Many-particle interference to test Born's rule
Pleinert MO, von Zanthier J, Lutz E (2020)
Publication Language: English
Publication Type: Journal article
Publication year: 2020
Journal
Book Volume: 2
Article Number: 012051(R)
DOI: 10.1103/PhysRevResearch.2.012051
Abstract
Born's rule relates detection probabilities to the modulus square of the wave function. It is one of the central principles of quantum mechanics together with that of linear superposition. 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 term. However, while the linearity of quantum theory has been experimentally tested to the level of 10−20 eV, the Sorkin parameter has only been measured to an accuracy of 2×10−3 in the quantum regime. We here investigate Born's law using many-particle interferences and demonstrate that all interference terms of order (2M+1) and greater vanish for Mparticles. 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.
Authors with CRIS profile
Marc-Oliver Pleinert
Quantum Optics & Quantum Information
Joachim von Zanthier
Quantum Optics & Quantum Information
Related research project(s)
Involved external institutions
Germany (DE)How to cite
APA:
Pleinert, M.-O., von Zanthier, J., & Lutz, E. (2020). Many-particle interference to test Born's rule. Physical Review Research, 2. https://dx.doi.org/10.1103/PhysRevResearch.2.012051
MLA:
Pleinert, Marc-Oliver, Joachim von Zanthier, and Eric Lutz. "Many-particle interference to test Born's rule." Physical Review Research 2 (2020).
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