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Journal Article

Effective Dirac dynamics of ultracold atoms in bichromatic optical lattices


Witthaut,  Dirk
Max Planck Research Group Network Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Witthaut, D., Salger, T., Kling, S., Grossert, C., & Weitz, M. (2011). Effective Dirac dynamics of ultracold atoms in bichromatic optical lattices. Physical Review A, 84(3): 033601. doi:10.1103/PhysRevA.84.033601.

Cite as: http://hdl.handle.net/11858/00-001M-0000-0029-1173-0
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.