Fig. 3: Strongly and weakly interacting commensurate and incommensurate 1D systems.
From: Commensurate and incommensurate 1D interacting quantum systems
a Number of empty sites per 1D system vs J/U for 5 atoms on 5 lattice sites (black circles), 4 atoms on 4 sites (red squares), 5 atoms on 4 sites (blue diamonds). Observed empty sites result from both holes and doublons. Error bars show the standard error. Our numerical simulations show the number of empty sites for T = 0 (dashed lines) and for T = 0.15 U (dotted lines). b Probabilities of zero (red), two (orange) and four empty sites (brown) per 1D system vs J/U in a commensurate system with 4 atoms on 4 sites. c same for an incommensurate system with 5 atoms on 4 sites, showing the probabilities of finding one (blue) and three (cyan) empty sites. Each data point is obtained by averaging over 110−190 independent 1D quantum systems, and error bars in (b, c) are the Clopper-Pearson 95% confidence intervals.
