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Reaching Fractional Quantum Hall States with Optical Flux Lattices

Nigel R. Cooper and Jean Dalibard
Phys. Rev. Lett. 110, 185301 – Published 29 April 2013
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Abstract

We present a robust scheme by which fractional quantum Hall states of bosons can be achieved for ultracold atomic gases. We describe a new form of optical flux lattice, suitable for commonly used atomic species with ground state angular momentum Jg=1, for which the lowest energy band is topological and nearly dispersionless. Through exact diagonalization studies, we show that, even for moderate interactions, the many-body ground states consist of bosonic fractional quantum Hall states, including the Laughlin state and the Moore-Read (Pfaffian) state. These phases are shown to have energy gaps that are larger than temperature scales achievable in ultracold gases.

  • Received 14 December 2012

DOI:https://doi.org/10.1103/PhysRevLett.110.185301

© 2013 American Physical Society

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Toward Fractional Quantum Hall Physics with Cold Atoms

Published 29 April 2013

Researchers propose new ways to recreate fractional quantum Hall physics using ultracold atoms and molecules.

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Authors & Affiliations

Nigel R. Cooper1 and Jean Dalibard2,3

  • 1T.C.M. Group, Cavendish Laboratory, J. J. Thomson Avenue, Cambridge CB3 0HE, United Kingdom
  • 2Laboratoire Kastler Brossel, CNRS, UPMC, ENS, 24 rue Lhomond, F-75005 Paris, France
  • 3Collège de France, 11, place Marcelin Berthelot, 75005 Paris, France

See Also

Realizing Fractional Chern Insulators in Dipolar Spin Systems

N. Y. Yao, A. V. Gorshkov, C. R. Laumann, A. M. Läuchli, J. Ye, and M. D. Lukin
Phys. Rev. Lett. 110, 185302 (2013)

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Vol. 110, Iss. 18 — 3 May 2013

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