Data from:

"From short-time diffusive to long-time ballistic dynamics: the unusual center-of-mass motion of quantum bright solitons"

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

This page provides the data that underpins the article tiled "From short-time diffusive to long-time ballistic dynamics: the unusual center-of-mass motion of quantum bright solitons". All data provided here are in the same units as used in the corresponding article, unless otherwise explicitly stated. 

A preprint verision of this paper can be found on the arxiv:
http://arxiv.org/abs/1407.7633

The data was generated by CW, the figures were generated using gnuplot. Typing, e.g., 
gnuplot < DiffusiveBallisticSolitonWeissEtAl2014Fig1.gsc
would generate the first figure.

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Figure 1: gnuplot script DiffusiveBallisticSolitonWeissEtAl2014Fig1.gsc

balldiffGPE.dat: fourth row (single-particle density on the Gross-Pitaevskii level) as a function of both second row (position x) and third row (time t) 
 balldiffsingle.dat: fourth row (single-particle density on the many-particle quantum level) as a function of both second row (position x) and third row (time t) 
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Figure 2: gnuplot script DiffusiveBallisticSolitonWeissEtAl2014Fig2.gsc

panel a)

balldiffPRALiENS12.dat: second row (numerically simulated particle number) as a function of sixth row (time in seconds)
MapleNt.dat: second row [particle number given by the analytic formula  Eq. (14)] as a function of sixth row (time in seconds)

panel b)

blue solid line: "balldiffPRALiENS12.dat": fifth row (numerically simulated rms width with decohrence) as a function of sixth row (time in seconds)

black dashed line: "balldiffPRALiENS12_0.dat": fifth row (numerically simulated rms width without decoherence) as a function of sixth row (time in seconds)

magenta dashed line: 20*t**(0.5) (guide to the eye)

green dotted line: 17*t (guide to the eye)

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Figure 3 gnuplot script DiffusiveBallisticSolitonWeissEtAl2014Fig3.gsc

panel a)


dark blue solid line: "balldiffPRALiENS12.dat"  fifth row (numerically simulated rms width with decohrence) as a function of sixth row (time in seconds)

long-dashed brown line: "balldiffPRALiENS8.dat" fifth row (numerically simulated rms width with decohrence) as a function of sixth row (time in seconds)

short-dashed Cambridge blue line: "balldiffPRALiENS9.dat"  fifth row (numerically simulated rms width with decohrence) as a function of sixth row (time in seconds)

panel b)

dark blue solid line:   "balldiffPRALiENS12.dat" fifth row (numerically simulated rms width with decohrence) as a function of seventh row [time in units of \tau_{loss} defined in Eq. (15)]

long-dashed brown line: "balldiffPRALiENS8.dat" fifth row (numerically simulated rms width with decohrence) as a function of seventh row [time in units of \tau_{loss} defined in Eq. (15)]

short-dashed Cambridge blue line: "balldiffPRALiENS9.dat"  fifth row (numerically simulated rms width with decohrence)  as a function of seventh row [time in units of \tau_{loss} defined in Eq. (15)]

magenta dashed line 25*t**(0.5) (guide to the eye)

green dotted line 40*t (guide to the eye)

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Figure 4 gnuplot script DiffusiveBallisticSolitonWeissEtAl2014FigAppendix.gsc

panel a)

solid red curve: "balldiffPRALiENS2NB.dat" fifth row (numerically simulated rms width with decohrence)  as a function of seventh row [time in units of \tau_{loss} defined in Eq. (15)]

dashed black curve:  "balldiffPRALiENS2NA.dat"  fifth row (numerically simulated rms width with decohrence)  as a function of seventh row [time in units of \tau_{loss} defined in Eq. (15)]

magenta dashed curve 0.4*t**0.5 (guide to the eye) 

green dotted curve 0.3*t (guide to the eye) 

panel b)

red solid curve:  "balldiffPRALiENS2NBnewEnergy.dat" seventh row (Energy as in units of the initial energy) as a function of seventh row [time in units of \tau_{loss} defined in Eq. (15)] for the same parameters as in panel a of this figure


dashed black curve:   "balldiffPRALiENS2NAnewEnergy.dat" seventh row (Energy as in units of the initial energy) as a function of seventh row [time in units of \tau_{loss} defined in Eq. (15)] for the same parameters as in panel a of this figure

dark blue solid line: "balldiffPRALiENS12.dat"  seventh row (Energy as in units of the initial energy) as a function of seventh row [time in units of \tau_{loss} defined in Eq. (15)] for the same parameters as in Fig 3


long-dashed brown line: "balldiffPRALiENS8.dat"  seventh row (Energy as in units of the initial energy) as a function of sixth row (time in seconds) for the same parameters as in Fig 3

short-dashed Cambridge blue line: "balldiffPRALiENS9.dat" seventh row (Energy as in units of the initial energy) as a function of sixth row (time in seconds) for the same parameters as in Fig 3

wide dashed curev: 2.415542584

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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
