# 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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