Erlangen 2022 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 66: Quantum Effects IV
Q 66.1: Talk
Friday, March 18, 2022, 10:30–10:45, Q-H13
Generalized expression for full characterization of spectral and spatial properties of the two-photon state in Laguerre-Gaussian basis — •Baghdasar Baghdasaryan1,2,3, Carlos Sevilla2, Fabian Steinlechner3,4, and Stephan Fritzsche1,2,4 — 1Theoretisch-Physikalisches Institut, Friedrich-Schiller-University Jena, 07743 Jena, Germany — 2Helmholtz-Institut Jena, 07743 Jena, Germany — 3Fraunhofer Institute for Applied Optics and Precision Engineering IOF, 07745 Jena, Germany — 4Abbe Center of Photonics, Friedrich-Schiller-University Jena, 07745 Jena, Germany
We present a semi-analytical expression for the two-photon state that describes quantitatively both spatial and spectral properties of down-converted photons. The expression has been derived independently of the phase-matching condition. Moreover, the pump field is a pulsed Laguerre-Gaussian (LG) beam that can be easily extended to an arbitrary laser field. The expression can be used to model and predict most SPDC experiments. As an important application, we consider the engineering of high-dimensional entangled states in spatial degree of freedom. Hereby, we focus on the decoupling of spatial and spectral degrees of freedom in the broadband regime, which is crucial for the efficient generation of entangled photons.