Thermodynamics of analogue black holes in a non-Hermitian tight-binding model
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915900401123328 |
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| author | Munoz-Arboleda, D. F. Stålhammar, M. Smith, C. Morais |
| author_facet | Munoz-Arboleda, D. F. Stålhammar, M. Smith, C. Morais |
| contents | We present a non-Hermitian model with gain/loss and non-reciprocal 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 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_03826 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Thermodynamics of analogue black holes in a non-Hermitian tight-binding model Munoz-Arboleda, D. F. Stålhammar, M. Smith, C. Morais Mesoscale and Nanoscale Physics General Relativity and Quantum Cosmology High Energy Physics - Theory We present a non-Hermitian model with gain/loss and non-reciprocal 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 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. |
| title | Thermodynamics of analogue black holes in a non-Hermitian tight-binding model |
| topic | Mesoscale and Nanoscale Physics General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2507.03826 |