Add images for website
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61
images/Makefile
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61
images/Makefile
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# Matthias Quintern 2025
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# Compile image (tex) to pdf,
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# convert to svg in tmp dir
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# and then replace all color occurances with css class names
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SRC_DIR = src
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PDF_DIR = out
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TMP_DIR = /tmp/latex-img
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SVG_DIR = svg
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WDIR = $(shell pwd)
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DIRS = $(SRC_DIR) $(PDF_DIR) $(TMP_DIR) $(SVG_DIR)
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LATEX = lualatex
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BIBER = biber
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REPL_COLORS = python3 repl-colors.py
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DEPS = $(SRC_DIR)/colorscheme.sty $(SRC_DIR)/tensorstyle.sty
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SRC_FLS = $(wildcard $(SRC_DIR)/*.tex)
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SRC_FLS_= $(notdir $(SRC_FLS))
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PDF_FLS = $(SRC_FLS_:%.tex=$(PDF_DIR)/%.pdf)
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TMP_FLS = $(SRC_FLS_:%.tex=$(TMP_DIR)/%.svg)
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SVG_FLS = $(SRC_FLS_:%.tex=$(SVG_DIR)/%.svg)
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# PDF_FLS = $(foreach file,$(notdir $(SRC_FLS)), $(PDF_DIR)/$(file))
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# TMP_FLS = $(foreach file,$(notdir $(SRC_FLS)), $(TMP_DIR)/$(file))
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# SVG_FLS = $(foreach file,$(notdir $(SRC_FLS)), $(SVG_DIR)/$(file))
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LATEX_OPTS := -output-directory=$(WDIR)/$(PDF_DIR) -interaction=nonstopmode -shell-escape
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.PHONY: default release clean scripts
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default: $(SVG_FLS)
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allpdf: $(PDF_FLS)
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allsvg: $(SVG_FLS)
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$(DIRS):
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mkdir -p $@
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# Default target
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$(PDF_DIR)/%.pdf: $(SRC_DIR)/%.tex $(DEPS) | $(PDF_DIR)
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cd $(SRC_DIR) && lualatex $(LATEX_OPTS) $(notdir $<)
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$(TMP_DIR)/%.svg: $(PDF_DIR)/%.pdf | $(TMP_DIR)
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inkscape --export-filename=$@ $<
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# pdf2svg $< $@
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$(SVG_DIR)/%.svg: $(TMP_DIR)/%.svg | $(SVG_DIR)
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$(REPL_COLORS) --input $< --output $@
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clean:
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rm -r $(SVG_FLS) $(TMP_DIR) $(PDF_DIR)
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print:
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@echo '$(notdir $(SRC_FLS))'
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@echo '$(PDF_FLS)'
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@echo '$(TMP_FLS)'
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@echo '$(SVG_FLS)'
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.PHONY: all clean allpdf allsvg print
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56
images/src/.old/dmrg-Heff-mat.tex
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56
images/src/.old/dmrg-Heff-mat.tex
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\documentclass[tikz]{standalone}
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\usepackage{amsmath}
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\usetikzlibrary{calc}
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\usetikzlibrary{backgrounds}
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\input{.common.tex}
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\begin{document}
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\begin{tikzpicture}[x=0.4cm,y=0.4cm]
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\node (M0) at (0,0) {};
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\node[below=of M0] (W0) {};
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\node[below=of W0] (m0) {};
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\foreach \i in {0,...,2} {
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\pgfmathsetmacro{\j}{int(\i+1)}
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\node[right=of M\i] (M\j) {}; % $M^{[\the\numexpr\i+1]}$
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\node[right=of W\i] (W\j) {}; % $W^{[\the\numexpr\i+1]}$
