2019/01/24 by Siddhant Das, Markus Nöth, Detlef Dürr · 34 citations
Computer Science · Engineering · Physics and Astronomy · #Aerospace engineering #Cold Atom Physics and Bose-Einstein Condensates #Engineering #Physics #Quantum Information and Cryptography #Quantum Mechanics and Applications #Spin (aerodynamics) #quant-ph
paper · pdf · doi:10.1103/physreva.99.052124
published in Physical Review A 99(5) (American Physical Society)
arxiv created 2019/01/24 · openalex created_date 2019/02/21 · openalex publication_date 2019/05/28 · arxiv updated 2019/06/05 · openalex updated_date 2026/08/05
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. 9, 2242 (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 results that can be compared with experiment.