Institutional Repository
Technical University of Crete
Technical University of Crete
EN
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EL
| URI | http://purl.tuc.gr/dl/dias/4451D1AD-79AC-4A2C-B3FB-701C889CEBD7 | - |
| Identifier | https://www.sciencedirect.com/science/article/pii/S0003491616301609?via%3Dihub | - |
| Identifier | https://doi.org/10.1016/j.aop.2016.08.013 | - |
| Language | en | - |
| Extent | 17 pages | en |
| Title | Dirac equation in 2-dimensional curved spacetime, particle creation, and coupled waveguide arrays | en |
| Creator | Koke Christian | en |
| Creator | Noh Changsuk | en |
| Creator | Aggelakis Dimitrios | en |
| Creator | Αγγελακης Δημητριος | el |
| Publisher | Elsevier | en |
| Content Summary | When quantum fields are coupled to gravitational fields, spontaneous particle creation may occur similarly to when they are coupled to external electromagnetic fields. A gravitational field can be incorporated as a background spacetime if the back-action of matter on the field can be neglected, resulting in modifications of the Dirac or Klein–Gordon equations for elementary fermions and bosons respectively. The semi-classical description predicts particle creation in many situations, including the expanding-universe scenario, near the event horizon of a black hole (the Hawking effect), and an accelerating observer in flat spacetime (the Unruh effect). In this work, we give a pedagogical introduction to the Dirac equation in a general 2D spacetime and show examples of spinor wave packet dynamics in flat and curved background spacetimes. In particular, we cover the phenomenon of particle creation in a time-dependent metric. Photonic analogs of these effects are then proposed, where classical light propagating in an array of coupled waveguides provides a visualisation of the Dirac spinor propagating in a curved 2D spacetime background. The extent to which such a single-particle description can be said to mimic particle creation is discussed. | en |
| Type of Item | Peer-Reviewed Journal Publication | en |
| Type of Item | Δημοσίευση σε Περιοδικό με Κριτές | el |
| License | http://creativecommons.org/licenses/by/4.0/ | en |
| Date of Item | 2018-06-28 | - |
| Date of Publication | 2016 | - |
| Subject | Coupled waveguide array | en |
| Subject | Curved spacetime | en |
| Subject | Dirac equation | en |
| Subject | Optical simulation | en |
| Subject | Particle creation | en |
| Bibliographic Citation | C. Koke, C. Noh and D. G. Angelakis, "Dirac equation in 2-dimensional curved spacetime, particle creation, and coupled waveguide arrays," Ann. Phys., vol. 374, pp. 162-178, Nov. 2016. doi: 10.1016/j.aop.2016.08.013 | en |
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