Numerical modeling of the multi-stage Stern–Gerlach experiment by Frisch and Segrè using co-quantum dynamics via the Schrödinger equation

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

doi:10.1117/12.3002106

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

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

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Proceedings Volume PC12912, Quantum Sensing, Imaging, and Precision Metrology II; PC129122G (2024) https://doi.org/10.1117/12.3002106
Event: SPIE Quantum West, 2024, San Francisco, California, United States

Abstract

The 1922 experiment of Stern and Gerlach that initially provided evidence of the quantization of the angular momentum is now a prototypical example of quantum measurement. Frisch and Segrè in 1932 extended the experiment to include two Stern–Gerlach apparatuses separated by an inner rotation chamber, in which a varying magnetic field produces partial electron spin flipping. To this day, quantum mechanical treatments inadequately predict the experimental observations. Here, we use a theory termed co-quantum dynamics (CQD) to numerically model spin flip in the multi-stage Stern–Gerlach experiment conducted by Frisch and Segrè. Our simulation solves the Schrödinger equation with electron-nuclear interactions according to CQD and utilizes a branching condition (extended Pauli exclusion principle) postulated by CQD to predict the collapse of electron spins; the outcome agrees with the measurements of the fraction of spin flipping and supports CQD as a potential model for electron spin evolution and collapse.

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Zhe He, Kelvin Titimbo, David C. Garrett, S. Suleyman Kahraman, and Lihong V. Wang "Numerical modeling of the multi-stage Stern–Gerlach experiment by Frisch and Segrè using co-quantum dynamics via the Schrödinger equation", Proc. SPIE PC12912, Quantum Sensing, Imaging, and Precision Metrology II, PC129122G (13 March 2024); https://doi.org/10.1117/12.3002106

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KEYWORDS

Magnetism

Quantum experiments

Numerical modeling

Quantum fields

Quantum physics

Quantum spin

Vacuum chambers

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