论文标题
非平衡中的电子光相互作用 - 时间依赖的哈伯族人的精确对角线化
Electron-light interaction in nonequilibrium -- exact diagonalization for time dependent Hubbard Hamiltonians
论文作者
论文摘要
我们提出了一种直接的实施方案，用于解决Hubbard Hamiltonian与时间相关的Hoppings所描述的系统相关的Schrödinger方程。可以对多达14个站点的群集进行计算，其中原理是一般几何形状。在时间演变中，我们使用指数中点规则，其中通过Krylov子空间方法计算指数，该方法仅使用矩阵矢量乘法。提出的实现使用标准库来构建稀疏矩阵，对于线性代数，因此该方法易于在台式计算机和计算集群上使用。我们应用该方法来计算光兴奋的莫特绝缘体的双职业和非平衡光谱函数的时间演变。结果表明，不仅由于产生电子孔对而引起的双重占用率增加，而且莫特的间隙也被部分填充。
We present a straightforward implementation scheme for solving the time dependent Schrödinger equation for systems described by the Hubbard Hamiltonian with time dependent hoppings. The computations can be performed for clusters of up to 14 sites with in principle general geometry. For the time evolution, we use the exponential midpoint rule, where the exponentials are computed via a Krylov subspace method, which only uses matrix-vector multiplication. The presented implementation uses standard libraries for constructing sparse matrices and for linear algebra therefore the approach is easy to use on both desktop computer and computational cluster. We apply the method to calculate time evolution of double occupation and nonequilibrium spectral function of a photo-excited Mott-insulator. The results show that not only the double occupancy increases due to creation of electron-hole pairs but also the Mott gap becomes partially filled.
