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arXiv · 2304.14174

Analogue Hawking radiation as a tunneling in a two-level $\mathcal{PT}$-symmetric system

Bijan Bagchi·Rahul Ghosh·Sauvik Sen
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Abstract

In the light of a general scenario of a two-level non-Hermitian $\mathcal{PT}$-symmetric Hamiltonian we apply the tetrad-based method to analyze the possibility of analogue Hawking radiation. It is done by making use of the conventional null-geodesic approach wherein the associated Hawking radiation is described as a quantum tunneling process across a classically forbidden barrier which the event horizon imposes. An interesting aspect of our result is that our estimate for the tunneling probability is independent of the non-Hermitian parameter that defines the guiding Hamiltonian.

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Bijan Bagchi, Rahul Ghosh, Sauvik Sen. 2023-04-27. Analogue Hawking radiation as a tunneling in a two-level $\mathcal{PT}$-symmetric system. https://doi.org/10.3390/e25081202

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