Publications

2021

PT symmetry-protected exceptional cones and analogue Hawking radiation

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

arXiv: 2106.05030v1 (2021) | Preprint | PDF

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.

Contact

Lise Meitner Research Group Flore Kunst

Max Planck Institute for the Science of Light
Staudtstr. 2
91058 Erlangen, Germany

flore.kunst@mpl.mpg.de

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