费米气体的么正性和半经典基态冷原子的Haldane-Wu不相容统计
Cold atoms at unitarity and semiclassical ground state of a Fermi gas for Haldane-Wu exclusion statistics
摘要：
研究了束缚在局域势V（r）中的冷原子有限粒子系统.我们使用最近开发的半经典理论（2008 Phys. Rev. Lett. 100 200408），并假设粒子描述的Haldane-Wu分数排除统计（FES）在酉。这种方法适用于原子陷入三维谐振子。我们表明，无参数FES半经典理论产生的结果与Chang和Bertsch [2007 Phys. Rev A 76 021603（R）]和Bulgac（2007 Phys. Rev A 76 040502）的数值模拟结果一致。
英文摘要：
We investigate finite particle systems of cold atoms bound in a local potential V(r). We derive the ground state energy and the particle density using a recently developed semiclassical theory (2008 Phys. Rev. Lett. 100 200408), and assuming the particles are described by the Haldane-Wu fractional exclusion statistics (FES) at unitarity. This approach is applied to atoms trapped into a three dimensional harmonic oscillator. We show that the parameter-free FES semiclassical theory yields results that are consistent with numerical simulations by Chang and Bertsch [2007 Phys. Rev A 76 021603(R)] and Bulgac (2007 Phys. Rev. A 76 040502).
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