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Chinese Science Bulletin (Chinese Version)

Statistics of emission photon from single molecule

Yujun Zheng

Published Jan 1, 2013• 0 citations
Publisher

Abstract

The emission photon statistics from single molecule based on the generating function method developed recently is discussed. From the view of statistical theory, the generating function could be thought as the partition function of the “counting field s”. The statistical properties of emission photon from single molecule are also discussed.

DOI
10.1360/972012-357

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The emission photon statistics from single molecule based on the generating function method developed recently is discussed. From the view of statistical theory, the generating function could be thought as the partition function of the “counting field s”. The statistical properties of emission photon from single molecule are also discussed.
In this paper, we summarize the photon emission statistical properties of single molecule system, using the recently developed generating function method. Through the introduce of one or double “auxiliary” variables, we can investigate the first moment and second moment of photon emission statistics driven by different external fields, such as the line shapes and Mandel's Q parameters, the photon emission probabilities, the probability distribution of time between successive emission, the waiting time and the waiting time distribution, the cross correlation, the joint probabilities, etc. Among, the first moment of photon statistics and the experimental results of optical amplification are in good agreement.
We derive the generating function for single molecule photon emission events within the context of the stochastically modulated optical Bloch equations. Statistical properties of single molecule photon counting experiments are deduced from a set of coupled differential equations only slightly more complicated than the Bloch equations themselves. This formulation allows for the study of photon bunching and antibunching within a single theoretical framework and provides a description of these behaviors that emphasizes the connection with single molecule experiments. Application is made to the spectroscopy of a chromophore coupled to a single two level system.