Walking droplets correlated at a distance.
Walking droplets correlated at a distance.
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行走的水滴在一定距离内相关。
作者：
A. Nachbin
弹跳的液滴可以在振动浴的表面上行走，形成波粒缔合。行走的液滴有许多类似量子的特征。研究工作正在不断探索量子类似物及其局限性。在这里，我们证明了两个振荡粒子（毫米液滴）局限于单独的潜在威尔斯表现出相关的动力学特征，即使分开了很大的距离。一个关键特征是潜在的波介导动力学。粒子的相空间动力学是由系统作为一个整体给出的，不能单独描述。数值相空间直方图显示统计相干性;粒子在相空间中的复杂分布在统计上是不可区分的。然而，移除一个粒子会完全改变相空间图像，这让人想起纠缠。这里提出的模型也涉及到非线性耦合的振荡器，同步可以自发地爆发。本发明的耦合器耦合是动态的，并且可以通过底层波场改变强度，这与例如其中耦合被预定义的仓本模型相反。有一些制度，我们观察到的相位锁定，或更一般地说，制度的振荡器是统计上不可区分的相空间，其中数值直方图显示其（相互）最可能的振幅和相位。
Bouncing fluid droplets can walk on the surface of a vibrating bath forming a wave-particle association. Walking droplets have many quantum-like features. Research efforts are continuously exploring quantum analogues and respective limitations. Here, we demonstrate that two oscillating particles (millimetric droplets) confined to separate potential wells exhibit correlated dynamical features, even when separated by a large distance. A key feature is the underlying wave mediated dynamics. The particles' phase space dynamics is given by the system as a whole and cannot be described independently. Numerical phase space histograms display statistical coherence; the particles' intricate distributions in phase space are statistically indistinguishable. However, removing one particle changes the phase space picture completely, which is reminiscent of entanglement. The model here presented also relates to nonlinearly coupled oscillators where synchronization can break out spontaneously. The present oscillator-coupling is dynamic and can change intensity through the underlying wave field as opposed to, for example, the Kuramoto model where the coupling is pre-defined. There are some regimes where we observe phase-locking or, more generally, regimes where the oscillators are statistically indistinguishable in phase-space, where numerical histograms display their (mutual) most likely amplitude and phase.