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.
General
| Imprint: |
Springer International Publishing AG
|
| Country of origin: |
Switzerland |
| Series: |
Springer Theses |
| Release date: |
May 2023 |
| First published: |
2022 |
| Authors: |
Marc-Oliver Pleinert
|
| Dimensions: |
235 x 155mm (L x W) |
| Pages: |
200 |
| Edition: |
1st ed. 2022 |
| ISBN-13: |
978-3-03-104456-4 |
| Categories: |
Books
|
| LSN: |
3-03-104456-8 |
| Barcode: |
9783031044564 |
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