Modeling the space-time correlation of pulsed twin beams
Abstract
Entangled twin-beams generated by parametric down-conversion are among the favorite sources for imaging-oriented applications, due their multimodal nature in space and time. However, a satisfactory theoretical description is still lacking. In this work we propose a semi-analytic model which aims to bridge the gap between time-consuming numerical simulations and the unrealistic plane-wave pump theory. The model is used to study the quantum correlation and the coherence in the angle-frequency domain of the parametric emission, and demonstrates a growth of their size as the gain increases, with a corresponding contraction of the space-time distribution. These predictions are systematically compared with the results of stochastic numerical simulations, performed in the Wigner representation, of the full model equations: an excellent agreement is shown even for parameters well outside the expected limit of validity of the model.
Keywords
Cite
@article{arxiv.2301.07441,
title = {Modeling the space-time correlation of pulsed twin beams},
author = {Alessandra Gatti and Ottavia Jedrkiewicz and Enrico Brambilla},
journal= {arXiv preprint arXiv:2301.07441},
year = {2023}
}