Haldane model with chiral edge states using a synthetic dimension

Joel Priestley, Gerard Valentí-Rojas, Patrik Öhberg

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Abstract

We explicitly show that the differences, with respect to the appearance of topological phases, between the traditional Haldane model, which utilizes a honeycomb lattice structure, and the Haldane model imbued onto a brick-wall lattice geometry are inconsequential. A proposal is then put forward to realize the Haldane model by exploiting the internal degrees of freedom of atoms as a synthetic dimension. This leads to a convenient platform for the investigation of chiral edge states due to the hard boundaries provided by the hyperfine manifold. We make some cursory comments on the effects of interactions in the system.

Original languageEnglish
Article number023322
JournalPhysical Review A
Volume109
Issue number2
DOIs
Publication statusPublished - 20 Feb 2024

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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