We probe the convergence of the configuration interaction (CI) approach for harmonically trapped one-dimensional Fermi–Fermi mixtures. Existing scientific papers that apply the CI approach to study such systems typically use harmonic oscillator eigenfunctions with fixed frequency parameter values as bases. We show that CI’s optimisation is the key to reducing the computational cost of the numerical study of fermionic mixtures. The effectiveness of the optimised CI approach is analysed in terms of its ability to capture the spatial fermion–fermion correlations.

中文翻译：

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捕获费米子混合物的优化精确对角化方法的测试

我们探讨了谐波捕获一维费米-费米混合物的构型相互作用（CI）方法的收敛性。应用 CI 方法研究此类系统的现有科学论文通常使用具有固定频率参数值的谐振子本征函数作为基础。我们表明 CI 的优化是降低费米子混合物数值研究计算成本的关键。优化 CI 方法的有效性根据其捕获空间费米子-费米子相关性的能力进行分析。