Pezer R, Buljan H
Faculty of Metallurgy, University of Zagreb, Aleja narodnih heroja 3, 44000 Sisak, Croatia.
Phys Rev Lett. 2007 Jun 15;98(24):240403. doi: 10.1103/PhysRevLett.98.240403. Epub 2007 Jun 14.
The momentum distribution (MD) dynamics of a Tonks-Girardeau (TG) gas is studied in the context of Bragg reflections of a many-body wave packet. We find strong suppression of a Bragg reflection peak for a large and dense TG wave packet; our observation illustrates the dependence of the MD on the interactions and wave function symmetry. The MD is calculated from the reduced single-particle density matrix (RSPDM). We develop a method for calculating the RSPDM of a TG gas, which is operative for a large number of particles, and does not depend on the external potential and the state of the system. The method is based on a formula expressing the RSPDM via a dynamically evolving single-particle basis.
在多体波包的布拉格反射背景下，研究了汤克斯 - 吉拉尔代奥（TG）气体的动量分布（MD）动力学。我们发现，对于大且密集的TG波包，布拉格反射峰受到强烈抑制；我们的观察结果说明了MD对相互作用和波函数对称性的依赖性。MD是根据约化单粒子密度矩阵（RSPDM）计算得出的。我们开发了一种计算TG气体RSPDM的方法，该方法适用于大量粒子，并且不依赖于外部势和系统状态。该方法基于一个通过动态演化的单粒子基来表示RSPDM的公式。
