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Topological properties of a dense atomic lattice gas

Bettles, Robert J.; Minář, Jiří; Adams, Charles S.; Lesanovsky, Igor; Olmos, Beatriz

Authors

Robert J. Bettles

Jiří Minář J.Minar@nottingham.ac.uk

Charles S. Adams

Igor Lesanovsky igor.lesanovsky@nottingham.ac.uk

Beatriz Olmos beatriz.olmos-sanchez@nottingham.ac.uk



Abstract

We investigate the existence of topological phases in a dense two-dimensional atomic lattice gas. The coupling of the atoms to the radiation field gives rise to dissipation and a non-trivial coherent long-range exchange interaction whose form goes beyond a simple power-law. The far-field terms of the potential -- which are particularly relevant for atomic separations comparable to the atomic transition wavelength -- can give rise to energy spectra with one-sided divergences in the Brillouin zone. The long-ranged character of the interactions has another important consequence: it can break the standard bulk-boundary relation in topological insulators. We show that topological properties such as the transport of an excitation along the edge of the lattice are robust with respect to the presence of lattice defects and dissipation. The latter is of particular relevance as dissipation and coherent interactions are inevitably connected in our setting.

Journal Article Type Article
Publication Date Oct 10, 2017
Journal Physical Review A
Print ISSN 2469-9926
Electronic ISSN 2469-9934
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 96
Issue 4
Article Number 041603
APA6 Citation Bettles, R. J., Minář, J., Adams, C. S., Lesanovsky, I., & Olmos, B. (2017). Topological properties of a dense atomic lattice gas. Physical Review A, 96(4), doi:10.1103/PhysRevA.96.041603
DOI https://doi.org/10.1103/PhysRevA.96.041603
Publisher URL https://journals.aps.org/pra/abstract/10.1103/PhysRevA.96.041603
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
Additional Information ©2017 American Physical Society

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