Sáenz Pedro J, Cristea-Platon Tudor, Bush John W M
Department of Mathematics, University of North Carolina at Chapel Hill, Chapel Hill, NC 27599, USA.
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA.
Sci Adv. 2020 May 15;6(20):eaay9234. doi: 10.1126/sciadv.aay9234. eCollection 2020 May.
We present a macroscopic analog of an open quantum system, achieved with a classical pilot-wave system. Friedel oscillations are the angstrom-scale statistical signature of an impurity on a metal surface, concentric circular modulations in the probability density function of the surrounding electron sea. We consider a millimetric drop, propelled by its own wave field along the surface of a vibrating liquid bath, interacting with a submerged circular well. An ensemble of drop trajectories displays a statistical signature in the vicinity of the well that is strikingly similar to Friedel oscillations. The droplet trajectories reveal the dynamical roots of the emergent statistics. Our study elucidates a new mechanism for emergent quantum-like statistics in pilot-wave hydrodynamics and so suggests new directions for the nascent field of hydrodynamic quantum analogs.
我们展示了一个开放量子系统的宏观类似物，它是通过经典的导波系统实现的。弗里德尔振荡是金属表面杂质的埃尺度统计特征，是周围电子海概率密度函数中的同心圆形调制。我们考虑一个毫米级的液滴，由其自身的波场沿着振动液浴的表面推动，与一个浸没的圆形阱相互作用。一组液滴轨迹在阱附近显示出一种统计特征，与弗里德尔振荡惊人地相似。液滴轨迹揭示了这种涌现统计的动力学根源。我们的研究阐明了导波流体动力学中涌现类量子统计的一种新机制，从而为流体动力学量子模拟这个新兴领域提出了新的方向。
