论文标题
合成弯曲时空中机械波的重力镜头和隧道
Gravitational lensing and tunneling of mechanical waves in synthetic curved spacetime
论文作者
论文摘要
黑洞被认为是我们宇宙中最迷人的物体之一，因为在古典形式主义中，甚至没有光线都无法因重力而逃离附近。重力电势会导致光向孔弯曲，这是通过重力镜头知道的。在这里，我们基于机械回路的实验室规模二维网络，基于具有无与伦比的淋巴结倾斜曲线的类似凝结物形式主义的机械回路网络的合成实现。某些基础网络耦合被证明是不稳定和非重点的，并且通过整体稳定结构中的嵌入式主动反馈相互作用来实现。我们通过通过网络传播机械波袋，表现出具有编程的漏斗样电势，从而实现了向圆心中心的波浪弯曲，从而证明了镜头。然后，我们通过将其重新编程为通过事件范围模仿粒子的量子隧道来证明我们的平台的多功能性，这是通过霍金辐射所知的，从而达到了与孔中原始质量损失率的特殊对应关系。网络耦合和电势可以进一步重新编程，以实现其他曲率和相关的相对论现象。
Black holes are considered among the most fascinating objects that exist in our universe, since in the classical formalism nothing, even no light, can escape from their vicinity due to gravity. The gravitational potential causes the light to bend towards the hole, which is known by gravitational lensing. Here we present a synthetic realization of this phenomenon in a lab-scale two-dimensional network of mechanical circuits, based on analogous condensed matter formalism of Weyl semimetals with inhomogeneous nodal tilt profiles. Some of the underlying network couplings turn out as unstable and non-reciprocal, and are implemented by embedded active feedback interactions in an overall stabilized structure. We demonstrate the lensing by propagating mechanical wavepackets through the network with a programmed funnel-like potential, achieving wave bending towards the circle center. We then demonstrate the versatility of our platform by reprogramming it to mimic quantum tunneling of particles through the event horizon, known by Hawking radiation, achieving an exceptional correspondence to the original mass loss rate within the hole. The network couplings and the potential can be further reprogrammed to realize other curvatures and associated relativistic phenomena.
