论文标题
部分可观测时空混沌系统的无模型预测
Accuracy of ghost-rotationally-invariant slave-boson and dynamical mean field theory as a function of the impurity-model bath size
论文作者
论文摘要
我们比较了单个频率哈伯德模型上幽灵 - 旋转不变的奴隶玻色子（G-RISB）理论（G-RISB）理论（DMFT）的准确性，这是嵌入杂质Hamiltonian中的浴室位点数量的函数。我们的基准计算证实，通过增加类似于DMFT的浴室数量，可以系统地改善G-RISB的准确性。有了一些浴场，我们观察到G-RISB在地面可观察的情况下系统地比DMFT更准确。另一方面，这些方法的相对准确性通常与准粒子重量和光谱函数相当。正如预期的那样，我们观察到，G-RISB满足无限尺寸的变异原理，因为总能量单调朝着确切的值降低，这是浴位位点数量的函数，这表明G-RISB波函数可能接近无限尺寸的精确基态。我们的结果表明，G-RISB是对强相关物质进行第一个原理模拟的有前途的方法，可以以相对较低的计算成本来捕获静态和动力学可观察物的行为。
We compare the accuracy of the ghost-rotationally-invariant slave-boson (g-RISB) theory and dynamical mean-field theory (DMFT) on the single-band Hubbard model, as a function of the number of bath sites in the embedding impurity Hamiltonian. Our benchmark calculations confirm that the accuracy of g-RISB can be systematically improved by increasing the number of bath sites, similar to DMFT. With a few bath sites, we observe that g-RISB is systematically more accurate than DMFT for the ground-state observables. On the other hand, the relative accuracy of these methods is generally comparable for the quasiparticle weight and the spectral function. As expected, we observe that g-RISB satisfies the variational principle in infinite dimensions, as the total energy decreases monotonically towards the exact value as a function of the number of bath sites, suggesting that the g-RISB wavefunction may approach the exact ground state in infinite dimensions. Our results suggest that the g-RISB is a promising method for first principle simulations of strongly correlated matter, which can capture the behavior of both static and dynamical observables, at a relatively low computational cost.
