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Frustration, Area Law, and Interference in Quantum Spin Models

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arxiv 0706.2094 v2 pith:WHFOTOVA submitted 2007-06-14 quant-ph cond-mat.other

Frustration, Area Law, and Interference in Quantum Spin Models

classification quant-ph cond-mat.other
keywords systemsfrustratedareaentanglementquantumblockfrustrationground
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study frustrated quantum systems from a quantum information perspective. Within this approach, we find that highly frustrated systems do not follow any general ''area law'' of block entanglement, while weakly frustrated ones have area laws similar to those of nonfrustrated systems away from criticality. To calculate the block entanglement in systems with degenerate ground states, typical in frustrated systems, we define a ''cooling'' procedure of the ground state manifold, and propose a frustration degree and a method to quantify constructive and destructive interference effects of entanglement.

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