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Topological phases in ultracold polar-molecule quantum magnets

Manmana, Salvatore R. and Stoudenmire, E. M. and Hazzard, Kaden R. A. and Rey, Ana Maria and Gorshkov, Alexey V. (2013) Topological phases in ultracold polar-molecule quantum magnets. Physical Review B, 87 (8). Art. No. 081106. ISSN 1098-0121. doi:10.1103/PhysRevB.87.081106.

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We show how to use polar molecules in an optical lattice to engineer quantum spin models with arbitrary spin S≥1/2 and with interactions featuring a direction-dependent spin anisotropy. This is achieved by encoding the effective spin degrees of freedom in microwave-dressed rotational states of the molecules and by coupling the spins through dipolar interactions. We demonstrate how one of the experimentally most accessible anisotropies stabilizes symmetry protected topological phases in spin ladders. Using the numerically exact density matrix renormalization group method, we find that these interacting phases—previously studied only in the nearest-neighbor case—survive in the presence of long-range dipolar interactions. We also show how to use our approach to realize the bilinear-biquadratic spin-1 and the Kitaev honeycomb models. Experimental detection schemes and imperfections are discussed.

Item Type:Article
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URLURL TypeDescription Paper
Stoudenmire, E. M.0000-0003-3389-9692
Additional Information:© 2013 American Physical Society. Received 19 October 2012; published 26 February 2013. We thank J. Preskill, J. Ye, D. Jin, M. Lukin, N. Yao, S. Michalakis, A. Turner, N. Schuch, N. Lindner, G. Evenbly, M. Baranov, J. Taylor, S. Stellmer,W. Campbell, M. Foss-Feig, M. Hermele, V. Gurarie, X.-G. Wen, Z.-X. Liu, and M. Oshikawa for discussions. This work was supported by NSF, IQIM, NRC, AFOSR, ARO, the ARO-DARPA-OLE program, and the Lee A. DuBridge and Gordon and Betty Moore foundations. S.R.M. and K.R.A.H. thank KITP for hospitality. We acknowledge the use of the Janus supercomputer facilities at CU Boulder. This manuscript is the contribution of NIST and is not subject to U.S. copyright.
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
National Research CouncilUNSPECIFIED
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Army Research Office (ARO)UNSPECIFIED
Defense Advanced Research Projects Agency (DARPA)UNSPECIFIED
Lee A. DuBridge FoundationUNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Issue or Number:8
Classification Code:PACS: 67.85.-d, 33.80.-b, 75.10.Jm, 75.10.Pq
Record Number:CaltechAUTHORS:20130328-152800028
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Official Citation:Manmana, S. R., E. M. Stoudenmire, et al. (2013). "Topological phases in ultracold polar-molecule quantum magnets." Physical Review B 87(8): 081106.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:37680
Deposited By: Tony Diaz
Deposited On:15 Apr 2013 21:23
Last Modified:09 Nov 2021 23:30

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