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The Journal of Atomic and Molecular Sciences

Photon Statistical Properties Emitted from Single Molecule Derived from Generating Function Method

Bai-Ping Han

Published Jul 1, 2016• 0 citations
Publisher

Abstract

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.

DOI
10.4208/jams.052516.081516a

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In this paper,we discuss the emission photon statistics of V -type three-level single molecule with permanent dipoles,which driven by continuous laser and electric radio frequency(rf) fields,via the generating function method developed recently.The average emission photon numbersN,lineshapes and the Mandel's Q parameters are studied at different detuning frequency and rf strength(internsity). The waiting time distribution w(t) is also studied.The results demonstrate that the emission photon statistical properties is strongly affected by the laser frequency and rf strength(intensity),in the other hand,we can control the emission photons through the external field.
We study the statistics of photon emission from three-level single molecule systems. The generating function method [Y. Zheng and F. L. H. Brown, Phys. Rev. Lett. 90, 238305 (2003)] is used to calculate steady state absorption line shapes and Mandel's Q parameter as a function of excitation frequency, as well as the time dependence associated with approach to the steady state. The line shape calculations confirm known results derived via other methods, while the Q parameter results display complex frequency dependences not amenable to simple interpretation. This study confirms the applicability of the generating function formalism to multilevel quantum systems, including the proper modeling of quantum coherence effects.