论文标题
PAIMDIAG：一个用于解决一般配对哈密顿的精确对角线化计划
PairDiag: an exact diagonalization program for solving general pairing Hamiltonians
论文作者
论文摘要
我们提出了一个计划，以完全基于对角线化解决一般配对的哈密顿量。该程序通过“ 01”反转算法生成了零壳模型的基本媒介向量。汉密尔顿矩阵是在该资历零空间中构建的。该程序使用散射操作员和以生成的基础起作用的搜索算法来评估哈密顿矩阵的所有非零元素。通过使用迭代兰斯佐斯算法对矩阵进行对角线。因此，该程序开发了Pairdiag，可以有效地计算任何配对汉密尔顿的地面特征值和特征向量。可以轻松实施该程序以替换标准自洽的平均场计算中的BCS近似值。该代码使用OpenMP并行化。对于尺寸约为10 $^{8-9} $的较大系统，可以在标准台式计算机上一天内完成计算。
We present a program for solving exactly the general pairing Hamiltonian based on diagonalization. The program generates the seniority-zero shell-model-like basis vectors via the `01' inversion algorithm. The Hamiltonian matrix is constructed in that seniority-zero space. The program evaluates all non-zero elements of the Hamiltonian matrix "on the fly" using the scattering operator and the search algorithm that act on the generated basis. The matrix is diagonalized by using the iterative Lanczos algorithm. The program thus developed, PairDiag, can calculate efficiently the ground-state eigenvalue and eigenvector of any pairing Hamiltonian. The program can be easily implemented to replace the BCS approximation in standard self-consistent mean-field calculations. The code is parallelized using OpenMP. For larger systems with dimension around 10$^{8-9}$, the calculation can be done within a day on standard desktop computers.
