
Supporting Data for:

"Superballistic center-of-mass motion in one-dimensional attractive Bose gases"

Authors: Christoph Weiss, Simon L. Cornish, Simon A. Gardiner and Heinz-Peter Breuer

This page provides the data tha tuniderbins the article titled "Superballistic center-of-mass motion in one-dimensional attractive Bose gases".

A preprint fot his paper can soon be found on the arxiv.

The data was generated by CW, the figures were generated using gnuplot. Typing, e.g., 
gnuplut < SuperballisticWeissEtAl2015Fig1First.gsc
would generate the first figure

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Figure 1 gnuplot script SuperballisticWeissEtAl2015Fig1First.gsc

a) particle number (scond column), 6000-particle number plotted as a function of time (6th column):
 paperballdiffENS12WithSinglek05Threelosses0.dat : blue,
 paperballdiffENS12WithSinglek0001Threelosses0.dat : red
 paperballdiff12WithSingleThreelosses0.dat : brown
 balldiff12WithSinglek0005Threelosses0.dat : dark green

b) 
paperballdiffENS12WithSinglek05Threelosses0.dat 5th column as a function of 6th column (blue) numerics
((986.9604402*x+41.53018311*x**3)**(0.5)) (light blue) analytics
 20*(x**(0.5)) (magenta) guide to the eye
 ((163.9545916*x**2)**(0.5)) (green) guide to the eye
 
c)
 paperballdiff12WithSingleThreelosses0.dat 5th column as a function of 6th column (brown) numerics   ((98.69604402*x+4.153018311*x**3)**(0.5))   (light blue) analytics
20*(x**(0.5)) (magenta) guide to the eye  
((163.9545916*x**2)**(0.5)) (green) guide to the eye

d)
balldiff12WithSinglek0005Threelosses0.dat ,  5th column as a function of 6th column (dark green) numerics     ((9.869604402*x+.4153018311*x**3)**(0.5))  (light blue) analytics
20*(x**(0.5)) (magenta) guide to the eye
 ((163.9545916*x**2)**(0.5)) (green) guide to the eye

e) 
paperballdiffENS12WithSinglek0001Threelosses0.dat 5th column as a function of 6th column (red) numerics 
   ((1.973920880*x+0.8306036622e-1*x**3)**(0.5)) (light blue) analytics
20*(x**(0.5)) (magenta)  guide to the eye
balldiffPRALiENS12_0.dat 5th column as a function of 6th column (red) numerics without losses (lies on top of other red curve)
((163.9545916*x**2)**(0.5)) (green)  guide to the eye 


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Figure 2

balldiffPRALiENS12.dat   5th column as a function of 6th column (blue) numerics  
balldiffPRALiENS8.dat  5th column as a function of 6th column (brown) numerics 
balldiffPRALiENS9.dat"  5th column as a function of 6th column (red) numerics
((598.0478126*x+25.16517803*x**3+163.9545914*x**2+0.8333333330e-2)**(0.5))  (light blue) analytics ((69.99301338*x+1.308553487*x**3+48.56294449*x**2+0.1250000000e-1)**(0.5))  (light blue) analytics ((3337.860801*x+97.52409174*x**3+94.86847708*x**2+0.1000000000e-1)**(0.5))  (light blue) analytics
7.1*x (green)  guide to the eye 
3.1*x**(1.5) (black)  guide to the eye 

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Figure 3

a)

"paperballdiffLiCWYC12WithSingle.dat"  5th column as a function of 6th column (brown) numerics   
30*x (green)  guide to the eye 
 ((16.44934067*x+1737.435098*x**3+6859.118837*x**2+.5000000002)**(0.5)) (light blue)  analytics
 paperballdiffLiCWYC12WithSingle2.dat 5th column as a function of 6th column (red) numerics  
30*x**(1.5) (black)  guide to the eye 
((16.44934067*x+1737.435098*x**3+1097.459014*x**2+3.125000001)**(0.5)) (light blue)  analytics

b) BALLDIFFSPD.DAT third column as a function of the two first

c) BALLDIFFSPDNORM.DAT third column as a function of the two first



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Figure 4

upper panel
 balldiffRb3000.dat 3000 minus second column as a function of 6th column (blue) numerics
 balldiffRb3000.dat second column as a function of 6th column (blue) numerics
 balldiffRb4000.dat 4000 minus second column as a function of 6th column (red) numerics 
balldiffRb4000.dat" second column as a function of 6th column (red) numerics

lower panel 

 paperballdiffRb3000.dat  5th column as a function of 6th column (blue) numerics   
 balldiffRb4000.dat 5th column as a function of 6th column (red) numerics  ((2041.068028*x+.3850084091*x**3+.3674872037*x**2+0.1666666667e-1)**(0.5))  (light blue)  analytics ((6483.570665*x+2.174949931*x**3+.8713712741*x**2+0.1250000000e-1)**(0.5))  (light blue)  analytics
2*x (green)  guide to the eye 
2*x**(1.5) (black)  guide to the eye 

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Figure 5

  balldiffRb3000.dat second column as a function of 6th column (thick green) numerics
 MapleRbLossInclt1.dat 2nd, 3rd, 4th .... 9th column as a function of the first column (green) analytics
MapleRbLoss.dat 2nd, 3rd, 4th .... 9th column as a function of the first column (black) analytics

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Figure 6

 0.45*x (green) guide to the eye
 paperballdiffRbN20.dat 5th column as a function of 6th column (red) numerics 
0.15*x**(1.5) (black) guide to the eye,
((.4424315072*x+0.5081124609e-2*x**3+.1491598799*x**2+2.500000001)**(0.5))  (light blue)  analytics


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Figure 7

as Fig 1 except for

b)

 ((986.9604402*x+41.53018311*x**3+163.9545914*x**2+0.8333333330e-2)**(0.5)) (light blue) analytics

c)

 ((98.69604402*x+4.153018311*x**3+163.9545914*x**2+0.8333333330e-2)**(0.5)) (light blue) analytics

d)

 ((9.869604402*x+.4153018311*x**3+163.9545914*x**2+0.8333333330e-2)**(0.5))  (light blue) analytics

e)

 ((1.973920880*x+0.8306036622e-1*x**3+163.9545914*x**2+0.8333333330e-2)**(0.5)) (light blue) analytics

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Most Datafiles also contain data that is not plotted. The full list is:


First column: time in soliton units t
Second column: number of particles  N
Third column: rms fluctuations for second column
Fourth column: position of the particle
Fifth column:  rms fluctuations for fourth column
Sixth column: time in seconds
Seventh column: time in units of tau_loss
Eighth column: variance of second column in units of initial number squared
Ninth column (where present):  kinetic energy in units of the initial kinetic energy
Tenth column (where present):  rms fluctuations of ninth column
