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 ${\upsilon }_r$. This can be applied to create distant EPR pair, through a collision process for two fermions with opposite spins in the case of $\left|{\upsilon }_r/U\right|=1$,\ without the need for temporal control and measurement process. Multiple collision process for many particles is also discussed.

7 pages, 3 figures

References in corpus (13)

• Many-Body Physics with Ultracold Gases
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Two Fermions in a double well: Exploring a fundamental building block of the Hubbard model
• Interaction-controlled transport of an ultracold Fermi gas
• Mott transition of fermionic atoms in a three-dimensional optical trap
• Thermodynamics of the 3D Hubbard model on approach to the Neel transition
• Strong-coupling ansatz for the one-dimensional Fermi gas in a harmonic potential
• Engineering the Dynamics of Effective Spin-Chain Models for Strongly Interacting Atomic Gases
• Quantum simulation of Fermi-Hubbard models in semiconductor quantum dot arrays
• Strongly Interacting Quantum Gases in One-Dimensional Traps
• Néel transition of lattice fermions in a harmonic trap: a real-space DMFT study
• Quantum simulator for the Hubbard model with long-range Coulomb interactions using surface acoustic waves
• Coherent shift of localized bound pair in Bose Hubbard model