二维量子晶格模型张量网络态的精确确定
Accurate determination of tensor network state of quantum lattice models in two dimensions
摘要：
提出了一种新的数值方法，用二维张量网络波函数精确计算基态的物理量。我们通过投影方法确定张量网络波函数，该方法迭代地应用投影算子的Trotter-Suzuki分解和矩阵的奇异值分解。用粗粒重整化群方法计算了波函数的范数和物理观测量的期望值。我们的方法允许张量网络波函数与高键自由度（如D=8），以准确和有效地处理在热力学极限。对于蜂窝晶格上的海森堡模型，我们的基态能量和交错磁化强度的计算结果与量子Monte Carlo和其它方法的结果符合得很好.
英文摘要：
We have proposed a novel numerical method to calculate accurately the physical quantities of the ground state with the tensor-network wave function in two dimensions. We determine the tensor network wavefunction by a projection approach which applies iteratively the Trotter-Suzuki decomposition of the projection operator and the singular value decomposition of matrix. The norm of the wavefunction and the expectation value of a physical observable are evaluated by a coarse grain renormalization group approach. Our method allows a tensor-network wavefunction with a high bond degree of freedom (such as D=8) to be handled accurately and efficiently in the thermodynamic limit. For the Heisenberg model on a honeycomb lattice, our results for the ground state energy and the staggered magnetization agree well with those obtained by the quantum Monte Carlo and other approaches.
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