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Institutional Repository [SANDBOX]
Technical University of Crete
Technical University of Crete
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| URI: | http://purl.tuc.gr/dl/dias/222FDF75-11EF-4F56-A19D-EC586633D5A6 | ||
| Year | 2020 | ||
| Type of Item | Peer-Reviewed Journal Publication | ||
| License |
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| 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 https://doi.org/10.1103/PhysRevA.102.013514 | ||
| Appears in Collections |
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.
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