Quantum mechanical modeling of the multi-stage Stern$unicode{x2013}$Gerlach experiment conducted by Frisch and Segrè

Kavli Affiliate: Lihong V. Wang

| First 5 Authors: S. Süleyman Kahraman, Kelvin Titimbo, Zhe He, Jung-Tsung Shen, Lihong V. Wang

| Summary:

Multi-stage Stern$unicode{x2013}$Gerlach experiments provide cascaded
quantum measurements. The multi-stage Stern$unicode{x2013}$Gerlach experiment
conducted by Frisch and Segr`e has been modeled analytically using quantum
mechanics by Majorana and revised by Rabi by including the hyperfine
interaction. However, the theoretical predictions do not match the experimental
observation well. Here, we numerically solve the standard quantum mechanical
model, via the von Neumann equation, that includes the hyperfine interaction
for the time evolution of the spin. Thus far, the coefficients of determination
from the standard quantum mechanical model without using free parameters are
still below zero, indicating a mismatch between theory and experiment.
Non-standard variants that improve the match are explored for discussion.

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