Stimulated parametric down-conversion for spatiotemporal metrology

TL;DR

This paper provides a comprehensive theoretical analysis of stimulated parametric down-conversion, focusing on its spatiotemporal properties and potential applications in high-precision metrology.

Contribution

It introduces a Wigner functional approach to model stimulated PDC, including seeding effects and background calculations, advancing the understanding of its spatiotemporal dynamics.

Findings

Derived the PDC state as a Bogoliubov transformed input state

Analyzed the effects of seeding on PDC

Calculated the spontaneous PDC background

Abstract

A detailed analysis of the stimulated parametric down-conversion (PDC) process is performed to investigate the effects of the spatiotemporal degrees of freedom. The analysis provides information that would be useful for PDC-based metrology applications. Using a Wigner functional approach, we obtain the parametric down-converted state as the Bogoliubov transformed input state, in terms of Bogoliubov kernel functions. The result is used to consider the case for a coherent state seeding stimulated PDC. We also compute the background which is obtained from spontaneous PDC.