Entanglement entropy of the two-dimensional Heisenberg antiferromagnet
Entanglement entropy of the two-dimensional Heisenberg antiferromagnet
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DOI：
10.1103/physrevb.83.224410
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发表时间：
2011-03
影响因子：
3.7
通讯作者：
H. Francis Song;N. Laflorencie;S. Rachel;K. Le Hur
中科院分区：
文献类型：
--
作者：
H. Francis Song;N. Laflorencie;S. Rachel;K. Le Hur
利用修正的有限晶格自旋波理论，计算了正方形晶格上自旋1/2反铁磁海森堡模型基态下的von Neumann和广义R‘enyi纠缠熵。交错磁场的加入使与对称破缺相关的Goldstone模正规化，这对于获得纠缠熵的良好性态是必不可少的。Von Neumann和R‘enyi熵服从相加对数修正的面积定律，并与价键量子蒙特卡罗和密度矩阵重整化群计算的数值结果符合较好的定量结果。我们还计算了自旋涨落，并观察到面积定律的乘法对数修正，这与量子蒙特卡罗计算非常一致。
We compute the von Neumann and generalized R\'{e}nyi 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 Goldstone modes associated with symmetry-breaking is shown to be essential for obtaining well-behaved values for the entanglement entropy. The von Neumann and R\'{e}nyi 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.