Second‐Order Autocorrelation Function of Spectrally Filtered Light From an Incoherently Pumped Two‐Level System

Abstract

Light with zero second-order autocorrelation function, g (2) (0), emitted by single-photon source (SPS), for example, two-level system (TLS), is usually considered as being in a Fock state with one photon in a certain electromagnetic mode of free space. However, real SPSs have finite linewidths and excite all modes lying within the linewidth. It is shown that the zero value of g (2) (0) of light emitted by an incoherently pumped TLS is a consequence of the quantum interference of electromagnetic modes lying within the linewidth. Applying the quantum regression theorem for out-of-time-ordered correlation functions, an analytical expression for g (2) (0) is obtained for the light emitted by a TLS and passed through a spectral filter. It is shown that narrowing the spectral width of the band-pass filter inevitably leads to an increase in g (2) (0). g (2) (𝝉) is found and it is demonstrated that certain spectral filters lead to its nonmonotonic time dependence. These results open up the possibility of controlling the statistics of the emitted light using a spectral filter, which can find applications in quantum communication and cryptography.

Loss of antibunching

“…( 38)] as well as all regimes (low, intermediate, and high) of driving, also being valid for arbitrary time delays as opposed to only coincidences. The incoherent case has very recently benefited from such a generalization by another group [100], relying on a different approach (out of time ordering) and going beyond Lorentzian filtering. The coherent case is very bulky with its full form to be found in Appendix B, but simplifications can be obtained in the low-(Heitler) driving limit (42) and in the high-(Mollow) 023724-13 driving limit.…”