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

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

2011-07-19

arxiv.org/abs/1107.3730v1

Physics

Quantum Physics

4 pages, 1 figure

Scientific paper

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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