Transverse quantum Schmidt-mode patterns in down conversion

摘要

We present the transverse patterns for down conversion that are associated with signal and idler entanglement, in the form of the unique Schmidt modes for the photons. We introduce Schmidt analysis and review Schmidt modes in the simpler context of short-pulse down-conversion with frequency entanglement. For the more difficult pattern analysis, we simplify by assuming zero orbital angular momentum for the pump pulse as well as cw pump light. We provide angular momentum labels as well as Schmidt mode labels to categorize the patterns.