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\node[right=of m\i] (m\j) {}; % $m^{[\the\numexpr\i+1]}$
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% horizontal
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}
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% \pgfmathsetmacro{\dx}{0.3*\nodeDistance}
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% \pgfmathsetmacro{\dy}{0.3*\nodeDistance}
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\def\dx{0.4}
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\def\dy{0.4}
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% \node[draw, dashed, rounded corners=5pt, fit=(M0) (M2) (m0) (m2)] (group) {};
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\begin{scope}[on background layer]
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\draw[fill=\colorHeff,rounded corners=2]
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($(M0)+(-\dx, \dy)$) --
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($(M2)+( \dx, \dy)$) --
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($(m2)+( \dx,-\dy)$) --
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($(m0)+(-\dx,-\dy)$) --
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cycle;
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\draw[fill=\colorTheta,rounded corners=2pt]
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($(M3)+(-\dx, \dy)$) --
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($(M3)+( \dx, \dy)$) --
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($(m3)+( \dx,-\dy)$) --
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($(m3)+(-\dx,-\dy)$) --
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cycle;
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% \draw[fill=\colorTheta,rounded corners=2pt]
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% ($(M3)+(-\dx, \dy)$) --
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% ($(M3)+( \dx, \dy)$) --
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% ($(m3)+( \dx,-\dy)$) --
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% ($(m3)+(-\dx,-\dy)$) --
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% cycle;
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\end{scope}
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% \draw node[above left=of M0] {} -- node[above right=of M2] {} -- node[above right=of W2] {};
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\node[above=0.1 of M1] (Heff) {$H_\text{eff}$};
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\node[above=0.1 of M3] (Theta) {$\Theta$};
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\end{tikzpicture}
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\end{document}
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83
images/src/.old/dmrg-Heff.tex
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83
images/src/.old/dmrg-Heff.tex
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\documentclass[tikz]{standalone}
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\usepackage{amsmath}
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\usetikzlibrary{calc}
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\usetikzlibrary{backgrounds}
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\input{.common.tex}
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% Heff with Theta and Theta*
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\begin{document}
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\begin{tikzpicture}[x=0.5cm,y=0.5cm]
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\node[ten] (M0) at (0,0) {};
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\node[mpo,below=of M0] (W0) {};
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\node[ten,below=of W0] (m0) {};
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\draw[leg] (M0) -- (W0);
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\draw[leg] (W0) -- (m0);
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\pgfmathsetmacro{\N}{9}
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\pgfmathsetmacro{\iMax}{\N-2}
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\foreach \i in {0,...,\iMax} {
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\pgfmathsetmacro{\j}{int(\i+1)}
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\node[ten, right=of M\i] (M\j) {}; % $M^{[\the\numexpr\i+1]}$
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\node[mpo, right=of W\i] (W\j) {}; % $W^{[\the\numexpr\i+1]}$
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\node[ten, right=of m\i] (m\j) {}; % $m^{[\the\numexpr\i+1]}$
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% horizontal
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\pgfmathparse{\j>5 || \j<3 || \j==4}
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\ifnum\pgfmathresult=1 \relax
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\draw[leg] (M\i) -- (M\j);
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\draw[leg] (m\i) -- (m\j);
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\fi
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\draw[leg] (W\i) -- (W\j);
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% vertical
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\pgfmathparse{\j>4 || \j<3}
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\ifnum\pgfmathresult=1 \relax
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\draw[leg] (M\j) -- (W\j);
