论文标题
Hong-ou-mandel干扰真实的光束分离器
Hong-Ou-Mandel interference on a real beam splitter
论文作者
论文摘要
已知Hong-ou-mandel（HOM）效应是量子光学元件的主要现象之一。当两个相同的单光子波进入1：1梁分离器，每个输入端口中一个时，就会发生效果。当光子相同时，它们将彼此扑灭。 HOM干涉仪的主要元素之一是光束分离器，该梁分离器具有自身的反射系数$ r = 1/2 $和传输$ t = 1/2 $。 In this work, the general mechanism of the interaction of two photons in a beam splitter is considered using an analytical solution, which shows that in the HOM theory of the effect it is necessary to know (including when planning the experiment) not only $ R = 1/2 $ and $ T = 1/2 $, but also their root-mean-square fluctuations $ ΔR ^ 2, ΔT ^ 2 $, which arise due to the dependence of $R = R(ω_1, ω_2）$和$ t = t = t（ω_1，ω_2）$在$ω_1，ω_2$分别是第一和第二光子的频率的频率上。在某些条件下，特别是，当波动的依赖性$Δr^2 $和$Δt^2 $可以被忽略，并且选择了$ r = t = 1/2 $时，开发的理论与先前已知的结果相吻合。
Hong-Ou-Mandel (HOM) effect is known to be one of the main phenomena in quantum optics. The effect occurs when two identical single-photon waves enter a 1:1 beam splitter, one in each input port. When the photons are identical, they will extinguish each other. One of the main elements of the HOM interferometer is the beam splitter, which has its own coefficients of reflection $R = 1/2$ and transmission $ T = 1/2 $. In this work, the general mechanism of the interaction of two photons in a beam splitter is considered using an analytical solution, which shows that in the HOM theory of the effect it is necessary to know (including when planning the experiment) not only $ R = 1/2 $ and $ T = 1/2 $, but also their root-mean-square fluctuations $ ΔR ^ 2, ΔT ^ 2 $, which arise due to the dependence of $R = R(ω_1, ω_2) $ and $ T = T (ω_1, ω_2) $ on the frequencies where $ω_1, ω_2$ are the frequencies of the first and second photons, respectively. Under certain conditions, specifically when the dependence of the fluctuations $ ΔR^2 $ and $ ΔT^2 $ can be neglected and $ R=T=1/2 $ is chosen, the developed theory coincides with previously known results.
