Single-molecule photon emission statistics for systems with explicit time dependence: Generating function approach

Abstract

Generating function calculations are extended to allow for laser pulse envelopes of arbitrary shape in numerical applications. We investigate photon emission statistics for two-level and V- and Lambda-type three-level systems under time-dependent excitation. Applications relevant to electromagnetically induced transparency and photon emission from single quantum dots are presented.

Coherent destruction of tunneling in two-level system driven across avoided crossing via photon statistics

“…This approach has been employed to investigate the single-molecule stochastic kinetics; the control of few photons emission etc. 27 28 29 30 35 36 37 38 39 . The generating function of photon emission is defined by 27 28 29 where represents the portion of density matrix corresponding to that n photons have been spontaneously emitted.…”

Single-photon emission of two-level system via rapid adiabatic passage

“…The generating function approach for counting spontaneous photon emission events is proposed, and employed to investigate different questions1112131415161718242526272829. The generating function is defined as following111213…”

“…In this work, the nature of single-photon emission of TLS based on the RAP scheme is investigated by employing the photon counting statistics of generating function1112131415161718. For the case that TLS undergoes the RAP, the time-dependent detuning is modulated periodically to trigger sequential photon emissions.…”

Reduction of single-photon emission from a single-emitter system by intersystem crossing

“…Therefore, the rate equation approach is incomplete for calculation of the probability of photon emission. A recently developed method of generating function and optical Bloch equations [27][28][29][30][31] is better suited to describe the photon emission statistics of single-quantum * yonghe@csu.edu.cn † Present address: Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, PA 15213, USA. system. Our previous works [32][33][34] studied the theory of a single-photon source with an ideal two-level model using the generalized optical Bloch equations.…”