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\draw[leg] (W\j) -- (m\j);
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\fi
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}
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% \pgfmathsetmacro{\dx}{0.3*\nodeDistance}
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% \pgfmathsetmacro{\dy}{0.3*\nodeDistance}
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\def\dx{0.4}
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\def\dy{0.4}
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% \node[draw, dashed, rounded corners=5pt, fit=(M0) (M2) (m0) (m2)] (group) {};
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\begin{scope}[on background layer]
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\draw[fill=\colorHeff,rounded corners=2]
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($(M0)+(-\dx, \dy)$) --
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($(M2)+( \dx, \dy)$) --
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($(W2)+( \dx, \dy)$) --
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($(W5)+(-\dx, \dy)$) --
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($(M5)+(-\dx, \dy)$) --
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($(M8)+( \dx, \dy)$) --
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($(m8)+( \dx,-\dy)$) --
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($(m5)+(-\dx,-\dy)$) --
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($(W5)+(-\dx,-\dy)$) --
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($(W2)+( \dx,-\dy)$) --
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($(m2)+( \dx,-\dy)$) --
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($(m0)+(-\dx,-\dy)$) --
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cycle;
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\draw[fill=\colorTheta,rounded corners=2pt]
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($(M3)+(-\dx, \dy)$) --
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($(M4)+( \dx, \dy)$) --
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($(M4)+( \dx,-\dy)$) --
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($(M3)+(-\dx,-\dy)$) --
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cycle;
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\draw[fill=\colorTheta,rounded corners=2pt]
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($(m3)+(-\dx, \dy)$) --
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($(m4)+( \dx, \dy)$) --
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($(m4)+( \dx,-\dy)$) --
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($(m3)+(-\dx,-\dy)$) --
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cycle;
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\end{scope}
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% \draw node[above left=of M0] {} -- node[above right=of M2] {} -- node[above right=of W2] {};
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% \node[left=of W0] (Heff) {$H_\text{eff}$ = };
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\node[anchor=south,above=0.1 of M1] (Heff) {$H_\text{eff}$};
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\node[anchor=south] (Theta) at ($(M3)+0.5*(M4)-0.5*(M3)+(0,0.4)$) {$\Theta$};
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\node[anchor=north] (ThetaC) at ($(m3)+0.5*(m4)-0.5*(m3)-(0,0.4)$) {$\overline{\Theta}$};
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\end{tikzpicture}
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\end{document}
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28
images/src/.old/dmrg.tex
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images/src/.old/dmrg.tex
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\documentclass[tikz]{standalone}
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\input{.common.tex}
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\begin{document}
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\begin{tikzpicture}
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\node[ten] (M0) at (0,0) {};
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\node[mpo,below=of M0] (W0) {};
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\node[ten,below=of W0] (m0) {};
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\draw[leg] (M0) -- (W0);
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\draw[leg] (W0) -- (m0);
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\foreach \i in {0,...,6} {
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\pgfmathsetmacro{\j}{int(\i+1)}
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\node[ten, right=of M\i] (M\j) {}; % $M^{[\the\numexpr\i+1]}$
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\node[mpo, right=of W\i] (W\j) {}; % $W^{[\the\numexpr\i+1]}$
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\node[ten, right=of m\i] (m\j) {}; % $m^{[\the\numexpr\i+1]}$
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% horizontal
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\draw[leg] (M\i) -- (M\j);
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\draw[leg] (W\i) -- (W\j);
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\draw[leg] (m\i) -- (m\j);
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% vertical
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\draw[leg] (M\j) -- (W\j);
