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Quantum spin-ice and dimer models with Rydberg atoms

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posted on 07.08.2018 by A.W. Glaetzle, M. Dalmonte, Ramesh Nath, Ioannis Rousochatzakis, R. Moessner, P. Zoller
Quantum spin-ice represents a paradigmatic example of how the physics of frustrated magnets is related to gauge theories. In the present work, we address the problem of approximately realizing quantum spin ice in two dimensions with cold atoms in optical lattices. The relevant interactions are obtained by weakly laser-admixing Rydberg states to the atomic ground-states, exploiting the strong angular dependence of van der Waals interactions between Rydberg p states together with the possibility of designing steplike potentials. This allows us to implement Abelian gauge theories in a series of geometries, which could be demonstrated within state-of-the-art atomic Rydberg experiments. We numerically analyze the family of resulting microscopic Hamiltonians and find that they exhibit both classical and quantum order by disorder, the latter yielding a quantum plaquette valence bond solid. We also present strategies to implement Abelian gauge theories using both s- and p-Rydberg states in exotic geometries, e.g., on a 4-8 lattice.

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  • Science

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  • Physics

Published in

Physical Review X

Volume

4

Issue

4

Citation

GLAETZLE, A.W. ... et al, 2014. Quantum spin-ice and dimer models with Rydberg atoms. Physical Review X, 4 (4), 041037.

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American Physical Society

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This work is made available according to the conditions of the Creative Commons Attribution 3.0 Unported (CC BY 3.0) licence. Full details of this licence are available at: http://creativecommons.org/licenses/by/3.0/

Publication date

2014

Notes

This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Full details of this licence are available at: https://creativecommons.org/licenses/by/3.0/

eISSN

2160-3308

Language

en

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