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Entanglement entropy of the two-dimensional Heisenberg antiferromagnet

机译:二维海森堡反铁磁体的纠缠熵

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摘要

We compute the von Neumann and generalized Renyi entanglement entropies in the ground-state of the spin-1 /2 antiferromagnetic Heisenberg model on the square lattice using the modified spin-wave theory for finite lattices. The addition of a staggered magnetic field to regularize the zero modes associated with symmetry breaking is shown to be essential for obtaining well-behaved values for the entanglement entropy. The von Neumann and Renyi entropies obey an area law with additive logarithmic corrections, and are in good quantitative agreement with numerical results from valence bond quantum Monte Carlo and density matrix renormalization group calculations. We also compute the spin fluctuations and observe a multiplicative logarithmic correction to the area law in excellent agreement with quantum Monte Carlo calculations.
机译:我们使用有限晶格的改进自旋波理论,计算了方格上自旋1/2反铁磁Heisenberg模型的基态下的von Neumann和广义Renyi纠缠熵。对于获得对称的纠缠值,添加交错磁场以规范与对称破坏相关的零模至关重要。 von Neumann和Renyi熵服从面积法则,并具有对数加法校正,并且与价键量子蒙特卡洛法和密度矩阵重整化群计算的数值结果具有良好的定量一致性。我们还计算了自旋涨落,并观察了面积定律的乘数对数校正,与量子蒙特卡洛计算非常吻合。

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