photon emissions was proposed to calculate the polarization entanglement of the photon pairs emitted from the non-degenerate biexciton system with spectral filters. The influences of the spectral filter width and the exciton energy splitting between the two orthogonally polarized eigenstates on the entanglement were theoretically analyzed. The dependence of the polarization entanglement on the input pulse area was also discussed.
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 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.