University of Birmingham > Talks@bham > Cold Atoms > Sauter-Schwinger like tunneling in tilted Bose-Hubbard lattices

## Sauter-Schwinger like tunneling in tilted Bose-Hubbard latticesAdd to your list(s) Download to your calendar using vCal - Patrick Navez (Max Plank Institute Dresden)
- Wednesday 15 February 2012, 15:00-16:00
- Physics East 217.
If you have a question about this talk, please contact Vincent Boyer. Note unusual time 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. ## This talk is included in these lists:Note that ex-directory lists are not shown. |
## Other listsApplied Mathematics Seminar Series Topology and Dynamics seminar SoCS PhD Research Training Sessions## Other talksQuantum simulation of strongly correlated fermions: A theory perspective Generalised hydrodynamics and universalities of transport in integrable (and non-integrable) spin chains LovĂˇsz' Theorem and Comonads in Finite Model Theory |