title: EPR pairing dynamics in Hubbard model with resonant U.
abstract: 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.
authors.affiliation: School of Physics, Nankai University, Tianjin 300071, China.|College of Physics and Materials Science, Tianjin Normal University, Tianjin 300387, China.
authors.forename: X Z
authors.initials: XZ
authors.lastname: Zhang
authors.affiliation: School of Physics, Nankai University, Tianjin 300071, China.
authors.forename: Z
authors.initials: Z
authors.lastname: Song