Synthesizing dispersion relations in a modulated tilted optical lattice
Synthesizing dispersion relations in a modulated tilted optical lattice
Dispersion relations are fundamental characteristics of the dynamics of quantum and wave systems. In this work we introduce a simple technique to generate a large variety of dispersion relations in a modulated tilted lattice. The technique is illustrated by important examples: the Dirac, Bogoliubov, and Landau dispersion relations (the latter …