Thermodynamics of analogue black holes in a non-Hermitian tight-binding model
Abstract
We present a non-Hermitian model with gain/loss and nonreciprocal next-nearest-neighbor hopping that emulates black-hole physics. The model describes a one-dimensional lattice with a smooth connection between regions with distinct hopping parameters. By mapping the system to an effective Schwarzschild metric in the Painlevé-Gullstrand coordinates, we find that the interface is an analogue to a black-hole event horizon. We obtain emission rates for particles and antiparticles, the Hawking temperature, the Bekenstein-Hawking entropy, and the mass of the analogue black hole as a function of the interface sharpness and the system parameters. An experimental realization of the theoretical model is proposed, thus opening the way to the detection of elusive black-hole features.
Fields of Study & Subjects
Quantum Mechanics and Non-Hermitian Physics
Black Holes and Theoretical Physics
Nonlinear Waves and Solitons
Publication details
- Journal / source
- Physical review. B./Physical review. B
- Publisher
- American Physical Society (APS)
- Volume
- 113
- Issue
- 8
- Publication date
- 22 January 2026
- Language
- EN