费米气体在简谐势阱中的纠缠
Entanglement of Fermi gases in a harmonic trap
摘要：
研究了阱中费米气体中两个费米子在有相互作用和无相互作用两种情况下的两体纠缠。我们展示了纠缠如何依赖于两个费米子的位置和粒子的总数。处于陷阱边缘的费米子比处于中心的费米子有更长的纠缠距离（超过它，纠缠消失）。我们导出了BCS基态两纠缠费米子平均重叠度的一个下限，它为$\sqrt{Q/2M}$，它是库珀对数$Q$和占据能级总数$M$的函数.
英文摘要：
For both cases with and without interactions, bipartite entanglement of two-fermions from a Fermi gas in a trap is investigated. We show how the entanglement depends on the locations of the two fermions and the total number of particles. Fermions at the verge of trap have longer entanglement distance (beyond it, the entanglement disappears) than those in the center. We derive a lower limitation to the average overlapping for two entangled fermions in the BCS ground state, it is shown to be $\sqrt{Q/2M}$, a function of Cooper pair number $Q$ and total number of occupied energy levels $M$.
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。
