Introduction to the absolute brightness and number statistics in spontaneous parametric down-conversion

摘要: As a tutorial, we examine the absolute brightness and number statistics of photon pairs generated in Spontaneous Parametric Down-Conversion (SPDC) from first principles. In doing so, demonstrate how diverse implementations SPDC can be understood through single common framework, use this to derive straightforward formulas for biphoton generation rate (pairs per second) variety different circumstances. particular, consider cases both collimated focused gaussian pump beams bulk nonlinear crystal, as well waveguides micro-ring resonators. Furthermore, down-converted light using non-perturbative approximation (the multi-mode squeezed vacuum), provide quantitative relative likelihood multi-pair production events, explore quantum state affects subsequent downconverted light. Following this, limits undepleted approximation, conclude by performing experiments test effectiveness our theoretical predictions sources.