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Realizing Fractional Chern Insulators in Dipolar Spin Systems

Yao, N. Y. and Gorshkov, A. V. and Laumann, C. R. and Läuchli, A. M. and Lukin, M. D. (2013) Realizing Fractional Chern Insulators in Dipolar Spin Systems. Physical Review Letters, 110 (18). Art. No. 185302 . ISSN 0031-9007. doi:10.1103/PhysRevLett.110.185302.

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Strongly correlated quantum systems can exhibit exotic behavior controlled by topology. We predict that the ν=1/2 fractional Chern insulator arises naturally in a two-dimensional array of driven, dipolar-interacting spins. As a specific implementation, we analyze how to prepare and detect synthetic gauge potentials for the rotational excitations of ultracold polar molecules trapped in a deep optical lattice. With the motion of the molecules pinned, under certain conditions, these rotational excitations form a fractional Chern insulating state. We present a detailed experimental blueprint for its realization and demonstrate that the implementation is consistent with near-term capabilities. Prospects for the realization of such phases in solid-state dipolar systems are discussed as are their possible applications.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Lukin, M. D.0000-0002-8658-1007
Additional Information:© 2013 American Physical Society. Received 11 January 2013; published 29 April 2013. We gratefully acknowledge the insights of P. Zoller, E. Demler, and S. Bennett. We thank M. Hafezi, A. Chandran, N. Lindner, S. Stellmer, F. Schreck, W. Campbell, A. M. Rey, J. Preskill, K. Hazzard, S. Manmana, E. M. Stoudenmire, S. Todadri, and J. Alicea for helpful discussions. This work was supported, in part, by the NSF, DOE (FG02-97ER25308), CUA, DARPA, AFOSR MURI, NIST, Lawrence Golub Fellowship, Lee A. DuBridge Foundation, IQIM and the Gordon and Betty Moore Foundation.
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
Department of Energy (DOE)FG02-97ER25308
Harvard-MIT Center for Ultracold AtomsUNSPECIFIED
Defense Advanced Research Projects Agency (DARPA)UNSPECIFIED
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
National Institute of Standards and Technology (NIST)UNSPECIFIED
Lawrence Golub FellowshipUNSPECIFIED
Lee A. DuBridge FoundationUNSPECIFIED
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Issue or Number:18
Classification Code:PACS: 67.85.-d, 05.30.Jp, 71.10.Fd, 73.43.Cd
Record Number:CaltechAUTHORS:20130607-135259730
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:38857
Deposited By: Tony Diaz
Deposited On:11 Jun 2013 18:24
Last Modified:09 Nov 2021 23:40

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