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Dirac equation on a square waveguide lattice with site-dependent coupling strengths and the gravitational Aharonov-Bohm effect

Koke Christian, Noh Changsuk, Aggelakis Dimitrios

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URIhttp://purl.tuc.gr/dl/dias/222FDF75-11EF-4F56-A19D-EC586633D5A6-
Identifierhttps://doi.org/10.1103/PhysRevA.102.013514-
Identifierhttps://journals.aps.org/pra/abstract/10.1103/PhysRevA.102.013514-
Languageen-
Extent15 pagesel
TitleDirac equation on a square waveguide lattice with site-dependent coupling strengths and the gravitational Aharonov-Bohm effecten
CreatorKoke Christianen
CreatorNoh Changsuken
CreatorAggelakis Dimitriosen
CreatorΑγγελακης Δημητριοςel
PublisherAmerican Physical Societyen
Content SummaryThe 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 ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2021-07-02-
Date of Publication2020-
Subject(2+1)-dimensional Dirac equationen
SubjectSite-dependent coupling constantsen
SubjectGravitational Aharonov-Bohm effecten
Bibliographic CitationC. 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.102.013514en

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