We present a simple and stable numerical method to approximate the ground state of a quantum many-body system by multiple determinant states. This method searches these determinant states one by one according to the matching pursuit algorithm. The first determinant state is identical to that of the Hartree-Fock theory. Calculations for a two-dimensional Hubbard model serve as a demonstration.

中文翻译：

---

通过多个行列式近似逼近费米子系统的基态：匹配追踪法。

我们提出了一种简单稳定的数值方法，通过多个行列式来近似量子多体系统的基态。该方法根据匹配追踪算法一一搜索这些行列式状态。第一个行列式状态与Hartree-Fock理论相同。二维Hubbard模型的计算用作演示。