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Update to v1.0:

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Major overhaul: All sections have been changed and improved.

  Added: Computation of the condensate fraction

  Added: Discussion and plots of correlation function and momentum distribution

  Added: Section on numerical computation

  Added: Appendices on functional analysis

  Added: Detailed analysis of the operator K_e

  Change: Parameters for numerical simulations.

  Change: Renamed "Simplified approach" to "Lieb's simplified approach"

  Added: More bibliography

  Added: Acknowledgements
This commit is contained in:
Ian Jauslin
2025-02-06 15:10:06 -05:00
parent 3bd7865e45
commit 3dc01c5a75
28 changed files with 3681 additions and 1170 deletions
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19
figs/condensate.fig/condensate.gnuplot
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@ -8,14 +8,14 @@ unset mxtics
#set ytics 0.6, 0.1
set mytics 2
set xrange [4e-8:100]
set xrange [1e-8:100]
set yrange [:0.06]
set yrange [0.9:1]
# default output canvas size: 12.5cm x 8.75cm
set term lua tikz size 8,6 standalone
set key top left box linetype rgbcolor"#999999" width 0.3 height 0.3 spacing 1.3
set key bottom left box linetype rgbcolor"#999999" width 0.3 height 0.3 spacing 1.3
# set linestyle
@ -30,12 +30,13 @@ set pointsize 1
set logscale x
a=0.7666858699084325
#a=0.7666858699084325
a=1.2543564105910647
plot \
"simpleq.dat" using 1:($3<1e-5 ? $2 : 1/0) with lines ls 1 title "simple",\
"medeq.dat" using 1:($3<1e-5 ? $2 : 1/0) with lines ls 3 title "med",\
"bigeq.dat" using 1:($3<1e-5 ? $2 : 1/0) with lines ls 5 title "big",\
"2020-08-27+0.5.dat" using 1:(1-$3) with points ls 2 title "QMC" ,\
8./(3*sqrt(pi))*sqrt(x*a**3) ls 6 title "Bog"
"simpleq.dat" using 1:($3<1e-5 ? 1-$2 : 1/0) with lines ls 1 title "simple",\
"medeq.dat" using 1:($3<1e-5 ? 1-$2 : 1/0) with lines ls 3 title "med",\
"bigeq.dat" using 1:($3<1e-5 ? 1-$2 : 1/0) with lines ls 5 title "big",\
"2020-10-15+energy.dat" using 1:(1-$4) with points ls 2 title "QMC" ,\
1-8./(3*sqrt(pi))*sqrt(x*a**3) ls 6 title "Bog"