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arXiv 1003.1292quant-phcond-mat.stat-mechhep-th
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自旋1/2链中纠缠熵的面积律标度破坏

Violation of area-law scaling for the entanglement entropy in spin 1/2 chains

G. Vitagliano, A. Riera, J. I. Latorre

摘要:

对于典型的物理量子系统,纠缠熵服从面积律标度。这可能天真地被认为是从相互作用的局部性得出的。我们表明,这是不是通过构建一个明确的简单的自旋链哈密顿与最近邻相互作用,提出了纠缠体积标度律的情况下。这种非平移模型被设计成具有耦合,该耦合迫使单重键在半链上积累。我们的结果是互补的非平移不变,最近邻相互作用的哈密顿量和QMA完全问题之间的已知关系。

英文摘要:

Entanglement entropy obeys area law scaling for typical physical quantum systems. This may naively be argued to follow from locality of interactions. We show that this is not the case by constructing an explicit simple spin chain Hamiltonian with nearest neighbor interactions that presents an entanglement volume scaling law. This non-translational model is contrived to have couplings that force the accumulation of singlet bonds across the half chain. Our result is complementary to the known relation between non-translational invariant, nearest neighbor interacting Hamiltonians and QMA complete problems.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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