Sauter-Schwinger like tunneling in tilted Bose-Hubbard lattices

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• Patrick Navez (Max Plank Institute Dresden)
• Wednesday 15 February 2012, 15:00-16:00
• Physics East 217.

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We establish a set of hierarchy equations describing the time evolution of the N-points spatial correlation reduced density matrix in a lattice Bose gas. This set of equations is solved through a 1/z expansion where z is the coordination number i.e. number of interaction of a site with its nearest neighbors. We study the Mott phase on a tilted lattice. On the leading order (Gutzwiller mean-field level), the tilt has no effect but on the next order quantum fluctuations appear and 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.

This talk is part of the Cold Atoms series.

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