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\draw[leg] (W\j) -- (m\j);
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}
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\end{tikzpicture}
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\end{document}
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29
images/src/colorscheme.sty
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29
images/src/colorscheme.sty
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\ProvidesPackage{colorscheme}
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\RequirePackage{xcolor}
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\definecolor{fg0}{HTML}{1d2021}
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\definecolor{bg0}{HTML}{f9f5d7}
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\definecolor{fg1}{HTML}{3c3836}
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\definecolor{fg2}{HTML}{504945}
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\definecolor{fg3}{HTML}{665c54}
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\definecolor{fg4}{HTML}{7c6f64}
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\definecolor{bg1}{HTML}{ebdbb2}
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\definecolor{bg2}{HTML}{d5c4a1}
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\definecolor{bg3}{HTML}{bdae93}
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\definecolor{bg4}{HTML}{a89984}
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\definecolor{fg-red}{HTML}{9d0006}
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\definecolor{fg-orange}{HTML}{af3a03}
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\definecolor{fg-yellow}{HTML}{b57614}
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\definecolor{fg-green}{HTML}{79740e}
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\definecolor{fg-aqua}{HTML}{427b58}
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\definecolor{fg-blue}{HTML}{076678}
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\definecolor{fg-purple}{HTML}{8f3f71}
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\definecolor{fg-gray}{HTML}{7c6f64}
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\definecolor{bg-red}{HTML}{795040}
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\definecolor{bg-orange}{HTML}{775b3a}
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\definecolor{bg-yellow}{HTML}{78683f}
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\definecolor{bg-green}{HTML}{6b673d}
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\definecolor{bg-aqua}{HTML}{63684e}
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\definecolor{bg-blue}{HTML}{616354}
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\definecolor{bg-purple}{HTML}{715c54}
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\definecolor{bg-gray}{HTML}{686050}
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79
images/src/illu_bose-hubbard.tex
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79
images/src/illu_bose-hubbard.tex
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\documentclass[tikz]{standalone}
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\usepackage{tensorstyle}
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\begin{document}
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% 1: color
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% 2: pos
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\newcommand\drawParticle[2]{
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\draw[fill=#1] #2 circle (0.15);
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}
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% 1: pos
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% 2: n particles
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\newcommand\drawSite[2]{
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\pgfmathsetmacro\dx{0.06}
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\pgfmathparse{#2 > 5}
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\ifnum\pgfmathresult=1 \relax
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\drawParticle{bg4}{($#1+(+\dx,-\dx)$)}
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\fi
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\pgfmathparse{#2 > 4}
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\ifnum\pgfmathresult=1 \relax
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\drawParticle{bg3}{($#1+(+\dx,-\dx)$)}
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\fi
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\pgfmathparse{#2 > 3}
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\ifnum\pgfmathresult=1 \relax
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\drawParticle{bg2}{($#1+(-\dx,+\dx)$)}
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\fi
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\pgfmathparse{#2 > 2}
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\ifnum\pgfmathresult=1 \relax
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\drawParticle{bg3}{($#1+(-\dx,-\dx)$)}
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\fi
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\pgfmathparse{#2 > 1}
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\ifnum\pgfmathresult=1 \relax
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\drawParticle{bg1}{($#1+(+\dx,+\dx)$)}
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\fi
