Optical simulation of quantum mechanics on the Möbius strip, Klein’s bottle and other manifolds, and Talbot effect
dc.contributor.author | Bělín, J | |
dc.contributor.author | Tyc, T | |
dc.contributor.author | Horsley, SAR | |
dc.date.accessioned | 2021-06-21T08:31:17Z | |
dc.date.issued | 2021-03-09 | |
dc.description.abstract | We analyse the evolution of the wavefunction of a quantum particle propagating on several compact manifolds, including the Klein bottle, Möbius strip and projective plane. We find analytically the stationary states and the energy spectrum and show that the wavefunction exhibits perfect revivals. Using the orbifold structure of the discussed manifolds, we establish the relation of wave evolution on the manifolds to Fresnel diffraction and consequently to the Talbot effect. This connection provides a novel method of optical simulation of the quantum motion on compact manifolds. We discuss some novel phenomena as well as the effects of topology on the properties of the waves on the manifolds. | en_GB |
dc.description.sponsorship | The Royal Society | en_GB |
dc.description.sponsorship | ESF | en_GB |
dc.identifier.citation | Vol. 23 (3), article 033003 | en_GB |
dc.identifier.doi | 10.1088/1367-2630/abe445 | |
dc.identifier.grantnumber | RPG-2016-186 | en_GB |
dc.identifier.grantnumber | CZ.02.2.69/0.0/0.0/18_053/0016962 | en_GB |
dc.identifier.uri | http://hdl.handle.net/10871/126113 | |
dc.language.iso | en | en_GB |
dc.publisher | IOP Publishing / Deutsche Physikalische Gesellschaft | en_GB |
dc.rights | © 2021 The Author(s). Published by IOP Publishing Ltd on behalf of theInstitute of Physics and Deutsche Physikalische Gesellschaft. Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. | en_GB |
dc.subject | curved spaces | en_GB |
dc.subject | quantum revivals | en_GB |
dc.subject | Talbot effect | en_GB |
dc.subject | topology | en_GB |
dc.subject | orbifolds | en_GB |
dc.title | Optical simulation of quantum mechanics on the Möbius strip, Klein’s bottle and other manifolds, and Talbot effect | en_GB |
dc.type | Article | en_GB |
dc.date.available | 2021-06-21T08:31:17Z | |
dc.identifier.issn | 1367-2630 | |
dc.description | This is the final version. Available from IOP Publishing / Deutsche Physikalische Gesellschaft via the DOI in this record. | en_GB |
dc.identifier.journal | New Journal of Physics | en_GB |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en_GB |
dcterms.dateAccepted | 2021-02-08 | |
exeter.funder | ::Royal Society (Charity) | en_GB |
rioxxterms.version | VoR | en_GB |
rioxxterms.licenseref.startdate | 2021-02-08 | |
rioxxterms.type | Journal Article/Review | en_GB |
refterms.dateFCD | 2021-06-21T08:22:25Z | |
refterms.versionFCD | VoR | |
refterms.dateFOA | 2021-06-21T08:33:15Z | |
refterms.panel | B | en_GB |
refterms.depositException | publishedGoldOA |
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Except where otherwise noted, this item's licence is described as © 2021 The Author(s). Published by IOP Publishing Ltd on behalf of theInstitute of Physics and Deutsche Physikalische Gesellschaft. Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.