Momentum distribution and contacts of one-dimensional spinless Fermi gases with an attractive p-wave interaction
Momentum distribution and contacts of one-dimensional spinless Fermi gases with an attractive p-wave interaction
复制标题
具有吸引力的 p 波相互作用的一维无自旋费米气体的动量分布和接触
DOI：
10.1103/physreva.98.023605
复制
发表时间：
2018
影响因子：
2.9
通讯作者：
Zhang Shizhong
中科院分区：
文献类型：
--
作者：
Yin Xiangguo;Guan Xi-Wen;Zhang Yunbo;Su Haibin;Zhang Shizhong
我们严格地研究了一维无自旋费米气体在吸引波相互作用下的动量分布和波接触。利用Bethe ansatz波函数，我们解析地计算了高动量尾部，发现前导项()和次前导项()由两个接触和决定，这与两体密度矩阵及其导数的短距离行为有关。随着一维散射长度的增加，接触度从零开始单调增加，而在有限散射长度处出现一个峰值。此外，我们还从热力学Bethe ansatz方程出发，分别得到了弱吸引相互作用和强吸引作用下有限温度下波接触的解析表达式。
We present a rigorous study of momentum distribution and-wave contacts of one-dimensional spinless Fermi gases with an attractive-wave interaction. Using the Bethe ansatz wave function, we calculate analytically the high-momentum tail and show that the leading () and sub-leading terms () are determined by two contactsand, which are related to the short-distance behavior of the two-body density matrix and its derivatives. As one increases the one-dimensional scattering length, the contactincreases monotonically from zero whileexhibits a peak at finite scattering length. In addition, we obtain analytic expressions for-wave contacts at finite temperature from the thermodynamic Bethe ansatz equations for both weak and strong attractive interactions.