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\pgfmathparse{#2 > 0}
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\ifnum\pgfmathresult=1 \relax
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\drawParticle{bg2}{($#1+(+0.00,+0.00)$)}
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\fi
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}
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\begin{tikzpicture}[x=\unitCm cm,y=\unitCm cm, scale=\scale, transform shape]
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% \begin{scope}[shift={(0,0)}]
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% \pgfmathsetmacro{\xlen}{0.3}
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% \draw[->] (0,0) -- (\xlen,\xlen) node[anchor=south west] {$x$};
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% \draw[->] (0,0) -- (0,2*\xlen) node[anchor=south] {$z$};
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% \draw[->] (0,0) -- (2*\xlen,0) node[anchor=west] {$y$};
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% \end{scope}
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\begin{scope}[shift={(1.5,0.3)}]
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\pgfmathsetmacro\N{8} % N spins
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\pgfmathsetmacro\iMax{\N-1} % B idx
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\pgfmathsetmacro\siteDistance{1}
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\pgfmathsetmacro\labelY{1}
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\foreach \i in {0,...,\iMax} {
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\node (S\i) at (\siteDistance*\i,0) {};
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\node at ($(S\i)-(0,\labelY)$) {\i};
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}
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\node at ($(S0)-(,\labelY)$) {Site:};
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% spins
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\draw[thick] (S0) -- (S\iMax);
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\drawSite{(S0)}{5}
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\drawSite{(S1)}{2}
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\drawSite{(S2)}{3}
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\drawSite{(S3)}{4}
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\drawSite{(S4)}{0}
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\drawSite{(S5)}{5}
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\drawSite{(S6)}{1}
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\drawSite{(S7)}{3}
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% \drawSite{(S8)}{1}
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\end{scope}
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\end{tikzpicture}
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\end{document}
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233
images/src/illu_dmrg-full.tex
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233
images/src/illu_dmrg-full.tex
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\documentclass[tikz]{standalone}
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\usepackage[small]{tensorstyle}
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\begin{document}
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\def\colorTheta{bg-red}
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\def\colorHeff{bg-blue}
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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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\begin{tikzpicture}[x=\unitCm cm,y=\unitCm cm, scale=\scale, transform shape]
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\pgfmathsetmacro{\margin}{0.3}
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\pgfmathsetmacro{\scopeDistance}{1}
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\setScopeMacros{scopeA}{0}{0}{8}{2} % Heff*Theta
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\setScopeMacros{scopeB}{0}{-5}{3}{2} % Heffmat * Theta
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\setScopeMacros{scopeC}{8}{\scopeBy}{1}{2} % ThetaTwiddle
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\setScopeMacros{scopeD}{2+0.5}{\scopeCy-4}{2}{0} % SVD
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\setScopeMacros{scopeE}{-1}{\scopeDy-4}{3}{2} % L
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\setScopeMacros{scopeF}{5}{\scopeDy-4}{5}{2} % R
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% for positioning
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% \drawGrid{-1}{10}{-20}{1}
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% \pgfmathsetmacro{\dx}{0.3*\nodeDistance}
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% \pgfmathsetmacro{\dy}{0.3*\nodeDistance}
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% Heffmat
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\begin{scope}
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\pgfmathsetmacro{\N}{9}
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\pgfmathsetmacro{\iMax}{\N-1}
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\foreach \i in {0,...,\iMax} {
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\node[ten] (M\i) at (\i,0) {}; % $M^{[\the\numexpr\i+1]}$
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\node[mpo] (W\i) at (\i,-1) {}; % $W^{[\the\numexpr\i+1]}$
