On the effective Dirac dynamics of ultracold atoms in bichromatic optical lattices
Quantum Physics
2012-03-19 v1 Quantum Gases
Abstract
We study the dynamics of ultracold atoms in tailored bichromatic optical lattices. By tuning the lattice parameters, one can readily engineer the band structure and realize a Dirac point, i.e. a true crossing of two Bloch bands. The dynamics in the vicinity of such a crossing is described by the one-dimensional Dirac equation, which is rigorously shown beyond the tight-binding approximation. Within this framework we analyze the effects of an external potential and demonstrate numerically that it is possible to demonstrate Klein tunneling with current experimental setups.
Keywords
Cite
@article{arxiv.1102.4047,
title = {On the effective Dirac dynamics of ultracold atoms in bichromatic optical lattices},
author = {D. Witthaut and T. Salger and S. Kling and C. Grossert and M. Weitz},
journal= {arXiv preprint arXiv:1102.4047},
year = {2012}
}
Comments
6 pages, 5 figures