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arXiv 1003.3511cond-mat.quant-gascond-mat.supr-con
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强关联大动量费米气体的静态结构因子

Static structure factor of a strongly correlated Fermi gas at large momenta

Hui Hu, Xia-Ji Liu, Peter D. Drummond

摘要:

从理论上研究了大动量时BEC-BCS交叉点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,我们预言在具有大动量$\hbar q$和大散射长度的普适标度区域中,异自旋关联$S_{\uparrow\downarrow}(q)$的结构因子将以$1/q$的形式衰减.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。通过实施这一新的Tan关系与随机相位近似和维里膨胀理论在各种极限情况下,我们展示了如何计算$S_{\uparrow\downarrow}(q)$在零温度和有限温度的任意相互作用强度,在动量转移高于费米动量。我们的研究结果提供了一种方法来实验确认一个新的Tan关系,并准确地测量接触参数的值。

英文摘要:

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 predict that the structure factor of unlike spin correlations $S_{\uparrow\downarrow}(q)$ falls off as $1/q$ in a universal scaling region with large momentum $\hbar q$ 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 new Tan relation together with the random-phase approximation and the virial expansion theory in various limiting cases, we show how to calculate $S_{\uparrow\downarrow}(q)$ 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 a new Tan relation and to accurately measure the value of contact parameter.

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。

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