explanation of video file names: Videos for full 1D quantum time evolution: ------------------------------------------ for N=128, U=2, R=1: |\psi(x_1,x_2)| => DENS_LOG100_0128_1.00_64_1.00_0.00_1_1_2.avi => Fig. 1 top panels |\bar\psi(p_+,\Delta x)| => DENSK_LOG100_0128_1.00_64_1.00_0.00_1_1_2.avi => Fig. 1 bottom panels In both videos there 702 time values in log scale containing t=0 and such that 10^{-1}\le t/\Delta t \le 10^6 with \Delta t=1/B_1=1/(8+U) with 25 images per second this gives roughly 28 seconds of video. ------------------------------------------- Videos for 2D quantum time evolution in certain p_+ sectors: ------------------------------------------------------------ DENS2D_LOG100_0128_0128_0000_0000_1_1_0.5_1_1_2.avi DENS2D_LOG100_0128_0128_0000_0000_1_1_2_1_1_2.avi DENS2D_LOG100_0128_0128_0042_0042_1_1_0.5_1_1_2.avi DENS2D_LOG100_0128_0128_0042_0042_1_1_2_1_1_2.avi DENS2D_LOG100_0128_0128_0063_0063_1_1_0.5_1_1_2.avi DENS2D_LOG100_0128_0128_0063_0063_1_1_2_1_1_2.avi DENS2D_LOG100_0512_0512_0000_0000_1_1_0.5_1_1_2.avi DENS2D_LOG100_0512_0512_0000_0000_1_1_2_1_1_2.avi DENS2D_LOG100_0512_0512_0170_0170_1_1_0.5_1_1_2.avi DENS2D_LOG100_0512_0512_0170_0170_1_1_2_1_1_2.avi DENS2D_LOG100_0512_0512_0255_0255_1_1_0.5_1_1_2.avi DENS2D_LOG100_0512_0512_0255_0255_1_1_2_1_1_2.avi The numbers in these file names represent: N_x, N_y, l_{+x}, l_{+y}, sym_x, sym_y, U, Uw, R, fig_exponent meaning: N_x,y = system size in x,y direction, here always N=N_x=N_y with two cases N=128,512 l_x,y = integer number associated to p_{+x,y} such that p_{+x,y} = 2\pi l_x,y/N sym_x,y = 1 for symmetric case in x,y direction (always 1 here) U = interaction value, here either U=2 or U=0.5 Uw = 1 (a certain interaction parameter which is always 1 here) fig_exponent = 2 meaning that the color bar numbers correspond to {\rho(...)}^{1/fig_exponent}=|\psi(...)| These files correspond to different panels of Fig. 3 (U=2) or Fig. S7 (U=0.5). For N=128 videos for all three values: p_+=0, p_+\approx 2\pi/3 and p_+\approx \pi are provided even though in Figs. 3, S7 for N=128 only one p_+ case is shown. For N=512 also videos for all three p_+ values are provided (but here all three cases already appear in Figs. 3, S7) Time scale is as in 1D with modified \Delta t=1/B_2=1/(16+U) ----------------------------------------------------------------- Videos for 2D Trotter formula quantum time evolution ---------------------------------------------------- Here the numbers for N and U in file names are as above and other numbers are of no interest: N=128, U=2, \rho_rel (see Eq. (S13) of SuppMat) DENS2D_TROTTER_0128_0128_0000_0000_1_1_2_1_1_1.avi => top panels of Fig. 4 N=128, U=0.5, \rho_rel (see Eq. (S13) of SuppMat) DENS2D_TROTTER_0128_0128_0000_0000_1_1_0.5_1_1_1.avi => bottom left panel of Fig. S7 N=128, U=2, \rho_XX (see Eq. (S14) of SuppMat) DENSXX_TROTTER_0128_0128_0000_0000_1_1_2_1_1_1.avi => bottom panels of Fig. 4 N=128, U=0.5, \rho_XX (see Eq. (S14) of SuppMat) DENSXX_TROTTER_0128_0128_0000_0000_1_1_0.5_1_1_1.avi => bottom right panel of Fig. S7 Time scale: 464 time values which are integer multiples of \Delta t=1/B_2=1/(16+U) (which is also Trotter time step) with rough log-scale and range: 1\le t/\Delta t \le 10^4 with 25 images per second this gives roughly 18.5 seconds of video. ----------------------------------------------------