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Bulletin of the American Physical Society

Spin exchange in a double-well optical lattice for a $\sqrt{SWAP}$ gate

Patricia J. Lee, Marco Anderlini, Benjamin L. Brown, Jennifer Sebby-Strabley, William D. Phillips, Trey Porto

Published Jun 6, 2007• 0 citations
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Spin exchange in a double-well optical lattice for a SWAP\sqrt{SWAP}SWAP​ gate
We theoretically investigate, using non-perturbative strong correlation techniques, Mott insulating phases and magnetic ordering of two-component fermions in a two-dimensional double-well optical lattice. At filling of two fermions per site, there are two types of Mott insulators, one of which is characterized by spin-1 antiferromagnetism below the Neel temperature. The super-exchange interaction in this system is induced by the interplay between the inter-band interaction and the spin degree of freedom. A great advantage of the double-well optical lattice is that the magnetic quantum phase diagram and the Neel temperature can be easily controlled by tuning the orbital energy splitting of the two-level system. Particularly, the Neel temperature can be one order of magnitude larger than that in standard optical lattices, facilitating the experimental search for magnetic ordering in optical lattice systems.