146 lines
4.9 KiB
TeX
146 lines
4.9 KiB
TeX
\documentclass[tikz]{standalone}
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\usepackage[small]{tensorstyle}
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\begin{document}
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\def\colorPsi{bg-red}
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\newcommand\setScopeMacros[5]{
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\directlua{
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tex.sprint("\\pgfmathsetmacro{\\#1x}{#2}")
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tex.sprint("\\pgfmathsetmacro{\\#1y}{#3}")
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tex.sprint("\\pgfmathsetmacro{\\#1w}{#4}")
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tex.sprint("\\pgfmathsetmacro{\\#1h}{#5}")
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}
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}
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% 1: number of tensors
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% 2: shift in (x,y)
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% 3: prefix of input points names
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% 4: prefix of output points names
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\newcommand{\drawBrickwall}[4]{
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\begin{scope}[shift={#2}]
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\pgfmathsetmacro{\N}{#1}
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\pgfmathsetmacro{\iMax}{\N/2-1}
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% invisible tensor sized nodes
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\tikzstyle{U} = [minimum size=\tensorSize cm, rounded corners=2pt]
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\foreach \i in {0,...,\iMax} {
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\pgfmathsetmacro{\j}{int(2*\i)}
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\pgfmathsetmacro{\k}{int(2*\i+1)}
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\pgfmathsetmacro{\l}{int(2*\i-1)}
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% Node points
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% First row
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\node[U] (#4\j-1) at (\j,0) {};
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\node[U] (#4\k-1) at (\k,0) {};
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% Second row, use place the outpoint for the first in last tensor in the first row
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\pgfmathparse{\i==0}
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\ifnum\pgfmathresult=1 \relax
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\node[U] (#4\j) at (\j, 0) {};
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\node[U] (#4\k) at (\k,-1) {};
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\else
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\pgfmathparse{\i>=\iMax}
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\ifnum\pgfmathresult=1 \relax
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\node[U] (#4\j) at (\j,-1) {};
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\node[U] (#4\k) at (\k,0) {};
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\else
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\node[U] (#4\j) at (\j,-1) {};
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\node[U] (#4\k) at (\k,-1) {};
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\fi
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\fi
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% first row tensor
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% workaround for getting a two-size tensor with the same height as the
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% single site node tensor
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\begingroup
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\node[draw, fit=(#4\j-1)(#4\k-1), inner sep=0, tensorcorners] {};
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\endgroup
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% connect to previous
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\ifstrempty{#3}{}{
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\draw[leg] (#3\j) -- (#4\j-1);
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\draw[leg] (#3\k) -- (#4\k-1);
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}
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% second row tensor
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\pgfmathparse{\i>0}
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\ifnum\pgfmathresult=1 \relax
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\node[draw, fit=(#4\l)(#4\j), inner sep=0, tensorcorners] {};
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\fi
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\pgfmathparse{\i<=\iMax}
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\ifnum\pgfmathresult=1 \relax
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\draw[leg] (#4\j-1) -- (#4\j);
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\draw[leg] (#4\k-1) -- (#4\k);
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\fi
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}
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\end{scope}
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}
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\begin{tikzpicture}[x=\unitCm cm,y=\unitCm cm, scale=\scale, transform shape]
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% for positioning
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% \drawGrid{-1}{10}{-20}{1}
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\pgfmathsetmacro{\N}{10}
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\pgfmathsetmacro{\iMax}{\N-1}
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% Heffmat
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\begin{scope}[shift={(0,0)}]
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% Psi
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\foreach \i in {0,...,\iMax} {
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\node[ten] (M\i) at (\i,0) {};
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\pgfmathsetmacro{\j}{int(\i-1)}
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\pgfmathparse{\j >= 0}
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\ifnum\pgfmathresult=1 \relax
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\draw[leg] (M\i) -- (M\j);
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\fi
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}
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\begin{scope}[on background layer]
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\drawAroundRect[draw=none, fill=\colorPsi,tensorcorners]{(M0)}{\iMax}{0}
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\end{scope}
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% \node[anchor=west] at (\iMax+\dLabel, 0) {$\big\}M^{[i]}$};
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\node[anchor=west] at (\iMax+\dLabel, 0) {$\psi(t=0)$};
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\end{scope}
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\drawBrickwall{\N}{(0,-1)}{M}{U1}
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\drawBrickwall{\N}{(0,-3)}{U1}{U2}
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\drawBrickwall{\N}{(0,-7)}{}{U3}
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\begin{scope}[on background layer]
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\drawAroundRect[draw=none,fill=bg2,tensorcorners]{(U10-1)}{\N-1}{-1}
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\drawAroundRect[draw=none,fill=bg2,tensorcorners]{(U20-1)}{\N-1}{-1}
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\drawAroundRect[draw=none,fill=bg2,tensorcorners]{(U30-1)}{\N-1}{-1}
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% \drawAroundPoints[U]{(#4\j-1)(#4\k-1)}
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\end{scope}
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\node[anchor=west] at (\iMax+\dLabel, -1.5) {$n = 1$};
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\node[anchor=west] at (\iMax+\dLabel, -3.5) {$n = 2$};
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\node[anchor=west] at (\iMax+\dLabel, -7.5) {$n = n_\text{steps}$};
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% connect dashed
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\foreach \i in {0,...,\iMax} {
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\draw[leg] (U2\i) -- (\i,-5);
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\draw[leg,dotted] (\i,-5) -- (\i,-6);
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\draw[leg] (\i,-6) -- (U3\i-1);
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}
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\begin{scope}[shift={(0,-9)}]
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% PsiTilde
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\foreach \i in {0,...,\iMax} {
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\node[ten] (m\i) at (\i,0) {};
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\pgfmathsetmacro{\j}{int(\i-1)}
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\pgfmathparse{\j >= 0}
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\ifnum\pgfmathresult=1 \relax
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\draw[leg] (m\i) -- (m\j);
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\fi
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% leg to Us
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\draw[leg] (U3\i) -- (m\i);
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}
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\begin{scope}[on background layer]
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\drawAroundRect[draw=none,fill=\colorPsi,tensorcorners]{(m0)}{\iMax}{0}
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\end{scope}
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% \node[anchor=west] at (\iMax+\dLabel, 0) {$\big\}\tilde{M}^{[i]}$};
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\node[anchor=west] at (\iMax+\dLabel, 0) {${\psi}(t=n_\text{steps}\delta t)$};
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\end{scope}
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% \node[draw, dashed, rounded corners=5pt, fit=(M0) (M2) (m0) (m2)] (group) {};
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\end{tikzpicture}
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\end{document}
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