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\node[ten] (m\i) at (\i,-2) {}; % $m^{[\the\numexpr\i+1]}$
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}
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\foreach \i in {0,...,\iMax} {
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\pgfmathsetmacro{\j}{int(\i+1)}
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% horizontal, top bot, skip the legs for the theta tensors
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% \pgfmathparse{\i < \iMax && (\i>4 || \i<2 || \i==3) } % dont connect Heff and Theta
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\pgfmathparse{\i < \iMax}
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\ifnum\pgfmathresult=1 \relax
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\draw[leg] (M\i) -- (M\j);
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\draw[leg] (m\i) -- (m\j);
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\fi
|
||||
% horizontal middle
|
||||
\pgfmathparse{\i < \iMax}
|
||||
\ifnum\pgfmathresult=1 \relax
|
||||
\draw[leg] (W\i) -- (W\j);
|
||||
\fi
|
||||
% vertical
|
||||
% \pgfmathparse{\i>4 || \i<3} % dont connect Heff and Theta
|
||||
\pgfmathparse{1}
|
||||
\ifnum\pgfmathresult=1 \relax
|
||||
\draw[leg] (M\i) -- (W\i);
|
||||
\draw[leg] (W\i) -- (m\i);
|
||||
\fi
|
||||
}
|
||||
|
||||
% \node[draw, dashed, rounded corners=5pt, fit=(M0) (M2) (m0) (m2)] (group) {};
|
||||
\begin{scope}[on background layer]
|
||||
\draw[draw=none,fill=\colorHeff,tensorcorners]
|
||||
($(M0)+(-\tdx, \tdx)$) --
|
||||
($(M2)+( \tdx, \tdx)$) --
|
||||
($(W2)+( \tdx, \tdx)$) --
|
||||
($(W5)+(-\tdx, \tdx)$) --
|
||||
($(M5)+(-\tdx, \tdx)$) --
|
||||
($(M8)+( \tdx, \tdx)$) --
|
||||
($(m8)+( \tdx,-\tdx)$) --
|
||||
($(m5)+(-\tdx,-\tdx)$) --
|
||||
($(W5)+(-\tdx,-\tdx)$) --
|
||||
($(W2)+( \tdx,-\tdx)$) --
|
||||
($(m2)+( \tdx,-\tdx)$) --
|
||||
($(m0)+(-\tdx,-\tdx)$) --
|
||||
cycle;
|
||||
|
||||
\drawAroundRect[draw=none,fill=\colorTheta,tensorcorners]{(M3)}{1}{0}
|
||||
\drawAroundRect[draw=none,fill=\colorTheta,tensorcorners]{(m3)}{1}{0}
|
||||
\end{scope}
|
||||
|
||||
\node[anchor=south,above=0.1 of M1] (L) {$L^{[n]}$};
|
||||
\node[anchor=south,above=0.1 of M7] (R) {$R^{[n+1]}$};
|
||||
\node[anchor=south] (Theta) at ($(M3)+0.5*(M4)-0.5*(M3)+(0,0.4)$) {$\Theta$};
|
||||
\node[anchor=north] (ThetaC) at ($(m3)+0.5*(m4)-0.5*(m3)-(0,0.4)$) {$\overline{\Theta}$};
|
||||
\node[anchor=west] at (\iMax+\dLabel, 0) {$\big\}M^{[i]}$};
|
||||
\node[anchor=west] at (\iMax+\dLabel,-1) {$\big\}W$};
|
||||
\node[anchor=west] at (\iMax+\dLabel,-2) {$\big\}\overline{M}^{[i]}$};
|
||||
\end{scope}
|
||||
|
||||
\draw[->] (\scopeAx-1,\scopeAy-\scopeAh/2) -- ++(-1, 0) -- ++(0,-\scopeAy+\scopeBy) node[midway,right] {Reshape }-- ++(1, 0) ;
|
||||
|
||||
% Heff mat * Theta
|
||||
\begin{scope}[shift={(\scopeBx, \scopeBy)}]
|
||||
% "fake" points to keep the same size
|
||||
\foreach \i in {0,...,3} {
|
||||
\node[ten,draw=none] (M\i) at (\i, 0) {}; % $M^{[\the\numexpr\i+1]}$
|
||||
\node[ten,draw=none] (W\i) at (\i,-1) {}; % $W^{[\the\numexpr\i+1]}$
|
||||
\node[ten,draw=none] (m\i) at (\i,-2) {}; % $m^{[\the\numexpr\i+1]}$
|
||||
}
|
||||
\node[ten,draw,inner sep=0,tensorcorners,fit=(M0)(m2)] {};
|
||||
\node[ten,draw,inner sep=0,tensorcorners,fit=(M3)(m3)] {};
|
||||
\begin{scope}[on background layer]
|
||||
\drawAroundPoints[fill=\colorHeff,tensorcorners]{(M0)(m2)}
|
||||
\drawAroundPoints[fill=\colorTheta,tensorcorners]{(M3)(m3)}
|
||||
\end{scope}
|
||||
\draw[leg] (W2) -- (W3);
|
||||
\draw[leg] (W0) -- ++(-\legLength,0);
|
||||
\node[anchor=south] (Heff) at (1,\dLabel) {$H_\text{eff}$};
|
||||
\node[anchor=south] (Theta) at (3,\dLabel) {$\Theta$};
|
||||
\end{scope}
|
||||
|
||||
\draw[->] (\scopeBx+\scopeBw+1,\scopeBy-\scopeBh/2) -- (\scopeCx-1,\scopeBy-\scopeBh/2) node[midway,above] {Ground} node[midway,below] {state};
|
||||
|
||||
% Theta Twiddle <3
|
||||
\begin{scope}[shift={(\scopeCx, \scopeCy)}]
|
||||
\node[ten,draw=none] (M0) at (0, 0) {};
|
||||
\node[ten,draw=none] (w0) at (0,-1) {};
|
||||
\node[ten,draw=none] (m0) at (0,-2) {};
|
||||
|
||||
\node[ten,draw,inner sep=0,tensorcorners,fit=(M0)(m0)] {};
|
||||
\draw[leg] (w0) -- ++(-\legLength,0);
|
||||
|
||||
\begin{scope}[on background layer]
|
||||
\drawAroundPoints[fill=\colorTheta,tensorcorners]{(M0)(m0)}
|
||||
\end{scope}
|
||||
\node[anchor=south] at (0,\dLabel) {$\tilde{\Theta}$};
|
||||
\end{scope}
|
||||
|
||||
\draw[->] (\scopeCx+1,\scopeCy-\scopeCh/2) -- ++(1,0) -- ++(0, +\scopeDy-\scopeCy+\scopeCh/2) node[midway,right] {SVD} -- (\scopeDx+\scopeDw+1,\scopeDy);
|
||||
|
||||
|
||||
% Theta Twiddle SVD
|
||||
\def\colorATensor{bg-green}
|
||||
\def\colorLTensor{bg-yellow}
|
||||
\def\colorBTensor{bg-purple}
|
||||
\begin{scope}[shift={(\scopeDx, \scopeDy)}]
|
||||
\node[ten,fill=\colorATensor] (M0) at (0,0) {};
|
||||
\node[ten,fill=\colorLTensor] (M1) at (1,0) {};
|
||||
\node[ten,fill=\colorBTensor] (M2) at (2,0) {};
|
||||
\draw[leg] (M0) -- ++(-\legLength,0);
|
||||
\draw[leg] (M0) -- (M1);
|
||||
\draw[leg] (M1) -- (M2);
|
||||
\draw[leg] (M2) -- ++(\legLength,0);
|
||||
|
||||
\begin{scope}[on background layer]
|
||||
\drawAroundRect[draw=none,fill=\colorTheta,tensorcorners]{(0,0)}{2}{0}
|
||||
\end{scope}
|
||||
\node[anchor=south] at (1,\dLabel) {$\tilde{\Theta}$};
|
||||
\end{scope}
|
||||
|
||||
% L n+1
|
||||
\begin{scope}[shift={(\scopeEx, \scopeEy)}]
