Analogue Hawking Radiation as a Tunneling in a Two-Level PT-Symmetric System

Area of Science:

• Theoretical Physics
• Quantum Field Theory
• Analogue Gravity

Background:

• Non-Hermitian Hamiltonians and PT-symmetry are crucial in quantum mechanics.
• Analogue Hawking radiation provides a theoretical framework to study black hole phenomena.
• Quantum tunneling is a key concept in understanding particle emission from black holes.

Purpose of the Study:

• To investigate the possibility of analogue Hawking radiation in a two-level non-Hermitian PT-symmetric system.
• To analyze the Hawking radiation as a quantum tunneling process.
• To determine the influence of non-Hermitian parameters on Hawking radiation.

Main Methods:

• Application of the tetrad-based method.
• Utilizing the conventional null-geodesic approach.
• Describing Hawking radiation as quantum tunneling across a classically forbidden barrier.

Main Results:

• The tetrad-based method was successfully applied to a non-Hermitian PT-symmetric Hamiltonian.
• Hawking radiation was modeled as a quantum tunneling process.
• The estimated tunneling probability for analogue Hawking radiation is independent of the non-Hermitian parameter.

Conclusions:

• Analogue Hawking radiation is possible within the studied non-Hermitian PT-symmetric framework.
• The quantum tunneling probability offers a robust measure of Hawking radiation, unaffected by non-Hermiticity.
• This research contributes to understanding quantum phenomena in non-Hermitian systems and analogue gravity.