Max Planck Institute for Dynamics and Self-Organization -- Department for Nonlinear Dynamics and Network Dynamics Group
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Effective Dirac dynamics of ultracold atoms in bichromatic optical lattices

Dirk Witthaut, Tobias Salger, Sebastian Kling, Christopher Grossert, and Martin Weitz (2011)

Phys. Rev. A 84(3):033601.  ( BibTeX export )

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.