Universal quantum Hawking evaporation of integrable two-dimensional solitons
We show that any soliton solution of an arbitrary two-dimensional integrable equation has the potential to eventually evaporate and emit the exact analogue of Hawking radiation from black holes. From the AKNS matrix formulation of integrability, we show that it is possible to associate a real spacet...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2019-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ab1bf5 |
| _version_ | 1827872584626077696 |
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| author | Charles W Robson Leone Di Mauro Villari Fabio Biancalana |
| author_facet | Charles W Robson Leone Di Mauro Villari Fabio Biancalana |
| author_sort | Charles W Robson |
| collection | DOAJ |
| description | We show that any soliton solution of an arbitrary two-dimensional integrable equation has the potential to eventually evaporate and emit the exact analogue of Hawking radiation from black holes. From the AKNS matrix formulation of integrability, we show that it is possible to associate a real spacetime metric tensor which defines a curved surface, perceived by the classical and quantum fluctuations propagating on the soliton. By defining proper scalar invariants of the associated Riemannian geometry, and introducing the conformal anomaly, we are able to determine the Hawking temperatures and entropies of the fundamental solitons of the nonlinear Schrödinger, KdV and sine-Gordon equations. The mechanism advanced here is simple, completely universal and can be applied to all integrable equations in two dimensions, and is easily applicable to a large class of black holes of any dimensionality, opening up totally new windows on the quantum mechanics of solitons and their deep connections with black hole physics. |
| first_indexed | 2024-03-12T16:26:04Z |
| format | Article |
| id | doaj.art-060fa7e7272a49c49c91fd4fc67e5ecb |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:26:04Z |
| publishDate | 2019-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-060fa7e7272a49c49c91fd4fc67e5ecb2023-08-08T15:41:29ZengIOP PublishingNew Journal of Physics1367-26302019-01-0121505304210.1088/1367-2630/ab1bf5Universal quantum Hawking evaporation of integrable two-dimensional solitonsCharles W Robson0https://orcid.org/0000-0002-8789-0055Leone Di Mauro Villari1https://orcid.org/0000-0002-8960-6257Fabio Biancalana2https://orcid.org/0000-0002-4093-7688School of Engineering and Physical Sciences, Heriot-Watt University , EH14 4AS Edinburgh, United KingdomSchool of Engineering and Physical Sciences, Heriot-Watt University , EH14 4AS Edinburgh, United KingdomSchool of Engineering and Physical Sciences, Heriot-Watt University , EH14 4AS Edinburgh, United KingdomWe show that any soliton solution of an arbitrary two-dimensional integrable equation has the potential to eventually evaporate and emit the exact analogue of Hawking radiation from black holes. From the AKNS matrix formulation of integrability, we show that it is possible to associate a real spacetime metric tensor which defines a curved surface, perceived by the classical and quantum fluctuations propagating on the soliton. By defining proper scalar invariants of the associated Riemannian geometry, and introducing the conformal anomaly, we are able to determine the Hawking temperatures and entropies of the fundamental solitons of the nonlinear Schrödinger, KdV and sine-Gordon equations. The mechanism advanced here is simple, completely universal and can be applied to all integrable equations in two dimensions, and is easily applicable to a large class of black holes of any dimensionality, opening up totally new windows on the quantum mechanics of solitons and their deep connections with black hole physics.https://doi.org/10.1088/1367-2630/ab1bf5solitonsanalogue gravitynonlinear wavesthermodynamicsblack holes |
| spellingShingle | Charles W Robson Leone Di Mauro Villari Fabio Biancalana Universal quantum Hawking evaporation of integrable two-dimensional solitons New Journal of Physics solitons analogue gravity nonlinear waves thermodynamics black holes |
| title | Universal quantum Hawking evaporation of integrable two-dimensional solitons |
| title_full | Universal quantum Hawking evaporation of integrable two-dimensional solitons |
| title_fullStr | Universal quantum Hawking evaporation of integrable two-dimensional solitons |
| title_full_unstemmed | Universal quantum Hawking evaporation of integrable two-dimensional solitons |
| title_short | Universal quantum Hawking evaporation of integrable two-dimensional solitons |
| title_sort | universal quantum hawking evaporation of integrable two dimensional solitons |
| topic | solitons analogue gravity nonlinear waves thermodynamics black holes |
| url | https://doi.org/10.1088/1367-2630/ab1bf5 |
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