高极化费米气体的正常态:全多体处理
Normal state of highly polarized Fermi gases: Full many-body treatment
摘要:
我们考虑一个单一的\down原子在费米海的\up原子。我们阐明了一个完整的多体分析的Monte-Carlo结果和近似计算只考虑单粒子-空穴激发之间的相当神秘的协议。它是由具有多个粒子-空穴对的态的贡献的近乎完美的相消干涉产生的。这与空穴波矢的功率膨胀的显著效率有关,最低阶导致完美干涉。直到两个粒子-空穴对给出了与已知精确结果基本上完美的一致。因此,我们的处理相当于这个问题的精确解。
英文摘要:
We consider a single \down atom within a Fermi sea of \up atoms. We elucidate by a full many-body analysis the quite mysterious agreement between Monte-Carlo results and approximate calculations taking only into account single particle-hole excitations. It results from a nearly perfect destructive interference of the contributions of states with more than one particle-hole pair. This is linked to the remarkable efficiency of the expansion in powers of hole wavevectors, the lowest order leading to perfect interference. Going up to two particle-hole pairs gives an essentially perfect agreement with known exact results. Hence our treatment amounts to an exact solution of this problem.
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