# Synthesizing arbitrary dispersion relations in a modulated tilted optical lattice

@inproceedings{Garreau2021SynthesizingAD, title={Synthesizing arbitrary dispersion relations in a modulated tilted optical lattice}, author={J. Garreau and V'eronique Zehnl'e}, year={2021} }

Dispersion relations are fundamental characteristics of the dynamics of quantum and wave systems. In this work we introduce a simple technique to generate arbitrary dispersion relations in a modulated tilted lattice. The technique is illustrated by important examples: the Dirac, Bogoliubov and Landau dispersion relations (the latter exhibiting the roton and the maxon). We show that adding a slow chirp to the lattice modulation allows one to reconstruct the dispersion relation from dynamical… Expand

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