Exotic Bohmian arrival times of spin-1/2 particles I-An analytical treatment
Siddhant Das, Markus N\"oth, and Detlef D\"urr
TL;DR
This paper provides an analytical treatment of Bohmian arrival times for spin-1/2 particles, demonstrating spin-dependent effects in time-of-arrival distributions with rigorously established predictions and new results for experimental comparison.
Contribution
It introduces a mathematically tractable variant of a Bohmian arrival time experiment, enabling rigorous analysis of spin-dependent effects in time-of-arrival distributions.
Findings
Spin dependence in Bohmian arrival times confirmed
Analytical model allows rigorous predictions
New results facilitate experimental comparison
Abstract
It is well known that orthodox quantum mechanics does not make unambiguous predictions for the statistics in arrival time (or time-of-flight) experiments. Bohmian mechanics (or de Broglie-Bohm theory) offers a distinct conceptual advantage in this regard, owing to the well defined concepts of point particles and trajectories embedded in this theory. We revisit a recently proposed experiment [S. Das and D. D\"urr, Sci. Rep. (2019)], the numerical analysis of which revealed a striking spin dependence in the (Bohmian) time-of-arrival distributions of a spin-1/2 particle. We present here a mathematically tractable variant of the same experiment, where the predicted effects can be established rigorously. We also obtain some new results that can be compared with experiment.
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