|
||||
\pgfmathsetmacro{\N}{4}
|
||||
\pgfmathsetmacro{\iMax}{\N-1}
|
||||
\foreach \i in {0,...,\iMax} {
|
||||
\node[ten] (M\i) at (\i, 0) {};
|
||||
\node[mpo] (W\i) at (\i,-1) {};
|
||||
\node[ten] (m\i) at (\i,-2) {};
|
||||
}
|
||||
\foreach \i in {0,...,\iMax} {
|
||||
\pgfmathsetmacro{\j}{int(\i+1)}
|
||||
% horizontal
|
||||
\pgfmathparse{\j < \N}
|
||||
\ifnum\pgfmathresult=1 \relax
|
||||
\draw[leg] (M\i) -- (M\j);
|
||||
\draw[leg] (W\i) -- (W\j);
|
||||
\draw[leg] (m\i) -- (m\j);
|
||||
\fi
|
||||
% vertical
|
||||
\draw[leg] (M\i) -- (W\i);
|
||||
\draw[leg] (W\i) -- (m\i);
|
||||
}
|
||||
% sticking out legs
|
||||
\draw[leg] (M3) -- ++(\legLength,0);
|
||||
\draw[leg] (W3) -- ++(\legLength,0);
|
||||
\draw[leg] (m3) -- ++(\legLength,0);
|
||||
|
||||
\node[ten,fill=\colorATensor] (M3c) at (M3) {};
|
||||
\node[ten,fill=\colorATensor] (m3c) at (m3) {};
|
||||
\begin{scope}[on background layer]
|
||||
\drawAroundRect[fill=\colorHeff,tensorcorners]{(M0)}{\iMax}{-2}
|
||||
\end{scope}
|
||||
\node[anchor=south] at (1,\dLabel) {$L^{[n+1]}$};
|
||||
\end{scope}
|
||||
|
||||
% R
|
||||
\begin{scope}[shift={(\scopeFx, \scopeFy)}]
|
||||
\pgfmathsetmacro{\N}{5}
|
||||
\pgfmathsetmacro{\iMax}{\N-1}
|
||||
\foreach \i in {0,...,\iMax} {
|
||||
\node[ten] (M\i) at (\i, 0) {};
|
||||
\node[mpo] (W\i) at (\i,-1) {};
|
||||
\node[ten] (m\i) at (\i,-2) {};
|
||||
}
|
||||
\foreach \i in {0,...,\iMax} {
|
||||
\pgfmathsetmacro{\j}{int(\i+1)}
|
||||
% horizontal
|
||||
\pgfmathparse{\j < \N}
|
||||
\ifnum\pgfmathresult=1 \relax
|
||||
\draw[leg] (M\i) -- (M\j);
|
||||
\draw[leg] (W\i) -- (W\j);
|
||||
\draw[leg] (m\i) -- (m\j);
|
||||
\fi
|
||||
% vertical
|
||||
\draw[leg] (M\i) -- (W\i);
|
||||
\draw[leg] (W\i) -- (m\i);
|
||||
}
|
||||
% sticking out legs
|
||||
\draw[leg] (M0) -- ++(-\legLength,0);
|
||||
\draw[leg] (W0) -- ++(-\legLength,0);
|
||||
\draw[leg] (m0) -- ++(-\legLength,0);
|
||||
|
||||
\node[ten,fill=\colorBTensor] (M0c) at (M0) {};
|
||||
\node[ten,fill=\colorBTensor] (m0c) at (m0) {};
|
||||
\begin{scope}[on background layer]
|
||||
\drawAroundRect[fill=\colorHeff,tensorcorners]{(M0)}{\iMax}{-2}
|
||||
\end{scope}
|
||||
\node[anchor=south] at (\iMax-1,\dLabel) {$R^{[n]}$};
|
||||
\end{scope}
|
||||
|
||||
\draw[->] (\scopeDx+\scopeDw/2,\scopeDy-1) -- (\scopeEx+\scopeEw,\scopeEy+1);
|
||||
\draw[->] (\scopeDx+\scopeDw/2,\scopeDy-1) -- (\scopeFx,\scopeFy+1) node[midway,right] {Update};
|
||||
\end{tikzpicture}
|
||||
|
||||
\end{document}
|
||||
45
images/src/illu_mps-psi.tex
Normal file
45
images/src/illu_mps-psi.tex
Normal file
@ -0,0 +1,45 @@
|
||||
\documentclass[tikz]{standalone}
|
||||
|
||||
\usepackage{tensorstyle}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\def\colorPsi{bg-red}
|
||||
\pagecolor{bg0}
|
||||
|
||||
\begin{tikzpicture}[x=\unitCm cm,y=\unitCm cm, scale=\scale, transform shape]
|
||||
% for positioning
|
||||
% \drawGrid{-1}{10}{-7}{1}
|
||||
\pgfmathsetmacro{\N}{8}
|
||||
\pgfmathsetmacro{\iMax}{\N-1}
|
||||
% Psi with Ms
|
||||
\begin{scope}[shift={(0,-1.5)}]
|
||||
\foreach \i in {0,...,\iMax} {
|
||||
\node[ten] (M\i) at (\i,0) {$M^{[\i]}$};
|
||||
\pgfmathsetmacro{\j}{int(\i-1)}
|
||||
\pgfmathparse{\j >= 0}
|
||||
\ifnum\pgfmathresult=1 \relax
|
||||
\draw[leg] (M\i) -- (M\j);
|
||||
\fi
|
||||
\draw[leg] (M\i) -- ++(0,-0.5);
|
||||
}
|
||||
% \begin{scope}[on background layer]
|
||||
% \node[fill=\colorPsi, fit=(M0)(M\iMax), inner sep=\dx cm, tensorcorners] {};
|
||||
% \end{scope}
|
||||
\end{scope}
|
||||
|
||||
% Psi
|
||||
\getNodeDimensions{M0}
|
||||
\begin{scope}[shift={(0,0)}]
|
||||
% \draw[ten] ($(0,0)-(M0.width)+(M0.height)$) rectangle ($(0,0)+(M9.width)$);
|
||||
\draw[ten] (-0.5*\nodeWidth,-0.5*\nodeHeight) rectangle ($(\iMax,0)+(0.5*\nodeWidth,0.5*\nodeHeight)$) node[midway] (psi) {$\psi$};
|
||||
\draw[leg] (psi) -- ++(0,-0.5);
|
||||
% \begin{scope}[on background layer]
|
||||
% \node[fill=\colorPsi, fit=(M0)(M\iMax), inner sep=\dx cm, tensorcorners] {};
|
||||
% \end{scope}
|
||||
\end{scope}
|
||||
|
||||
\node at (\iMax/2,-0.9) {$\approx$};
|
||||
\end{tikzpicture}
|
||||
|
||||
\end{document}
|
||||
145
images/src/illu_tebd-brickwall.tex
Normal file
145
images/src/illu_tebd-brickwall.tex
Normal file
@ -0,0 +1,145 @@
|
||||
\documentclass[tikz]{standalone}
|
||||
|
||||
\usepackage[small]{tensorstyle}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\def\colorPsi{bg-red}
|
||||
|
||||
\newcommand\setScopeMacros[5]{
|
||||
\directlua{
|
||||
tex.sprint("\\pgfmathsetmacro{\\#1x}{#2}")
|
||||
tex.sprint("\\pgfmathsetmacro{\\#1y}{#3}")
|
||||
tex.sprint("\\pgfmathsetmacro{\\#1w}{#4}")
|
||||
tex.sprint("\\pgfmathsetmacro{\\#1h}{#5}")
|
||||
}
|
||||
}
|
||||
|
||||
% 1: number of tensors
|
||||
% 2: shift in (x,y)
|
||||
% 3: prefix of input points names
|
||||
% 4: prefix of output points names
|
||||
\newcommand{\drawBrickwall}[4]{
|
||||
\begin{scope}[shift={#2}]
|
||||
\pgfmathsetmacro{\N}{#1}
|
||||
\pgfmathsetmacro{\iMax}{\N/2-1}
|
||||
% invisible tensor sized nodes
|
||||
\tikzstyle{U} = [minimum size=\tensorSize cm, rounded corners=2pt]
|
||||
\foreach \i in {0,...,\iMax} {
|
||||
\pgfmathsetmacro{\j}{int(2*\i)}
|
||||
\pgfmathsetmacro{\k}{int(2*\i+1)}
|
||||
\pgfmathsetmacro{\l}{int(2*\i-1)}
|
||||
|
||||
% Node points
|
||||
% First row
|
||||
\node[U] (#4\j-1) at (\j,0) {};
|
||||
\node[U] (#4\k-1) at (\k,0) {};
|
||||
|
||||
