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.
- Publication:
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Scientific Reports
- Pub Date:
- January 2016
- DOI:
- 10.1038/srep18323
- arXiv:
- arXiv:1504.07454
- Bibcode:
- 2016NatSR...618323Z
- Keywords:
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- Quantum Physics
- E-Print:
- 7 pages, 3 figures