Role of conservation laws in the density matrix renormalization group
Role of conservation laws in the density matrix renormalization group
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DOI：
10.1103/physrevb.106.235126
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发表时间：
2022-07
影响因子：
3.7
通讯作者：
Thomas G. Kiely;E. Mueller
中科院分区：
文献类型：
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作者：
Thomas G. Kiely;E. Mueller
我们探讨了具有自发破缺对称性或是临界的波函数的矩阵乘积态近似。我们的动机是这样一个事实，即对称及其相关的守恒定律导致了块稀疏矩阵乘积状态。利用这些对称性的数值计算运行速度更快，需要的内存更少。然而，在对称破缺和临界阶段，块稀疏的ansatz产生不那么精确的能量。我们刻画了守恒定律在矩阵乘积态中的作用，并确定了何时利用它们是有益的。
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.