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arXiv:1607.03902 · Nature Physics

Topological quantum matter with ultracold gases in optical lattices

Nathan Goldman, Jan Carl Budich, P. Zoller

Published Jun 30, 2016• 702 citations
arXivHTMLPDF
DOI
10.1038/nphys3803

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Topological objects are interesting topics in various fields of physics ranging from condensed matter physics to the grand unified and superstring theories.Among those, ultracold atoms provide a playground to study the complex topological objects.In this paper we present a proposal to realize an optical lattice with stable fractionalized topological objects.In particular, we generate the fractionalized topological fluxes and fractionalized skyrmions on two-dimensional optical lattices and fractionalized monopoles on three-dimensional optical lattices.These results offer a new approach to study the quantum many-body systems on optical lattices of ultracold quantum gases with controllable topological defects, including dislocations, topological fluxes and monopoles.

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Topological objects are interesting topics in various fields of physics ranging from condensed matter physics to the grand unified and superstring theories.Among those, ultracold atoms provide a playground to study the complex topological objects.In this paper we present a proposal to realize an optical lattice with stable fractionalized topological objects.In particular, we generate the fractionalized topological fluxes and fractionalized skyrmions on two-dimensional optical lattices and fractionalized monopoles on three-dimensional optical lattices.These results offer a new approach to study the quantum many-body systems on optical lattices of ultracold quantum gases with controllable topological defects, including dislocations, topological fluxes and monopoles.