Modeling of the multi-stage Stern–Gerlach experiment by Frisch and Segrè using co-quantum dynamics via the Bloch equation

Kelvin Titimbo; David C. Garrett; S. Suleyman Kahraman; Zhe He; Lihong V. Wang

doi:10.1117/12.3002093

13 March 2024 Modeling of the multi-stage Stern–Gerlach experiment by Frisch and Segrè using co-quantum dynamics via the Bloch equation

Kelvin Titimbo, David C. Garrett, S. Suleyman Kahraman, Zhe He, Lihong V. Wang

Author Affiliations +

Proceedings Volume PC12912, Quantum Sensing, Imaging, and Precision Metrology II; PC129122F (2024) https://doi.org/10.1117/12.3002093
Event: SPIE Quantum West, 2024, San Francisco, California, United States

Abstract

The Stern–Gerlach experiment stands as one of the fundamental demonstrations of quantum phenomena. A successive combination of Stern–Gerlach apparatuses was first explored as a gedankenexperiment by Heisenberg to study angular momentum quantization further; later a detailed experiment was proposed by Einstein to Stern and Ehrenfest. Here, we numerically study the spin flip in the Frisch–Segrè experiment, the first successful multi-stage Stern–Gerlach experiment, within the context of the novel co-quantum dynamics theory. Despite early attempts by P. Güttinger, E. Majorana, I.I. Rabi, L. Landau, C. Zener, and E. Stückelberg among others, theoretical descriptions deviate from the Frisch and Segrè observations. We model the middle stage responsible for spin rotation by sampling the atoms with the Monte Carlo method and solving the dynamics of the electron and nuclear magnetic moments numerically according to the Bloch equation. The simulated dynamics shows that co-quantum dynamics closely reproduces, without using any fitting parameters, the experimental observations reported by Frisch and Segrè in 1933, which have so far lacked theoretical predictions using the standard theories.

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Kelvin Titimbo, David C. Garrett, S. Suleyman Kahraman, Zhe He, and Lihong V. Wang "Modeling of the multi-stage Stern–Gerlach experiment by Frisch and Segrè using co-quantum dynamics via the Bloch equation", Proc. SPIE PC12912, Quantum Sensing, Imaging, and Precision Metrology II, PC129122F (13 March 2024); https://doi.org/10.1117/12.3002093

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KEYWORDS

Quantum experiments

Modeling

Chemical species

Magnetism

Data modeling

Monte Carlo methods

Potassium

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