Geometric Entanglement in a One-Dimensional Valence Bond Solid State
arXiv:0808.0938 · doi:10.1103/PhysRevA.78.062332
Abstract
In this paper we provide the analytical derivation of the global geometric entanglement per block for the valence bond solid ground state of the spin-1 AKLT chain. In particular, we show that this quantity saturates exponentially fast to a constant when the sizes of the blocks are sufficiently large. Our result provides the first known example of an analytical calculation of the geometric entanglement for a gapped quantum many-body system in one dimension and far away from a quantum critical point.
4 pages, 2 figures, 1 table
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