Doublon-holon pair creation in Mott-Hubbard systems in analogy to QED

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Abstract Via the hierarchy of correlations, we study doublon-holon pair creation in 
the Mott state of the Fermi-Hubbard model (in higher dimensions)
induced by a time-dependent electric field.
Special emphasis is placed on the analogy to electron-positron pair creation from 
the vacuum in quantum electrodynamics (QED).
We find that the accuracy and applicability
of this analogy depends on the spin structure of the Mott background.
For Ising type anti-ferromagnetic order, we derive an effective Dirac equation. 
A Mott state without any spin order or spin polarized states do
not explicitly display the same 
quasi-relativistic behavior.