Negative frequencies and negative norms in analogue Hawking radiation systems
In this work, we study the core concepts of Hawking radiation in the astrophysical and analogue systems. We focus on negative frequencies and negative norms: their definition, their relationship, and their role in the particle creation process of the Hawking effect. We characterize the dispersion re...
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Académie des sciences
2024-04-01
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| Series: | Comptes Rendus. Physique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.177/ |
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| author | Aguero-Santacruz, Raul Bermudez, David |
| author_facet | Aguero-Santacruz, Raul Bermudez, David |
| author_sort | Aguero-Santacruz, Raul |
| collection | DOAJ |
| description | In this work, we study the core concepts of Hawking radiation in the astrophysical and analogue systems. We focus on negative frequencies and negative norms: their definition, their relationship, and their role in the particle creation process of the Hawking effect. We characterize the dispersion relation by the signs of the frequency and the norm. We conclude that the most natural frame for studying the Hawking effect is that in which the horizon is static, where the sign of the norm can be made equal to the sign of the Doppler-shifted frequency in that frame. We use as examples the four most successful experimental analogue systems: water waves, Bose–Einstein condensates, polaritons fluids, and optical fibers. |
| format | Article |
| id | doaj-art-ce60b0501d9143ac8892a90eca4a5635 |
| institution | Kabale University |
| issn | 1878-1535 |
| language | English |
| publishDate | 2024-04-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Physique |
| spelling | doaj-art-ce60b0501d9143ac8892a90eca4a56352025-02-07T13:54:01ZengAcadémie des sciencesComptes Rendus. Physique1878-15352024-04-0111710.5802/crphys.17710.5802/crphys.177Negative frequencies and negative norms in analogue Hawking radiation systemsAguero-Santacruz, Raul0https://orcid.org/0000-0001-6897-7633Bermudez, David1https://orcid.org/0000-0002-2977-0303Department of Physics, Cinvestav, A.P. 14-740, 07000 Ciudad de México, MexicoDepartment of Physics, Cinvestav, A.P. 14-740, 07000 Ciudad de México, MexicoIn this work, we study the core concepts of Hawking radiation in the astrophysical and analogue systems. We focus on negative frequencies and negative norms: their definition, their relationship, and their role in the particle creation process of the Hawking effect. We characterize the dispersion relation by the signs of the frequency and the norm. We conclude that the most natural frame for studying the Hawking effect is that in which the horizon is static, where the sign of the norm can be made equal to the sign of the Doppler-shifted frequency in that frame. We use as examples the four most successful experimental analogue systems: water waves, Bose–Einstein condensates, polaritons fluids, and optical fibers.https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.177/analogue gravitynegative frequencynegative normHawking radiationoptical pulseBose–Einstein condensatepolariton |
| spellingShingle | Aguero-Santacruz, Raul Bermudez, David Negative frequencies and negative norms in analogue Hawking radiation systems Comptes Rendus. Physique analogue gravity negative frequency negative norm Hawking radiation optical pulse Bose–Einstein condensate polariton |
| title | Negative frequencies and negative norms in analogue Hawking radiation systems |
| title_full | Negative frequencies and negative norms in analogue Hawking radiation systems |
| title_fullStr | Negative frequencies and negative norms in analogue Hawking radiation systems |
| title_full_unstemmed | Negative frequencies and negative norms in analogue Hawking radiation systems |
| title_short | Negative frequencies and negative norms in analogue Hawking radiation systems |
| title_sort | negative frequencies and negative norms in analogue hawking radiation systems |
| topic | analogue gravity negative frequency negative norm Hawking radiation optical pulse Bose–Einstein condensate polariton |
| url | https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.177/ |
| work_keys_str_mv | AT aguerosantacruzraul negativefrequenciesandnegativenormsinanaloguehawkingradiationsystems AT bermudezdavid negativefrequenciesandnegativenormsinanaloguehawkingradiationsystems |