An Alternative to the Born Rule : Spectral Quantization
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Journal Title
Journal ISSN
Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Author
Date
2023-06
Major/Subject
Mcode
Degree programme
Language
en
Pages
25
1-25
1-25
Series
Foundations of Physics, Volume 53, issue 3
Abstract
We show that there is a hidden freedom in quantum many-body theory associated with overcompleteness of the time evolution through the single-particle subspace of a many-body system. To fix the freedom, an additional constraint is necessary. We argue that the appropriate constraint on the time evolution through the subspace is to quantize the propagation of entangled pairs of particles, represented by the single-particle spectral function, instead of individual particles. This solution method creates a surface that indicates the multiplicity of every solution to the inverse problem defined by matching the freedom to the constraint. Upon measurement, the system collapses nonlocally onto a single quantized solution. In addition to a combinatoric multiplicity, each solution acquires a multiplicity due to its stability when subject to a small variation in the microscopic degrees of freedom. Numerical calculations for a two-level system show that our theory improves upon standard theory in the description of non-quasiparticle spectral features. Our reinterpretation of quantum many-body theory is not based on the Born rule and offers a more faithful representation of experiments than current theory by modeling individual, quantized events with an explicit collapse model.Description
Funding Information: This work was supported by the Academy of Finland through grant no. 316347. Publisher Copyright: © 2023, The Author(s).
Keywords
Entanglement, Non-Fermi liquid, Quantum many-body theory, Quantum measurement, Wave function collapse
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Citation
Dvorak , M 2023 , ' An Alternative to the Born Rule : Spectral Quantization ' , Foundations of Physics , vol. 53 , no. 3 , 50 , pp. 1-25 . https://doi.org/10.1007/s10701-023-00692-z
