Unruh-DeWitt detector response across a Rindler firewall is finite
We investigate a two-level Unruh-DeWitt detector coupled to a massless scalar field or its proper time derivative in (1 + 1)-dimensional Minkowski spacetime, in a quantum state whose correlation structure across the Rindler horizon mimics the stationary aspects of a firewall that Almheiri et al. hav...
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| Format: | Article |
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Springer Verlag
2014
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| Online Access: | https://eprints.nottingham.ac.uk/47126/ |
| _version_ | 1848797472807190528 |
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| author | Louko, Jorma |
| author_facet | Louko, Jorma |
| author_sort | Louko, Jorma |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We investigate a two-level Unruh-DeWitt detector coupled to a massless scalar field or its proper time derivative in (1 + 1)-dimensional Minkowski spacetime, in a quantum state whose correlation structure across the Rindler horizon mimics the stationary aspects of a firewall that Almheiri et al. have argued to ensue in an evaporating black hole spacetime. Within first-order perturbation theory, we show that the detector’s response on falling through the horizon is sudden but finite. The difference from the Minkowski vacuum response is proportional to ω−2 ln(|ω|) for the non-derivative detector and to ln(|ω|) for the derivative-coupling detector, both in the limit of a large energy gap ω and in the limit of adiabatic switching. Adding to the quantum state high Rindler temperature excitations behind the horizon increases the detector’s response proportionally to the temperature; this situation has been suggested to model the energetic curtain proposal of Braunstein et al. We speculate that the (1 + 1)-dimensional derivative-coupling detector may be a good model for a non-derivative detector that crosses a firewall in 3 + 1 dimensions. |
| first_indexed | 2025-11-14T20:04:25Z |
| format | Article |
| id | nottingham-47126 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:04:25Z |
| publishDate | 2014 |
| publisher | Springer Verlag |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-471262020-05-04T16:53:33Z https://eprints.nottingham.ac.uk/47126/ Unruh-DeWitt detector response across a Rindler firewall is finite Louko, Jorma We investigate a two-level Unruh-DeWitt detector coupled to a massless scalar field or its proper time derivative in (1 + 1)-dimensional Minkowski spacetime, in a quantum state whose correlation structure across the Rindler horizon mimics the stationary aspects of a firewall that Almheiri et al. have argued to ensue in an evaporating black hole spacetime. Within first-order perturbation theory, we show that the detector’s response on falling through the horizon is sudden but finite. The difference from the Minkowski vacuum response is proportional to ω−2 ln(|ω|) for the non-derivative detector and to ln(|ω|) for the derivative-coupling detector, both in the limit of a large energy gap ω and in the limit of adiabatic switching. Adding to the quantum state high Rindler temperature excitations behind the horizon increases the detector’s response proportionally to the temperature; this situation has been suggested to model the energetic curtain proposal of Braunstein et al. We speculate that the (1 + 1)-dimensional derivative-coupling detector may be a good model for a non-derivative detector that crosses a firewall in 3 + 1 dimensions. Springer Verlag 2014-09-24 Article PeerReviewed Louko, Jorma (2014) Unruh-DeWitt detector response across a Rindler firewall is finite. Journal of High Energy Physics, 2014 (9). ISSN 1029-8479 Models of Quantum Gravity Black Holes Field Theories in Lower Dimensions https://link.springer.com/article/10.1007%2FJHEP09%282014%29142 doi:10.1007/JHEP09(2014)142 doi:10.1007/JHEP09(2014)142 |
| spellingShingle | Models of Quantum Gravity Black Holes Field Theories in Lower Dimensions Louko, Jorma Unruh-DeWitt detector response across a Rindler firewall is finite |
| title | Unruh-DeWitt detector response across a Rindler firewall is finite |
| title_full | Unruh-DeWitt detector response across a Rindler firewall is finite |
| title_fullStr | Unruh-DeWitt detector response across a Rindler firewall is finite |
| title_full_unstemmed | Unruh-DeWitt detector response across a Rindler firewall is finite |
| title_short | Unruh-DeWitt detector response across a Rindler firewall is finite |
| title_sort | unruh-dewitt detector response across a rindler firewall is finite |
| topic | Models of Quantum Gravity Black Holes Field Theories in Lower Dimensions |
| url | https://eprints.nottingham.ac.uk/47126/ https://eprints.nottingham.ac.uk/47126/ https://eprints.nottingham.ac.uk/47126/ |