PT symmetry-protected exceptional cones and analogue Hawking radiation

Stålhammar, Marcus; Larana-Aragon, Jorge; Rødland, Lukas; Kunst, Flore

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PT symmetry-protected exceptional cones and analogue Hawking radiation

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Stålhammar, M., Larana-Aragon, J., Rødland, L., & Kunst, F. (2021). PT symmetry-protected exceptional cones and analogue Hawking radiation. arXiv: 2106.05030v1.

Cite as: https://hdl.handle.net/21.11116/0000-0009-8F33-D

Abstract

We show that the exceptional surfaces of linear three-dimensional non-Hermitian parity-time-symmetric two-band models attain the form of topologically stable tilted exceptional cones. By relating the exceptional cones to energy cones of two-dimensional Hermitian parity-time-symmetric two-band models, we find a connection between the exceptional cone and the light cone of an observer in the vicinity of a Schwarzschild black hole. When the cone overtilts, light-like particle-antiparticle pairs are created resembling Hawking radiation. We also investigate dissipative features of the non-Hermitian Hamiltonian related to the latter and comment on potential realizations in laboratory setups.