Fig. 5: “Scanning mode” spectroscopy of momentum state lattices.
a-i Here, we show the layout for generating a quasi two-dimensional lattice. There are two counter-propagating laser beams that generate the lattice, and one beam orthogonal to both counter-propagating beams. The orthogonal beam provides the link between the injection site and the lattice. a-ii The three beams in (a-i) couple different momentum sites as shown here. The transition frequencies in the counter-propagating beam are chosen such that the probe site is connected to a site in the middle of the lattice. a-iii A simulated loss spectrum for the situation depicted in (a-ii), where initially all of the population is in the injection site. Here, tinj/tsys = 1/20 and we plot the remaining fraction of the population in the probe after 150 tunneling times. b-i Here we depict the frequencies necessary to make a lattice where the probe site is attached to the left edge of a uniform five-site lattice. b-ii The lattice beams interfere to make the effective five-site tight binding lattice with uniform tunneling, plus a probe site attached to the left edge of the lattice. b-iii Simulated spectrum for the situation depicted in (b-ii). Again, all of the population initially starts in the probe site, and fixing tinj/tsys = 1/20 we plot the remaining probe fraction after 150 tunneling times. Notice that there are two additional dips that were not present if we only probed into the center of the lattice.
