一维谐振阱中的四个费米子：变分反演算法的精度
Four fermions in a one-dimensional harmonic trap: Accuracy of a variational-ansatz approach
摘要：
详细分析了四个相互作用的超冷费米子被限制在一个一维谐波陷阱中的系统。分析是在多体基态的一个简单的变分分析框架内进行的，其预测结果与多体哈密顿量的数值精确对角化的结果相吻合。还简要讨论了量子统计的作用，即玻色-玻色和玻色-费米混合物。它的结论是，变分的anadian，虽然似乎是过于简化，给出了令人惊讶的良好的预测，许多不同的数量的混合物的平等以及不同的质量系统。该结果可能具有一定的实验意义，因为它给出了相当简单和有效的方法来描述实验输出。
英文摘要：
Detailed analysis of the system of four interacting ultra-cold fermions confined in a one-dimensional harmonic trap is performed. The analysis is done in the framework of a simple variational ansatz for the many-body ground state and its predictions are confronted with the results of numerically exact diagonalization of the many-body Hamiltonian. Short discussion on the role of the quantum statistics, i.e. Bose-Bose and Bose-Fermi mixtures is also presented. It is concluded that the variational ansatz, although seemed to be oversimplified, gives surprisingly good predictions of many different quantities for mixtures of equal as well as different mass systems. The result may have some experimental importance since it gives quite simple and validated method for describing experimental outputs.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
