A weak pseudo-Hermitian two band model, artificial Hawking radiation and tunneling

TL;DR

This paper proposes a non-PT-symmetric weakly pseudo-Hermitian two-band model with a tilting parameter to explore artificial Hawking radiation and calculates tunneling probabilities across an event horizon acting as a barrier.

Contribution

It introduces a novel two-band pseudo-Hermitian model with tilting parameter to study artificial Hawking radiation and tunneling phenomena.

Findings

Artificial Hawking radiation can be modeled using the proposed Hamiltonian.

Tunneling probability across the event horizon is derived from the model.

The model reveals new insights into non-Hermitian quantum systems and horizon tunneling.

Abstract

We examine the possibility of artificial Hawking radiation by proposing a non-PT - symmetric weakly pseudo-Hermitian two band model containing a tilting parameter. We also determine the tunneling probability using our Hamiltonian through the event horizon that acts as a classically forbidden barrier.