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

Abstract

We investigate the reduction in the probability of single-photon emission from a single-emitter system caused by intersystem crossing. The physical model is that a single-emitter system with three levels is excited by a square pulse laser, and then a single photon is emitted at a controllable time. We find that the intersystem crossing always reduces the probability of single-photon emission. We obtain quantitative and analytical expressions for the probabilities of zero-, one-, and two-photon emission and Mandel's Q parameter as the function of the intersystem crossing rate under the conditions of finite field strength and finite interaction time with the laser pulse. We discuss the conditions for obtaining the maximal probability of single-photon emission in the presence of intersystem crossing. We find that one can obtain a high probability of single-photon emission from the single-emitter system using square pulse excitation in comparison with continuous wave excitation. Mandel's Q parameter exhibits a transition from a sub-Poissonian behavior to a super-Poissonian behavior due to the influence of intersystem crossing. The calculated Mandel's Q parameter and second-order correlation function of photon emission considering the coherent effect are in better agreement with the experimental data.

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 questions 11 12 13 14 15 16 17 18 24 25 26 27 28 29 . The generating function is defined as following 11 12 13 …”

“…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 function 11 12 13 14 15 16 17 18 . For the case that TLS undergoes the RAP, the time-dependent detuning is modulated periodically to trigger sequential photon emissions.…”