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EPR pairing dynamics in Hubbard model with resonant U

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....

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Detalles Bibliográficos
Autores principales: Zhang, X. Z., Song, Z.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4700455/
https://www.ncbi.nlm.nih.gov/pubmed/26728282
http://dx.doi.org/10.1038/srep18323
Descripción
Sumario: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 v(r). This can be applied to create distant EPR pair, through a collision process for two fermions with opposite spins in the case of |v(r)/U| = 1, without the need for temporal control and measurement process. Multiple collision process for many particles is also discussed.