Chaos and band structure in a three-dimensional optical lattice

dc.contributor.utaustinauthorBoretz, Yingyueen_US
dc.contributor.utaustinauthorReichl, L. E.en_US
dc.creatorBoretz, Yingyueen_US
dc.creatorReichl, L. E.en_US
dc.date.accessioned2017-07-18T20:11:10Z
dc.date.available2017-07-18T20:11:10Z
dc.date.issued2015-04en_US
dc.description.abstractClassical chaos is known to affect wave propagation because it signifies the presence of broken symmetries. The effect of chaos has been observed experimentally for matter waves, electromagnetic waves, and acoustic waves. When these three types of waves propagate through a spatially periodic medium, the allowed propagation energies form bands. For energies in the band gaps, no wave propagation is possible. We show that optical lattices provide a well-defined system that allows a study of the effect of chaos on band structure. We have determined the band structure of a body-centered-cubic optical lattice for all theoretically possible couplings, and we find that the band structure for those lattices realizable in the laboratory differs significantly from that expected for the bands in an "empty" body-centered-cubic crystal. However, as coupling is increased, the lattice becomes increasingly chaotic and it becomes possible to produce band structure that has behavior qualitatively similar to the "empty" body-centered-cubic band structure, although with fewer degeneracies.en_US
dc.description.departmentPhysicsen_US
dc.description.sponsorshipWelch Foundation F-1051en_US
dc.identifierdoi:10.15781/T2Z31P426
dc.identifier.citationBoretz, Yingyue, and L. E. Reichl. "Chaos and band structure in a three-dimensional optical lattice." Physical Review E 91, no. 4 (2015): 042901.en_US
dc.identifier.doi10.1103/PhysRevE.91.042901en_US
dc.identifier.issn1539-3755en_US
dc.identifier.urihttp://hdl.handle.net/2152/61163
dc.language.isoEnglishen_US
dc.relation.ispartofUT Faculty/Researcher Worksen_US
dc.relation.ispartofserialPhysical Review Een_US
dc.rightsAdministrative deposit of works to Texas ScholarWorks: This works author(s) is or was a University faculty member, student or staff member; this article is already available through open access or the publisher allows a PDF version of the article to be freely posted online. The library makes the deposit as a matter of fair use (for scholarly, educational, and research purposes), and to preserve the work and further secure public access to the works of the University.en_US
dc.rights.restrictionopenen_US
dc.subjectkolmogorov-entropyen_US
dc.subjectwaveen_US
dc.subjectgasesen_US
dc.subjectgapen_US
dc.titleChaos and band structure in a three-dimensional optical latticeen_US
dc.typeArticleen_US
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