Expanding edges of quantum Hall systems in a cosmology language: Hawking radiation from de Sitter horizon in edge modes

Abstract

Expanding edge experiments are promising to open new physics windows of\nquantum Hall systems. In a static edge, the edge excitation, which is described\nby free fields decoupled with the bulk dynamics, is gapless, and the dynamics\npreserve conformal symmetry. When the edge expands, such properties need not be\npreserved. We formulate a quantum field theory in 1+1 dimensional curved\nspacetimes to analyze the edge dynamics. We propose methods to address the\nfollowing questions using edge waveforms from the expanding region: Does the\nconformal symmetry survive? Is the nonlinear interaction of the edge\nexcitations induced by edge expansion? Do the edge excitations interact with\nthe bulk excitations? We additionally show that the expanding edges can be\nregarded as expanding universe simulators of two-dimensional dilaton-gravity\nmodels, including the Jackiw-Teitelboim gravity model. As an application, we\npoint out that our theoretical setup might simulate emission of analog Hawking\nradiation with the Gibbons-Hawking temperature from the future de Sitter\nhorizon formed in the expanding edge region.\n