Rostock 2019 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 30: Matter Wave Optics
Q 30.5: Talk
Wednesday, March 13, 2019, 11:45–12:00, S SR 211 Maschb.
Many-particle interference to test Born’s rule — •Marc-Oliver Pleinert1,2, Joachim von Zanthier1,2, and Eric Lutz3 — 1Institut für Optik, Information und Photonik, Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), 91058 Erlangen, Germany — 2Erlangen Graduate School in Advanced Optical Technologies (SAOT), Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), 91052 Erlangen, Germany — 3Institute for Theoretical Physics I, University of Stuttgart, D-70550 Stuttgart, Germany
Born’s rule, one of the cornerstones of quantum mechanics, relates detection probabilities to the modulus square of the wave function. Single-particle interference is accordingly limited to pairs of quantum paths and higher-order interferences are prohibited. Deviations from Born’s law have been quantified via the Sorkin parameter which is proportional to the third-order interference term. We here extend this formalism to many-particle interferences and find that they exhibit a much richer structure. We demonstrate, in particular, that all interference terms of order (2M+1) and greater vanish for M particles. We further introduce a family of many-particle Sorkin parameters and show that they are exponentially more sensitive to deviations from Born’s rule than their single-particle counterpart.