无限系统波函数预测的经典背景DMRG方法
A Classical Background for the Wave Function Prediction in the Infinite System DMRG Method
摘要:
本文从统计力学中的一种典型的格子模型--二维顶点模型的角度出发,给出了无限体系密度矩阵重整化群(DMRG)方法中波函数预测的物理背景。奇异值分解应用于矩形角转移矩阵自然绘制矩阵乘积表示的行到行转移矩阵的最大特征向量。波函数预测可以表示为近似半列传递矩阵的插入。该插入过程与McCulloch最近提出的方案一致。
英文摘要:
We report a physical background of the wave function prediction in the infinite system density matrix renormalization group (DMRG) method, from the view point of two-dimensional vertex model, a typical lattice model in statistical mechanics. Singular value decomposition applied to rectangular corner transfer matrices naturally draws matrix product representation for the maximal eigenvector of the row-to-row transfer matrix. The wave function prediction can be expressed as the insertion of an approximate half-column transfer matrix. This insertion process is in accordance with the scheme proposed by McCulloch recently.
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