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arXiv · 1107.3730

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

Friedemann Queisser·Patrick Navez·Ralf Schützhold
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Abstract

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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Friedemann Queisser, Patrick Navez, Ralf Schützhold. 2011-07-19. Sauter-Schwinger like tunneling in tilted Bose-Hubbard lattices in the Mott phase. https://doi.org/10.1103/physreva.85.033625

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