论文标题
保护法在密度基质重归其化组中的作用
Role of conservation laws in the Density Matrix Renormalization Group
论文作者
论文摘要
我们探索矩阵乘积状态与自发断裂对称性或关键的波形的近似值。我们的动机是，对称性及其相关的保护法会导致块矩阵产品状态。利用这些对称性的数值计算运行速度更快，需要更少的内存。但是，在对称性破裂和临界相中，稀疏的ANSATZ产生的精确能量较少。我们表征了保护法在矩阵产品状态中的作用，并确定何时使用它们是有益的。
We explore matrix product state approximations to wavefunctions which have spontaneously broken symmetries or are critical. We are motivated by the fact that symmetries, and their associated conservation laws, lead to block-sparse matrix product states. Numerical calculations which take advantage of these symmetries run faster and require less memory. However, in symmetry-broken and critical phases the block sparse ansatz yields less accurate energies. We characterize the role of conservation laws in matrix product states and determine when it is beneficial to make use of them.
