Low-frequency analogue Hawking radiation: The Bogoliubov-de Gennes model
We analytically study the low-frequency properties of the analogue Hawking effect in Bose-Einstein condensates. We show that in one-dimensional flows displaying an analogue horizon, the Hawking effect is dominant in the low-frequency regime. This happens despite non vanishing greybody factors, that...
| Main Authors: | , |
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| Format: | Article |
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American Physical Society
2018
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| Online Access: | https://eprints.nottingham.ac.uk/49382/ |
| _version_ | 1848797984834191360 |
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| author | Coutant, Antonin Weinfurtner, Silke |
| author_facet | Coutant, Antonin Weinfurtner, Silke |
| author_sort | Coutant, Antonin |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We analytically study the low-frequency properties of the analogue Hawking effect in Bose-Einstein condensates. We show that in one-dimensional flows displaying an analogue horizon, the Hawking effect is dominant in the low-frequency regime. This happens despite non vanishing greybody factors, that is, the coupling of the Hawking mode and its partner to the mode propagating with the flow. To show this, we obtained analytical expressions for the scattering coefficients, in general flows and taking into account the full Bogoliubov dispersion relation. We discuss the obtained expressions for the greybody factors. In particular, we show that they can be significantly decreased if the flow obeys a conformal coupling condition. We argue that in the presence of a small but non-zero temperature, reducing greybody factors greatly facilitates the observation of entanglement, that is, establishing that the state of the Hawking mode and its partner is non-separable. |
| first_indexed | 2025-11-14T20:12:34Z |
| format | Article |
| id | nottingham-49382 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:12:34Z |
| publishDate | 2018 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-493822020-05-04T19:26:46Z https://eprints.nottingham.ac.uk/49382/ Low-frequency analogue Hawking radiation: The Bogoliubov-de Gennes model Coutant, Antonin Weinfurtner, Silke We analytically study the low-frequency properties of the analogue Hawking effect in Bose-Einstein condensates. We show that in one-dimensional flows displaying an analogue horizon, the Hawking effect is dominant in the low-frequency regime. This happens despite non vanishing greybody factors, that is, the coupling of the Hawking mode and its partner to the mode propagating with the flow. To show this, we obtained analytical expressions for the scattering coefficients, in general flows and taking into account the full Bogoliubov dispersion relation. We discuss the obtained expressions for the greybody factors. In particular, we show that they can be significantly decreased if the flow obeys a conformal coupling condition. We argue that in the presence of a small but non-zero temperature, reducing greybody factors greatly facilitates the observation of entanglement, that is, establishing that the state of the Hawking mode and its partner is non-separable. American Physical Society 2018-01-15 Article PeerReviewed Coutant, Antonin and Weinfurtner, Silke (2018) Low-frequency analogue Hawking radiation: The Bogoliubov-de Gennes model. Physical Review D, 97 (2). 025006. ISSN 2470-0029 https://journals.aps.org/prd/abstract/10.1103/PhysRevD.97.025006 doi:10.1103/PhysRevD.97.025006 doi:10.1103/PhysRevD.97.025006 |
| spellingShingle | Coutant, Antonin Weinfurtner, Silke Low-frequency analogue Hawking radiation: The Bogoliubov-de Gennes model |
| title | Low-frequency analogue Hawking radiation: The Bogoliubov-de Gennes model |
| title_full | Low-frequency analogue Hawking radiation: The Bogoliubov-de Gennes model |
| title_fullStr | Low-frequency analogue Hawking radiation: The Bogoliubov-de Gennes model |
| title_full_unstemmed | Low-frequency analogue Hawking radiation: The Bogoliubov-de Gennes model |
| title_short | Low-frequency analogue Hawking radiation: The Bogoliubov-de Gennes model |
| title_sort | low-frequency analogue hawking radiation: the bogoliubov-de gennes model |
| url | https://eprints.nottingham.ac.uk/49382/ https://eprints.nottingham.ac.uk/49382/ https://eprints.nottingham.ac.uk/49382/ |