Video files associated to Figures 2, 3, 9: 

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Fig2: Trotter-formula approximation: Wave function density in x1-x2 plane:
Time values range from t/\Delta t=1 to 10^4 with exponentially 
increasing values, other parameters are: N=128, U=2, R=1 
(R=initial distance of particles).

NN-lattice (left panels of Fig2) =>
DENSXX_0128_0128_0000_0000_1_1_2_1_1_1_NN.avi

HTC-lattice (left panels of Fig2) =>
DENSXX_0128_0128_0000_0000_1_1_2_1_1_1_HTC.avi

video with direct comparison of HTC- (left) and NN-lattice (right) =>
DENSXX_0128_0128_0000_0000_1_1_2_1_1_1_JOIN_HTC_NN.avi
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Fig3: Trotter-formula approximation: Wave function density in 
\Delta x-\Delta y plane:
Time values range from t/\Delta t=1 to 10^4 with exponentially 
increasing values, other parameters are: N=128, U=2, R=1.

NN-lattice (left panels of Fig2) =>
DENS2D_0128_0128_0000_0000_1_1_2_1_1_1_NN.avi

HTC-lattice (left panels of Fig2) =>
DENS2D_0128_0128_0000_0000_1_1_2_1_1_1_HTC.avi

video with direct comparison of HTC- (left) and NN-lattice (right) =>
DENS2D_0128_0128_0000_0000_1_1_2_1_1_1_JOIN_HTC_NN.avi
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Fig 9: videos for exact time evolution in sector p_{+x}=7\pi/8 and p_{+y}=0 
for N=384, U=2, R=1 in \Delta x-\Delta y plane:
Time values range from t/\Delta t=0.1 to 10^6 with exponentially 
increasing values:

U=0.5 (top panels of Fig. 9) => 
DENS2D_LOG100_0384_0384_0168_0000_1_1_0.5_1_1_2NONSYMLAThtc.avi

U=2 (bottom panels of Fig. 9) => 
DENS2D_LOG100_0384_0384_0168_0000_1_1_2_1_1_2NONSYMLAThtc.avi

Note that the panels in Fig. 9 correspond to a zoom of the left-bottom corner 
32x32 box ( 1/6 x 1/6 relative size) in comparison to the videos which 
correspond to the full 193 x 193 box (for a symmetrized state in both 
directions).
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