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Kitaev honeycomb and other exotic spin models with polar molecules

Gorshkov, Alexey V. and Hazzard, Kaden R. A. and Rey, Ana Maria (2013) Kitaev honeycomb and other exotic spin models with polar molecules. Molecular Physics, 111 (12-13). pp. 1908-1916. ISSN 0026-8976. doi:10.1080/00268976.2013.800604.

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We show that ultracold polar molecules pinned in an optical lattice can be used to access a variety of exotic spin models, including the Kitaev honeycomb model. Treating each molecule as a rigid rotor, we use DC electric and microwave fields to define superpositions of rotational levels as effective spin degrees of freedom, while dipole–dipole interactions give rise to interactions between the spins. In particular, we show that, with sufficient microwave control, the interaction between two spins can be written as a sum of five independently controllable Hamiltonian terms proportional to the five rank-2 spherical harmonics Y_2, q (θ, φ), where (θ, φ) are the spherical coordinates of the vector connecting the two molecules. To demonstrate the potential of this approach beyond the simplest examples studied in [S.R. Manmana et al., Phys. Rev. B. 87, 081106 (2013)], we focus on the realisation of the Kitaev honeycomb model, which can support exotic non-Abelian anyonic excitations. We also discuss the possibility of generating spin Hamiltonians with arbitrary spin S, including those exhibiting SU(N=2S+1) symmetry.

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Additional Information:© 2013 Taylor & Francis. Received 17 April 2013; final version received 19 April 2013. The authors thank S. Manmana, E.M. Stoudenmire, J. Preskill, J. Ye, D. Jin, M. Lukin, N. Yao, J. Taylor, S. Stellmer, W. Campbell, P. Julienne, E. Tiemann, M. Foss-Feig, M. Hermele, and V. Gurarie for discussions. This work was supported by NSF, IQIM, NRC, AFOSR, ARO, KITP, the ARO-DARPA-OLE program, and theLee A. DuBridge andGordon andBetty Moore foundations. All authors thank KITP for hospitality. This manuscript is the contribution of NIST and is not subject to US copyright.
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Army Research Office (ARO)UNSPECIFIED
Lee A. DuBridge FoundationUNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Subject Keywords:polar molecules; spin models; quantum magnetism; dipole–dipole interactions; Kitaev honeycomb model
Issue or Number:12-13
Record Number:CaltechAUTHORS:20130607-150852258
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Official Citation:Kitaev honeycomb and other exotic spin models with polar molecules Alexey V. Gorshkov, Kaden R.A. Hazzard, Ana Maria Rey Molecular Physics Vol. 111, Iss. 12-13, 2013
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:38861
Deposited By: Tony Diaz
Deposited On:11 Jun 2013 18:29
Last Modified:09 Nov 2021 23:40

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