论文标题
托克斯吉拉多气体的动量空间中的相关性
Correlation in Momentum Space of Tonks-Girardeau Gas
论文作者
论文摘要
我们研究了动量空间中Tonks-Gimardeal气体基态的相关性能。使用Bose-Fermi映射方法，可以基于自旋极化费米子的波函数获得坐标空间中的精确基态波形。通过傅立叶变换，我们在动量空间中获得基态波函数，因此在动量空间中的动量分布，配对相关性和降低的一体密度矩阵（ROBDM）。动量空间中的ROBDM是坐标空间中ROBDM的傅立叶变换，Momkun空间中的对相关性是坐标空间中还原的两体密度矩阵的傅立叶变换。动量空间中的相关性仅在小动量区域显示较大的值，而在大多数其他区域中都消失了。还获得了最低的天然轨道和职业分布。
We investigate the correlation properties of the ground state of Tonks-Gigrardeal gases in the momentum space. With Bose-Fermi mapping method the exact ground state wavefunction in coordinate space can be obtained basing on the wavefunction of spin-polarized Fermions. By Fourier transformation we obtain the ground state wavefunction in momentum space, and therefore the momentum distribution, pair correlation and the reduced one-body density matrix (ROBDM) in momentum space. The ROBDM in momentum space is the Fourier transformation of the ROBDM in coordinate space and the pair correlation in momentun space is the Fourier transformation of the reduced two-body density matrix in coordinate space. The correlations in momentum space display larger values only in small momentum region and vanish in most other regions. The lowest natural orbital and occupation distribution are also obtained.
