The structure of quantum theory permits interference of indistinguishable paths. At the same time, however, it also limits such interference to certain orders and any higher-order interference is prohibited. This thesis develops and studies concepts to test quantum theory with higher-order interference using many-particle correlations, the latter being generally richer and typically more subtle than single-particle correlations. It is demonstrated that quantum theory in general allows for interference up to order 2M in M-particle correlations. Depending on the mutual coherence of the particles, however, the related interference hierarchy can terminate earlier. In this thesis, we show that mutually coherent particles can exhibit interference of the highest orders allowed. We further demonstrate that interference of mutually incoherent particles truncates already at order M+1, although interference of the latter is principally more multifaceted than their coherent counterpart. We introduce two families of many-particle Sorkin parameters, whose members are expected to be all zero when quantum mechanics holds. As proof of concept, we demonstrate the disparate vanishing of such higher-order interference terms as a function of coherence in experiments with mutually coherent and incoherent sources. Finally, we investigate the influence of exotic kinked or looped quantum paths, which are permitted by Feynman's path integral approach, in such setups.

Guides from the postulates of quantum theory to the concept of higher-order interference Generalizes the idea of interference hierarchies to many-particle correlations in the coherent and incoherent case Provides a detailed experimental study of many-particle higher-order interference

Autorentext
Marc-Oliver Pleinert is currently working as a postdoctoral researcher at the Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Germany, and as scientific coordinator of the Collaborative Research Centre Transregio TRR 306 QuCoLiMa - Quantum Cooperativity of Light and Matter. At FAU, he works in the group Quantum Optics & Quantum Information (QOQI) led by Prof. Dr. Joachim von Zanthier. He received his Ph.D. degree in the QOQI group in 2021, for which he received the "Ohm-Preis" of the Physics Department, FAU. During his doctoral studies, he was supported by the Studienstiftung des deutschen Volkes and a member of the International Max Planck Research School (IMPRS): Physics of Light. In 2019, he was elected to participate as Young Researcher at the Lindau Nobel Laureate Meeting dedicated to Physics. His research focuses on tests of quantum theory using multi-particle correlations.

Inhalt

Introduction.- Foundations.- Path Integral Approach to Quantum Interference.- Quantum Theory of Light.- A Family of Sorkin Parameters to Test Born's Rule Using Mutually Coherent Sources.- Measuring the Interference Hierarchy of Single- and Two-Particle Correlations With Coherent Light.- Appendix.