Inequivalence of stochastic and Bohmian arrival times in time-of-flight experiments

التفاصيل البيبلوغرافية
العنوان: Inequivalence of stochastic and Bohmian arrival times in time-of-flight experiments
المؤلفون: Naidon, Pascal
المصدر: Phys. Rev. A 109, 063312 (2024)
سنة النشر: 2024
المجموعة: Condensed Matter
Quantum Physics
مصطلحات موضوعية: Quantum Physics, Condensed Matter - Quantum Gases
الوصف: Motivated by a recent prediction [Com. Phys., 6, 195 (2023)] that time-of-flight experiments with ultracold atoms could test different interpretations of quantum mechanics, this work investigates the arrival times predicted by the stochastic interpretation, whereby quantum particles follow definite but non-deterministic and non-differentiable trajectories. The distribution of arrival times is obtained from a Fokker-Planck equation, and confirmed by direct simulation of trajectories. It is found to be in general different from the distribution predicted by the Bohmian interpretation, in which quantum particles follow definite deterministic and differentiable trajectories. This result suggests that trajectory-based interpretations of quantum mechanics could be experimentally discriminated.
Comment: 12 pages, 6 figures. Changes from v1: a few typos were corrected
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevA.109.063312
URL الوصول: http://arxiv.org/abs/2405.06324
رقم الأكسشن: edsarx.2405.06324
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevA.109.063312