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Expanding edge experiments are promising to open new physics windows ofquantum Hall systems. In a static edge, the edge excitation, which is describedby free fields decoupled with the bulk dynamics, is gapless, and the dynamicspreserve conformal symmetry. When the edge expands, such properties need not bepreserved. We formulate a quantum field theory in 1+1 dimensional curvedspacetimes to analyze the edge dynamics. We propose methods to address thefollowing questions using edge waveforms from the expanding region: Does theconformal symmetry survive? Is the nonlinear interaction of the edgeexcitations induced by edge expansion? Do the edge excitations interact withthe bulk excitations? We additionally show that the expanding edges can beregarded as expanding universe simulators of two-dimensional dilaton-gravitymodels, including the Jackiw-Teitelboim gravity model. As an application, wepoint out that our theoretical setup might simulate emission of analog Hawkingradiation with the Gibbons-Hawking temperature from the future de Sitterhorizon formed in the expanding edge region.

Expanding Edges of Quantum Hall Systems in a Cosmology Language -- Hawking Radiation from de Sitter Horizon in Edge Modes