Fig. 4: Atom number, variance, and site occupation of commensurate and incommensurate systems.
From: Commensurate and incommensurate 1D interacting quantum systems
a Observed atom number normalised by the initial number of atoms, \(\tilde{N}\), vs density, n, for systems of 6 atoms prepared on 6 sites dynamically compressed to 5 and 4 sites (black), 5 atoms on 5 sites compressed to 4 and 3 sites (blue), and 4 atoms on 4 sites compressed to 3 and 2 sites (red). Experimental values are shown as squares, theoretical ones as circles. The statistical errors of the experimental values are smaller than the size of the datapoints. b Atom number variance, using the same densities as in (a). c–f Site-resolved probability to detect an empty lattice site with increasing density, for 4 atoms on 3 sites, 6 atoms on 4 sites, 5 atoms on 3 sites and 4 atoms on 2 sites, respectively. Error bars in (b–f) are the 95% Clopper-Pearson confidence intervals.
