Microwave-engineering of programmable XXZ Hamiltonians in arrays of Rydberg atoms

  title={Microwave-engineering of programmable XXZ Hamiltonians in arrays of Rydberg atoms},
  author={Pascal Scholl and Hannah J Williams and Gr{\'e}goire Bornet and Frank Wallner and Daniel Barredo and Thierry Lahaye and Antoine Browaeys and Loic Henriet and Adrien Signoles and Cl{\'e}ment Hainaut and Titus Franz and S. Geier and Annika Tebben and Andre Salzinger and Gerhard Zurn and M. Weidemuller},
We use the resonant dipole-dipole interaction between Rydberg atoms and a periodic external microwave field to engineer XXZ spin Hamiltonians with tunable anisotropies. The atoms are placed in 1D and 2D arrays of optical tweezers. As illustrations, we apply this engineering to two iconic situations in spin physics: the Heisenberg model in square arrays and spin transport in 1D. We first benchmark the Hamiltonian engineering for two atoms, and then demonstrate the freezing of the magnetization on… 

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