Anomaly Inflow in Quantum Hall System with an expanding edge: Application to Hawking radiation

Quantum Hall systems are well studied in condensed matter physics, both theoretically and experimentally. Recently, it was theoretically proposed that quantum Hall system could be a simulator of the expanding universe by focusing on the edge dynamics. Furthermore, it was pointed out that the expanding edges might form a horizon and simulate the emission of analog Hawking radiation. This work has inspired several studies on the emission of Hawking radiation in the quantum Hall system with the expanding edge. In this talk, we present our work explaining Hawking radiation in the quantum Hall systems in terms of anomaly. In this system, the components of energy-momentum tensor is calculated by the idea of anomaly inflow. By using this energy-momentum tensor, we show that the thermal flux corresponds to Hawking radiation from the condition for the anomaly cancellation of the conservation law of the energy-momentum tensor.