Structure-dynamics relation in shaken optical lattices
Quantum Physics
2015-09-15 v1 Quantum Gases
Abstract
Shaken optical lattices permit to coherently modify the tunneling of particles in a controllable manner. We introduce a general relation between the geometry of shaken lattices and their admissible effective dynamics. Using three different examples, we illustrate the symmetries of the emerging tunneling rates. The results provide a clear framework to understand the relation between lattice geometry and accessible dynamics, and a tool to straightforwardly derive truncated effective Hamiltonians on arbitrary geometries.
Cite
@article{arxiv.1505.07698,
title = {Structure-dynamics relation in shaken optical lattices},
author = {Albert Verdeny and Florian Mintert},
journal= {arXiv preprint arXiv:1505.07698},
year = {2015}
}
Comments
This manuscript contains material from the first version of arXiv:1502.07350 that is not contained in its latter versions