Figure 1: (a) Force applied to the optical lattice against time through frequency modulation of a lattice laser beam in Struck et al. [1]. By appropriately choosing times $T_1$ and $T_2$ the induced Peierls phase is adjusted. (b) The effective magnetic field indicated by the red arrow subtends the solid angle $\theta$, shown as light red shading, when an atom hops from site to site in the setup of Jiménez-García et al. [2]. The phase $\theta$ is imprinted on the atomic wave function in this process. (c) Measured quasimomenta when adiabatically changing $\theta$ as a function of time. The symbol $k_{FBZ}$ indicates the edge of the first Brillouin zone.