Sauter-Schwinger like tunneling in tilted Bose-Hubbard lattices in the Mott phase

@article{Queisser2012SauterSchwingerLT,
  title={Sauter-Schwinger like tunneling in tilted Bose-Hubbard lattices in the Mott phase},
  author={Friedemann Queisser and Patrick Navez and Ralf Schutzhold},
  journal={Physical Review A},
  year={2012},
  volume={85},
  pages={033625}
}
We study the Mott phase of the Bose-Hubbard model on a tilted lattice. On the (Gutzwiller) mean-field level, the tilt has no effect -- but quantum fluctuations entail particle-hole pair creation via tunneling. For small potential gradients (long-wavelength limit), we derive a quantitative analogy to the Sauter-Schwinger effect, i.e., electron-positron pair creation out of the vacuum by an electric field. For large tilts, we obtain resonant tunneling related to Bloch oscillations. 

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