%0 Journal Article
%J Molecular Physics
%D 2013
%T Kitaev honeycomb and other exotic spin models with polar molecules
%A Alexey V. Gorshkov
%A Kaden R. A. Hazzard
%A Ana Maria Rey
%X 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}(theta,phi), where (theta,phi) 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., arXiv:1210.5518v2], we focus on the realization 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.
%B Molecular Physics
%V 111
%P 1908 - 1916
%8 2013/01/01
%G eng
%U http://arxiv.org/abs/1301.5636v1
%N 12-13
%! Molecular Physics
%R 10.1080/00268976.2013.800604