Hawking radiation in quantum Hall system with an expanding edge: application of anomaly method

• URL: http://arxiv.org/abs/2407.02796v2
• Date: Tue, 16 Jul 2024 19:06:21 GMT
• Title: Hawking radiation in quantum Hall system with an expanding edge: application of anomaly method
• Authors: Riku Yoshimoto, Yasusada Nambu,
• Abstract summary: We apply Wilczek and Robinson's method to an analogue de Sitter spacetime in the quantum Hall system with an expanding edge. Because this system is chiral, there is no need to impose the condition of ingoing modes near the horizon. We obtain the flux of Hawking radiation in the outer flat region with the Gibbons-Hawking temperature of the de Sitter horizon.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The relationship between gravitational anomalies and Hawking radiation of black holes was revealed by Wilczek and Robinson. In this study, we apply their method to an analogue de Sitter spacetime in the quantum Hall system with an expanding edge. Because this system is chiral, there is no need to impose the condition of ingoing modes near the horizon, which was assumed in the original method. Moreover, this system is structured so that the de Sitter space is sandwiched between two flat spaces, and although the effects of the anomaly would not appear in an ordinal de Sitter spacetime, they manifest themselves as boundary conditions between the de Sitter and the flat regions. By performing calculations under these boundary conditions, we obtain the flux of Hawking radiation in the outer flat region with the Gibbons-Hawking temperature of the de Sitter horizon.

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