symmetry-protected exceptional cones and analogue Hawking radiation
Non-Hermitian Hamiltonians, which effectively describe dissipative systems, and analogue gravity models, which simulate properties of gravitational objects, comprise seemingly different areas of current research. Here, we investigate the interplay between the two by relating parity-time-symmetric di...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2023-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/acc6e5 |
| _version_ | 1797748693558886400 |
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| author | Marcus Stålhammar Jorge Larana-Aragon Lukas Rødland Flore K Kunst |
| author_facet | Marcus Stålhammar Jorge Larana-Aragon Lukas Rødland Flore K Kunst |
| author_sort | Marcus Stålhammar |
| collection | DOAJ |
| description | Non-Hermitian Hamiltonians, which effectively describe dissipative systems, and analogue gravity models, which simulate properties of gravitational objects, comprise seemingly different areas of current research. Here, we investigate the interplay between the two by relating parity-time-symmetric dissipative Weyl-type Hamiltonians to analogue Schwarzschild black holes emitting Hawking radiation. We show that the exceptional points of these Hamiltonians form tilted cones mimicking the behavior of the light cone of a radially infalling observer approaching a black hole horizon. We further investigate the presence of tunneling processes, reminiscent of those happening in black holes, in a concrete example model. We interpret the non-trivial result as the purely thermal contribution to analogue Hawking radiation in a Schwarzschild black hole. Assuming that our particular Hamiltonian models a photonic crystal, we discuss the concrete nature of the analogue Hawking radiation in this particular setup. |
| first_indexed | 2024-03-12T16:08:28Z |
| format | Article |
| id | doaj.art-65aafa021af146c68cde901ca8a35892 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:08:28Z |
| publishDate | 2023-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-65aafa021af146c68cde901ca8a358922023-08-09T14:14:27ZengIOP PublishingNew Journal of Physics1367-26302023-01-0125404301210.1088/1367-2630/acc6e5symmetry-protected exceptional cones and analogue Hawking radiationMarcus Stålhammar0https://orcid.org/0000-0003-4326-7293Jorge Larana-Aragon1Lukas Rødland2Flore K Kunst3Department of Physics, Stockholm University, AlbaNova University Center , 106 91 Stockholm, SwedenDepartment of Physics, Stockholm University, AlbaNova University Center , 106 91 Stockholm, SwedenDepartment of Physics, Stockholm University, AlbaNova University Center , 106 91 Stockholm, SwedenMax Planck Institute of Quantum Optics , Hans-Kopfermann-Straße 1, 85748 Garching, Germany; Max Planck Institute for the Science of Light , Staudtstraße 2, 91058 Erlangen, GermanyNon-Hermitian Hamiltonians, which effectively describe dissipative systems, and analogue gravity models, which simulate properties of gravitational objects, comprise seemingly different areas of current research. Here, we investigate the interplay between the two by relating parity-time-symmetric dissipative Weyl-type Hamiltonians to analogue Schwarzschild black holes emitting Hawking radiation. We show that the exceptional points of these Hamiltonians form tilted cones mimicking the behavior of the light cone of a radially infalling observer approaching a black hole horizon. We further investigate the presence of tunneling processes, reminiscent of those happening in black holes, in a concrete example model. We interpret the non-trivial result as the purely thermal contribution to analogue Hawking radiation in a Schwarzschild black hole. Assuming that our particular Hamiltonian models a photonic crystal, we discuss the concrete nature of the analogue Hawking radiation in this particular setup.https://doi.org/10.1088/1367-2630/acc6e5𝒫𝒯-symmetryanalogue Hawking radiationphotonic crystalsnon-Hermiticity |
| spellingShingle | Marcus Stålhammar Jorge Larana-Aragon Lukas Rødland Flore K Kunst symmetry-protected exceptional cones and analogue Hawking radiation New Journal of Physics 𝒫𝒯-symmetry analogue Hawking radiation photonic crystals non-Hermiticity |
| title | symmetry-protected exceptional cones and analogue Hawking radiation |
| title_full | symmetry-protected exceptional cones and analogue Hawking radiation |
| title_fullStr | symmetry-protected exceptional cones and analogue Hawking radiation |
| title_full_unstemmed | symmetry-protected exceptional cones and analogue Hawking radiation |
| title_short | symmetry-protected exceptional cones and analogue Hawking radiation |
| title_sort | symmetry protected exceptional cones and analogue hawking radiation |
| topic | 𝒫𝒯-symmetry analogue Hawking radiation photonic crystals non-Hermiticity |
| url | https://doi.org/10.1088/1367-2630/acc6e5 |
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