Mathematical Optics

12.4.5  PHOTON COUNTING PROCESS

Using NETFD, we investigate the photon counting process subject to the quantum Markov process, which was initiated by Srinivas and Davies [46,47]. The photon counting process consists of two fundamental processes. One is the process where one photon is detected within an infinitesimal time interval. The other is the process where no photon is detected within a finite time interval. The former is referred to as the one-count process and the latter as the no-count process. When the one-count process occurs in the time interval [t, t+δt), the state change is given by $|\text{ρ}(t)⟩\to |\text{ρ}(t_{+})⟩\text{α}\hat{J}\text{δ}t|\text{ρ}(t)⟩$, where $\hat{J}$ is the one-count operator determined in the following and δt represents an infinitesimal time interval. The one-count ...