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

• URL: http://arxiv.org/abs/2304.14174v2
• Date: Tue, 15 Aug 2023 03:05:27 GMT
• Title: Analogue Hawking radiation as a tunneling in a two-level $\mathcal{PT}$-symmetric system
• Authors: Bijan Bagchi, Rahul Ghosh, Sauvik Sen
• Abstract summary: 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.
• Score: 2.486161976966064
• License: http://creativecommons.org/publicdomain/zero/1.0/
• 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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