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arXiv · 0808.0938

Geometric Entanglement in a One-Dimensional Valence Bond Solid State

Roman Orus
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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.

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Roman Orus. 2008-08-07. Geometric Entanglement in a One-Dimensional Valence Bond Solid State. https://doi.org/10.1103/physreva.78.062332

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