Zhang X Z, Song Z
School of Physics, Nankai University, Tianjin 300071, China.
College of Physics and Materials Science, Tianjin Normal University, Tianjin 300387, China.
Sci Rep. 2016 Jan 5;6:18323. doi: 10.1038/srep18323.
We study the dynamics of the collision between two fermions in Hubbard model with on-site interaction strength U. The exact solution shows that the scattering matrix for two-wavepacket collision is separable into two independent parts, operating on spatial and spin degrees of freedom, respectively. The S-matrix for spin configuration is equivalent to that of Heisenberg-type pulsed interaction with the strength depending on U and relative group velocity vr. This can be applied to create distant EPR pair, through a collision process for two fermions with opposite spins in the case of |vr/U| = 1, without the need for temporal control and measurement process. Multiple collision process for many particles is also discussed.
我们研究了具有在位相互作用强度U的哈伯德模型中两个费米子之间碰撞的动力学。精确解表明，两波包碰撞的散射矩阵可分离为两个独立部分，分别作用于空间和自旋自由度。自旋构型的S矩阵等同于海森堡型脉冲相互作用的S矩阵，其强度取决于U和相对群速度vr。在|vr/U| = 1的情况下，这可应用于通过两个具有相反自旋的费米子的碰撞过程来创建远距离EPR对，而无需时间控制和测量过程。还讨论了多个粒子的多次碰撞过程。
