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Institutional Repository [SANDBOX]
Technical University of Crete
Technical University of Crete
EN
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EL
| URI | http://purl.tuc.gr/dl/dias/222FDF75-11EF-4F56-A19D-EC586633D5A6 | - |
| Identifier | https://doi.org/10.1103/PhysRevA.102.013514 | - |
| Identifier | https://journals.aps.org/pra/abstract/10.1103/PhysRevA.102.013514 | - |
| Language | en | - |
| Extent | 15 pages | el |
| Title | Dirac equation on a square waveguide lattice with site-dependent coupling strengths and the gravitational Aharonov-Bohm effect | en |
| Creator | Koke Christian | en |
| Creator | Noh Changsuk | en |
| Creator | Aggelakis Dimitrios | en |
| Creator | Αγγελακης Δημητριος | el |
| Publisher | American Physical Society | en |
| Content Summary | The main objective of this work is to present a theoretical proposal for an implementation of the (2+1)-dimensional Dirac equation in classical gravitational and electromagnetic backgrounds, in a two-dimensional waveguide array. For this, a framework for achieving site-dependent effective coupling constants in two-dimensional waveguide arrays is developed. Implementability of the Dirac equation under the proposed scheme puts minor demands on gauge and spacetime backgrounds; however, a wide array of physical spacetimes, such as all vacuum and static solutions, prove to be implementable. As an interesting and instructive example, we discuss a tabletop realization of the gravitational Aharonov-Bohm effect: After devising a thought experiment in which signatures of the gravitational Aharonov-Bohm effect could be detected, we briefly discuss how the analog of such a setting can in principle be implemented using the proposed waveguide setup. | 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 | 2021-07-02 | - |
| Date of Publication | 2020 | - |
| Subject | (2+1)-dimensional Dirac equation | en |
| Subject | Site-dependent coupling constants | en |
| Subject | Gravitational Aharonov-Bohm effect | en |
| Bibliographic Citation | C. Koke, C. Noh, and D. G. Angelakis, “Dirac equation on a square waveguide lattice with site-dependent coupling strengths and the gravitational Aharonov-Bohm effect”, Phys. Rev. A, vol. 102, no. 1, Jul. 2020. doi: 10.1103/PhysRevA.102.013514 | en |
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