Three-spin interactions in optical lattices and criticality in cluster Hamiltonians

Details Three-spin interactions in optical lattices and criticality in cluster Hamiltonians Three-spin interactions in optical lattices and criticality in cluster Hamiltonians

2004-01-19

arxiv.org/abs/quant-ph/0401106v2

Phys. Rev. Lett. 93, 056402 (2004)

Physics

Quantum Physics

4 pages, 2 postscript figures, REVTEX, feasibility study and references added

Scientific paper

10.1103/PhysRevLett.93.056402

We demonstrate that in a triangular configuration of an optical lattice of two atomic species a variety of novel spin-1/2 Hamiltonians can be generated. They include effective three-spin interactions resulting from the possibility of atoms tunneling along two different paths. This motivates the study of ground state properties of various three-spin Hamiltonians in terms of their two-point and n-point correlations as well as the localizable entanglement. We present a Hamiltonian with a finite energy gap above its unique ground state for which the localizable entanglement length diverges for a wide interval of applied external fields, while at the same time the classical correlation length remains finite.

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