Three-spin interactions in optical lattices and cluster Hamiltonians
Abstract
We demonstrate that a triangular optical lattice of two atomic species can be employed to generate a variety of novel spin-1/2 Hamiltonians. They include effective three-spin interactions resulting from the possibility of atoms tunneling along two different paths. This motivates the study of the ground state properties of various three-spin Hamiltonians in terms of their two-point and n-point correlations and the more detailed localizable entanglement. In particular, we present a cluster Hamiltonian with a finite energy gap above its unique ground state for which the localizable entanglement exhibits a diverging entanglement length while the classical correlation length remains finite.Keywords
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