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
43 lines
1.3 KiB
Gnuplot
43 lines
1.3 KiB
Gnuplot
set ylabel "$\\eta$" norotate offset -1,0
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set xlabel "$\\rho$"
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set xtics 1e-6, 100, 100
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set xtics add ("$10^{-6}$" 0.000001, "$10^{-4}$" 0.0001, "$10^{-2}$" 0.01, "$1$" 1.0, "$10^2$" 100)
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unset mxtics
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#set ytics 0.6, 0.1
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set mytics 2
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set xrange [1e-8:100]
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set yrange [0.9:1]
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# default output canvas size: 12.5cm x 8.75cm
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set term lua tikz size 8,6 standalone
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set key bottom left box linetype rgbcolor"#999999" width 0.3 height 0.3 spacing 1.3
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# set linestyle
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set style line 1 linetype rgbcolor "#4169E1" linewidth 2 dashtype "."
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set style line 2 linetype rgbcolor "#DC143C" linewidth 2
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set style line 3 linetype rgbcolor "#32CD32" linewidth 2 dashtype "-"
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set style line 4 linetype rgbcolor "#4B0082" linewidth 2
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set style line 5 linetype rgbcolor "#DAA520" linewidth 2
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set style line 6 linetype rgbcolor "#999999" linewidth 1.5 dashtype (1,5)
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set pointsize 1
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set logscale x
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#a=0.7666858699084325
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a=1.2543564105910647
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plot \
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"simpleq.dat" using 1:($3<1e-5 ? 1-$2 : 1/0) with lines ls 1 title "simple",\
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"medeq.dat" using 1:($3<1e-5 ? 1-$2 : 1/0) with lines ls 3 title "med",\
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"bigeq.dat" using 1:($3<1e-5 ? 1-$2 : 1/0) with lines ls 5 title "big",\
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"2020-10-15+energy.dat" using 1:(1-$4) with points ls 2 title "QMC" ,\
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1-8./(3*sqrt(pi))*sqrt(x*a**3) ls 6 title "Bog"
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