arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2207.03465cond-mat.quant-gascond-mat.str-el
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守恒律在密度矩阵重整化群中的作用

Role of conservation laws in the Density Matrix Renormalization Group

Thomas G. Kiely, Erich J. Mueller

摘要:

我们探讨矩阵产品状态近似波函数自发破缺对称性或临界。我们的动机是这样一个事实,即对称性,以及它们相关的守恒定律,导致块稀疏矩阵产品状态。利用这些对称性的数值计算运行得更快,需要的内存更少。然而,在破碎和临界阶段,块稀疏分析产生不太准确的能量。我们的特点矩阵产品状态的守恒定律的作用,并确定何时有利于利用它们。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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