Foo Joshua, Asmodelle Estelle, Lund Austin P, Ralph Timothy C
Centre for Quantum Computation & Communication Technology, School of Mathematics & Physics, The University of Queensland, St. Lucia, QLD, 4072, Australia.
Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, 14195, Berlin, Germany.
Nat Commun. 2022 Jul 11;13(1):4002. doi: 10.1038/s41467-022-31608-6.
Bohmian mechanics is a nonlocal hidden-variable interpretation of quantum theory which predicts that particles follow deterministic trajectories in spacetime. Historically, the study of Bohmian trajectories has mainly been restricted to nonrelativistic regimes due to the widely held belief that the theory is incompatible with special relativity. Here, we present an approach for constructing the relativistic Bohmian-type velocity field of single particles. The advantage of our proposal is that it is operational in nature, grounded in weak measurements of the particle's momentum and energy. We apply our weak measurement formalism to obtain the relativistic spacetime trajectories of photons in a Michelson-Sagnac interferometer. The trajectories satisfy quantum-mechanical continuity and the relativistic velocity addition rule. We propose a modified Alcubierre metric which could give rise to these trajectories within the paradigm of general relativity.
玻姆力学是量子理论的一种非局域隐变量诠释，它预言粒子在时空中沿着确定性轨迹运动。从历史上看，由于人们普遍认为该理论与狭义相对论不相容，对玻姆轨迹的研究主要局限于非相对论情形。在此，我们提出一种构建单粒子相对论性玻姆型速度场的方法。我们提议的优势在于其本质上是可操作的，基于对粒子动量和能量的弱测量。我们应用弱测量形式体系来获得迈克尔逊 - 萨格纳克干涉仪中光子的相对论时空轨迹。这些轨迹满足量子力学连续性和相对论速度合成法则。我们提出一种修正的阿库别瑞度规，它能在广义相对论范式内产生这些轨迹。
