Quantum First Passage Time Problem-A Bohmian Perspective

2018/02/06 by Siddhant Das, Das, Siddhant
Physics and Astronomy · Computer Science · #Quantum Mechanics and Applications #Quantum Information and Cryptography #Cold Atom Physics and Bose-Einstein Condensates

paper · pdf · doi:10.48550/arxiv.1802.01863

Abstract

The prediction of arrival time or first passage time statistics of a quantum particle is an open problem, which challenges the foundations of quantum theory. One of the most promising and insightful approaches to this problem stems from the de Broglie-Bohm pilot-wave theory (a.k.a Bohmian mechanics). Applying the fundamental postulates of this theory, we analyze a simplified first passage time experiment and derive the empirical passage time distribution Π(τ). Implications of our results are also discussed.

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