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arXiv · 1610.00102

Observing Nonclassical Paths by Measuring Bohmian Velocities in Multi-Slit Interferometer with Electron

Xiuzhe Luo·Zhiyuan Wei·Yongjian Han·Chuanfeng Li·Guangcan Guo
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Abstract

Superposition principle of wave function in multi-slit interference experiment has been widely accepted by many quantum mechanics textbooks, however the expression ${\psi _{AB}} = {\psi _A} + {\psi _B}$ does not strictly hold. The non-classical paths in Feynman path integral provide an explanation to the multi-path interference effect, and can be used to quantitatively analyse the multi-slit interference effect. In this work, we apply quantities in Bohmian mechanics to the measurement of multi-order interference by analysing the contribution of non-classical paths to Bohmian velocity in electron's multi-slit interferometer. The result shows that the non-classical paths effect will cause a relative deviation of $10^{-3}$ in electron's Bohmian velocity, which is observable by doing weak measurement similar to previous work.

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Xiuzhe Luo, Zhiyuan Wei, Yongjian Han, Chuanfeng Li, Guangcan Guo. 2016-10-01. Observing Nonclassical Paths by Measuring Bohmian Velocities in Multi-Slit Interferometer with Electron. https://arxiv.org/abs/1610.00102

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