论文标题

密度矩阵重新归一化组由Gutzwiller投射波函数增强

Density matrix renormalization group boosted by Gutzwiller projected wave functions

论文作者

Jin, Hui-Ke, Tu, Hong-Hao, Zhou, Yi

论文摘要

我们建议通过使用Gutzwiller投射状态作为初始化ANSATZ,在二维中提高密度矩阵重新归一化组(DMRG)的性能。如果正确选择了Gutzwiller投射状态时,可以规避DMRG中臭名昭著的“局部最低”问​​题,并且可以通过数量级而没有额外的计算成本来提高DMRG的精度。此外,该方法允许量化DMRG扫描后最初的Gutzwiller投影状态和最终融合状态的亲密性,从而阐明了Gutzwiller Ansatz是否捕获了给定汉密尔顿的实际基态的基本纠缠特征。 Kitaev Honeycomb模型已被利用以证明和基准为新方法。

We propose to boost the performance of the density matrix renormalization group (DMRG) in two dimensions by using Gutzwiller projected states as the initialization ansatz. When the Gutzwiller projected state is properly chosen, the notorious "local minimum" issue in DMRG can be circumvented and the precision of DMRG can be improved by orders of magnitude without extra computational cost. Moreover, this method allows to quantify the closeness of the initial Gutzwiller projected state and the final converged state after DMRG sweeps, thereby sheds light on whether the Gutzwiller ansatz captures the essential entanglement features of the actual ground state for a given Hamiltonian. The Kitaev honeycomb model has been exploited to demonstrate and benchmark this new method.

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