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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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30
figs/correlation.fig/correlation0001.gnuplot Normal file
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set title "$\\rho=0.0001$"
set ylabel "$\\frac{C_2}{\\rho^2}$" norotate offset -1,0
set xlabel "$|x|$"
set yrange [:1.1]
# default output canvas size: 12.5cm x 8.75cm
set term lua tikz size 8,6 standalone
set key bottom right box linetype rgbcolor"#999999" width 0.3 height 0.3 spacing 1.3
# set linestyle
set style line 1 linetype rgbcolor "#4169E1" linewidth 2 dashtype "."
set style line 2 linetype rgbcolor "#DC143C" linewidth 1
set style line 3 linetype rgbcolor "#32CD32" linewidth 2 dashtype "-"
set style line 4 linetype rgbcolor "#4B0082" linewidth 2
set style line 5 linetype rgbcolor "#DAA520" linewidth 2
set style line 6 linetype rgbcolor "#555500" linewidth 2
set pointsize 0.5
rho=1e-4
plot \
"simpleq0001.dat" using 1:($2/rho**2) with lines ls 1 title "simple",\
"medeq0001.dat" using 1:($2/rho**2) with lines ls 3 title "med",\
"bigeq0001.dat" using 1:($2/rho**2) with lines ls 5 title "big",\
"2020-10-01+correlation16-0001.dat" using 1:2 ls 2 title "QMC"