Conservation of angular momentum on a single-photon level

Lea Kopf, Rafael Barros, Shashi Prabhakar, Enno Giese, Robert Fickler

Published 2024-09-13Version 1

Identifying conservation laws is central to every subfield of physics, as they illuminate the underlying symmetries and fundamental principles. These laws have far-reaching implications, not only enhancing our theoretical understanding but also enabling practical applications. A prime example can be found in quantum optics: The conservation of orbital angular momentum (OAM) during spontaneous parametric down-conversion (SPDC) enables the generation of a photon pair with entangled OAM. This quantum correlation is commonly attributed to the conservation of the topological charge of a strong coherent pump field driving the process. However, the topological charge of such a classical field only determines the average OAM per photon, so that the total OAM carried by the field has fluctuations as a direct consequence of its photon statistics. In this article, we report on the first realisation of SPDC pumped by a single twisted photon. Our results confirm OAM conservation at the single-photon level and directly transfer to SPDC induced by classical pump fields by averaging over their photon statistics. In addition to verifying a central property of SPDC, our results present the first implementation of cascaded down-conversion in bulk media, setting the stage for experiments on the direct generation of multi-photon high-dimensional entanglement using all degrees of freedom of light.