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arXiv · 2107.11268

Synthesizing arbitrary dispersion relations in a modulated tilted optical lattice

Jean Claude Garreau·Véronique Zehnlé
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Abstract

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 quantities. Finally, we generalize the technique to higher dimensions, and generate graphene-like Dirac points and flat bands in two dimensions.

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Jean Claude Garreau, Véronique Zehnlé. 2021-07-23. Synthesizing arbitrary dispersion relations in a modulated tilted optical lattice. https://doi.org/10.1103/physreva.105.013318

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