Department of Physics and Institute for Condensed Matter Theory, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801-3080, USA.
Phys Rev Lett. 2019 Oct 11;123(15):156802. doi: 10.1103/PhysRevLett.123.156802.
In this work, we propose the quantum Hall system as a platform for exploring black hole phenomena. By exhibiting deep rooted commonalities between the lowest Landau level and spacetime symmetries, we show that features of both quantum Hall and gravitational systems can be elegantly captured by a simple quantum mechanical model: the inverted harmonic oscillator. Through this correspondence, we argue that radiation phenomena in gravitational situations, such as presented by W. G. Unruh and S. Hawking, bear a parallel with saddle-potential scattering of quantum Hall quasiparticles. We also find that scattering by the quantum Hall saddle potential can mimic the signature quasinormal modes in black holes, such as theoretically demonstrated through Gaussian scattering off a Schwarzschild black hole by C. V. Vishveshwara. We propose a realistic quantum Hall point contact setup for probing these temporally decaying modes in quasiparticle tunneling, offering a new mesoscopic parallel for black hole ringdown.
在这项工作中，我们提出量子霍尔系统作为探索黑洞现象的平台。通过展示最低朗道能级和时空对称性之间根深蒂固的共同性，我们表明量子霍尔和引力系统的特征都可以通过一个简单的量子力学模型——倒置谐振子来优雅地捕捉。通过这种对应关系，我们认为引力情况下的辐射现象，如 W. G. Unruh 和 S. Hawking 提出的，与量子霍尔准粒子的鞍点散射具有相似性。我们还发现，量子霍尔鞍点散射可以模拟黑洞中的准正常模式，例如 C. V. Vishveshwara 通过高斯散射 Schwarzschild 黑洞理论上证明的那样。我们提出了一个现实的量子霍尔点接触设置，用于探测准粒子隧穿中的这些时间衰减模式，为黑洞的衰减提供了一个新的介观平行研究。
