Static structure factor of a strongly correlated Fermi gas at large momenta
Static structure factor of a strongly correlated Fermi gas at large momenta
复制标题
大动量下强相关费米气体的静态结构因子
DOI：
10.1209/0295-5075/91/20005
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发表时间：
2010-07-01
期刊：
影响因子：
1.8
通讯作者：
Drummond, P. D.
中科院分区：
文献类型：
--
作者：
Hu, H.;Liu, X. -J.;Drummond, P. D.
从理论上研究了大动量时BEC-BCS交叉附近相互作用费米气体的静态结构因子。由于短程两体相互作用的存在，我们证明了在barq上具有大动量（h）和大散射长度的普适标度区域中，不同自旋关联S的结构因子（上箭头（q）福尔斯）为1/q。标度系数由著名的Tan接触参数决定，该参数将多体系统的短程行为与其普遍的热力学性质联系起来。通过实现这种结构因子Tan关系与随机相位近似和维里展开理论在各种极限情况下，我们展示了如何计算S向上向下箭头（q）在零和有限的温度为任意的相互作用强度，在动量传递高于费米动量。我们的研究结果提供了一种方法来实验确认的Tan关系之一，并准确地测量接触参数的值。版权所有（C）EPLA，2010
We theoretically investigate the static structure factor of an interacting Fermi gas near the BEC-BCS crossover at large momenta. Due to short-range two-body interactions, we show that the structure factor of unlike spin correlations S up down arrow(q) falls off as 1/q in a universal scaling region with large momentum (h) over barq and large scattering length. The scaling coefficient is determined by the celebrated Tan's contact parameter, which links the short-range behavior of many-body systems to their universal thermodynamic properties. By implementing this structure-factor Tan relation together with the random-phase approximation and the virial expansion theory in various limiting cases, we show how to calculate S up down arrow(q) at zero and finite temperatures for arbitrary interaction strengths, at momentum transfer higher than the Fermi momentum. Our results provide a way to experimentally confirm one of the Tan relations and to accurately measure the value of contact parameter. Copyright (C) EPLA, 2010