论文标题
宇宙学语言中Quantum Hall系统的扩展边缘 - 边缘模式下的Sitter Horizon的鹰辐射
Expanding Edges of Quantum Hall Systems in a Cosmology Language -- Hawking Radiation from de Sitter Horizon in Edge Modes
论文作者
论文摘要
扩展的边缘实验有望打开量子厅系统的新物理窗口。在静态边缘中，通过与散装动力学分解的自由场描述的边缘激发是无间隙的，动力学保留了保形对称性。当边缘扩展时，不必保留此类属性。我们在1+1维弯曲的空间中制定量子场理论，以分析边缘动力学。我们提出了使用扩展区域的边缘波形来解决以下问题的方法：共形对称性是否可以生存？边缘膨胀引起的边缘激发的非线性相互作用是吗？边缘激发与散装激发相互作用吗？我们还表明，扩展的边缘可以被视为二维Dilaton-Gravity模型的扩展宇宙模拟器，包括Jackiw-Teitelboim Gravity模型。作为应用程序，我们指出，我们的理论设置可能会模拟模拟鹰辐射的发射，而吉本斯的温度是从未来的de Sitter Horizon中形成的，在扩展的边缘区域中形成。
Expanding edge experiments are promising to open new physics windows of quantum Hall systems. In a static edge, the edge excitation, which is described by free fields decoupled with the bulk dynamics, is gapless, and the dynamics preserve conformal symmetry. When the edge expands, such properties need not be preserved. We formulate a quantum field theory in 1+1 dimensional curved spacetimes to analyze the edge dynamics. We propose methods to address the following questions using edge waveforms from the expanding region: Does the conformal symmetry survive? Is the nonlinear interaction of the edge excitations induced by edge expansion? Do the edge excitations interact with the bulk excitations? We additionally show that the expanding edges can be regarded as expanding universe simulators of two-dimensional dilaton-gravity models, including the Jackiw-Teitelboim gravity model. As an application, we point out that our theoretical setup might simulate emission of analog Hawking radiation with the Gibbons-Hawking temperature from the future de Sitter horizon formed in the expanding edge region.