% Second row, use place the outpoint for the first in last tensor in the first row
|
||||
\pgfmathparse{\i==0}
|
||||
\ifnum\pgfmathresult=1 \relax
|
||||
\node[U] (#4\j) at (\j, 0) {};
|
||||
\node[U] (#4\k) at (\k,-1) {};
|
||||
\else
|
||||
\pgfmathparse{\i>=\iMax}
|
||||
\ifnum\pgfmathresult=1 \relax
|
||||
\node[U] (#4\j) at (\j,-1) {};
|
||||
\node[U] (#4\k) at (\k,0) {};
|
||||
\else
|
||||
\node[U] (#4\j) at (\j,-1) {};
|
||||
\node[U] (#4\k) at (\k,-1) {};
|
||||
\fi
|
||||
\fi
|
||||
|
||||
% first row tensor
|
||||
% workaround for getting a two-size tensor with the same height as the
|
||||
% single site node tensor
|
||||
\begingroup
|
||||
\node[draw, fit=(#4\j-1)(#4\k-1), inner sep=0, tensorcorners] {};
|
||||
\endgroup
|
||||
% connect to previous
|
||||
\ifstrempty{#3}{}{
|
||||
\draw[leg] (#3\j) -- (#4\j-1);
|
||||
\draw[leg] (#3\k) -- (#4\k-1);
|
||||
}
|
||||
|
||||
% second row tensor
|
||||
\pgfmathparse{\i>0}
|
||||
\ifnum\pgfmathresult=1 \relax
|
||||
\node[draw, fit=(#4\l)(#4\j), inner sep=0, tensorcorners] {};
|
||||
\fi
|
||||
\pgfmathparse{\i<=\iMax}
|
||||
\ifnum\pgfmathresult=1 \relax
|
||||
\draw[leg] (#4\j-1) -- (#4\j);
|
||||
\draw[leg] (#4\k-1) -- (#4\k);
|
||||
\fi
|
||||
}
|
||||
\end{scope}
|
||||
}
|
||||
|
||||
|
||||
\begin{tikzpicture}[x=\unitCm cm,y=\unitCm cm, scale=\scale, transform shape]
|
||||
% for positioning
|
||||
% \drawGrid{-1}{10}{-20}{1}
|
||||
\pgfmathsetmacro{\N}{10}
|
||||
\pgfmathsetmacro{\iMax}{\N-1}
|
||||
% Heffmat
|
||||
\begin{scope}[shift={(0,0)}]
|
||||
% Psi
|
||||
\foreach \i in {0,...,\iMax} {
|
||||
\node[ten] (M\i) at (\i,0) {};
|
||||
\pgfmathsetmacro{\j}{int(\i-1)}
|
||||
\pgfmathparse{\j >= 0}
|
||||
\ifnum\pgfmathresult=1 \relax
|
||||
\draw[leg] (M\i) -- (M\j);
|
||||
\fi
|
||||
}
|
||||
\begin{scope}[on background layer]
|
||||
\drawAroundRect[draw=none, fill=\colorPsi,tensorcorners]{(M0)}{\iMax}{0}
|
||||
\end{scope}
|
||||
% \node[anchor=west] at (\iMax+\dLabel, 0) {$\big\}M^{[i]}$};
|
||||
\node[anchor=west] at (\iMax+\dLabel, 0) {$\psi(t=0)$};
|
||||
\end{scope}
|
||||
\drawBrickwall{\N}{(0,-1)}{M}{U1}
|
||||
\drawBrickwall{\N}{(0,-3)}{U1}{U2}
|
||||
\drawBrickwall{\N}{(0,-7)}{}{U3}
|
||||
\begin{scope}[on background layer]
|
||||
\drawAroundRect[draw=none,fill=bg2,tensorcorners]{(U10-1)}{\N-1}{-1}
|
||||
\drawAroundRect[draw=none,fill=bg2,tensorcorners]{(U20-1)}{\N-1}{-1}
|
||||
\drawAroundRect[draw=none,fill=bg2,tensorcorners]{(U30-1)}{\N-1}{-1}
|
||||
% \drawAroundPoints[U]{(#4\j-1)(#4\k-1)}
|
||||
\end{scope}
|
||||
\node[anchor=west] at (\iMax+\dLabel, -1.5) {$n = 1$};
|
||||
\node[anchor=west] at (\iMax+\dLabel, -3.5) {$n = 2$};
|
||||
\node[anchor=west] at (\iMax+\dLabel, -7.5) {$n = n_\text{steps}$};
|
||||
|
||||
% connect dashed
|
||||
\foreach \i in {0,...,\iMax} {
|
||||
\draw[leg] (U2\i) -- (\i,-5);
|
||||
\draw[leg,dotted] (\i,-5) -- (\i,-6);
|
||||
\draw[leg] (\i,-6) -- (U3\i-1);
|
||||
}
|
||||
|
||||
\begin{scope}[shift={(0,-9)}]
|
||||
% PsiTilde
|
||||
\foreach \i in {0,...,\iMax} {
|
||||
\node[ten] (m\i) at (\i,0) {};
|
||||
\pgfmathsetmacro{\j}{int(\i-1)}
|
||||
\pgfmathparse{\j >= 0}
|
||||
\ifnum\pgfmathresult=1 \relax
|
||||
\draw[leg] (m\i) -- (m\j);
|
||||
\fi
|
||||
% leg to Us
|
||||
\draw[leg] (U3\i) -- (m\i);
|
||||
}
|
||||
\begin{scope}[on background layer]
|
||||
\drawAroundRect[draw=none,fill=\colorPsi,tensorcorners]{(m0)}{\iMax}{0}
|
||||
\end{scope}
|
||||
% \node[anchor=west] at (\iMax+\dLabel, 0) {$\big\}\tilde{M}^{[i]}$};
|
||||
\node[anchor=west] at (\iMax+\dLabel, 0) {${\psi}(t=n_\text{steps}\delta t)$};
|
||||
\end{scope}
|
||||
|
||||
% \node[draw, dashed, rounded corners=5pt, fit=(M0) (M2) (m0) (m2)] (group) {};
|
||||
\end{tikzpicture}
|
||||
|
||||
\end{document}
|
||||
49
images/src/illu_tfi.tex
Normal file
49
images/src/illu_tfi.tex
Normal file
@ -0,0 +1,49 @@
|
||||
\documentclass[tikz]{standalone}
|
||||
|
||||
\usepackage{tensorstyle}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\newcommand\drawSpin[2]{
|
||||
\pgfmathsetmacro\spinLength{0.8}
|
||||
\draw[fill] #1 circle (0.1);
|
||||
\draw[thick,->, rotate around={#2:#1},shift={(0,-0.5*\spinLength)}] #1 -- ++(0,\spinLength);
|
||||
}
|
||||
|
||||
|
||||
\begin{tikzpicture}[x=\unitCm cm,y=\unitCm cm, scale=\scale, transform shape]
|
||||
\begin{scope}[shift={(0,0)}]
|
||||
\pgfmathsetmacro{\xlen}{0.3}
|
||||
\draw[->] (0,0) -- (\xlen,\xlen) node[anchor=south west] {$x$};
|
||||
\draw[->] (0,0) -- (0,2*\xlen) node[anchor=south] {$z$};
|
||||
\draw[->] (0,0) -- (2*\xlen,0) node[anchor=west] {$y$};
|
||||
\end{scope}
|
||||
|
||||
\begin{scope}[shift={(1.5,0.3)}]
|
||||
\edef\BColor{fg2}
|
||||
\pgfmathsetmacro\BLength{1.5}
|
||||
\pgfmathsetmacro\Bdistance{0.25}
|
||||
\pgfmathsetmacro\N{8} % N spins
|
||||
\pgfmathsetmacro\NB{2*\N-2} % B idx
|
||||
\foreach \i in {0,...,\NB} {
|
||||
\node (B\i) at (\Bdistance*\i,0) {};
|
||||
\draw[->,draw=\BColor,rotate around={-45:(B\i)}] ($(B\i)+(0,-0.5*\BLength)$) -- ++(0,\BLength);
|
||||
}
|
||||
\node[color=\BColor] at (\N/4-3/4,-0.8) {$\vec{B}$};
|
||||
% spins
|
||||
\draw[thick] (0,0) -- (3.5,0);
|
||||
\drawSpin{(0,0)}{0}
|
||||
\drawSpin{(0.5,0)}{-5}
|
||||
\drawSpin{(1.0,0)}{10}
|
||||
\drawSpin{(1.5,0)}{0}
|
||||
\drawSpin{(2.0,0)}{-24}
|
||||
\drawSpin{(2.5,0)}{-13}
|
||||
\drawSpin{(3.0,0)}{8}
|
||||
\drawSpin{(3.5,0)}{3}
|
||||
\end{scope}
|
||||
|
||||
|
||||
\end{tikzpicture}
|
||||
|
||||
\end{document}
|
||||
|
||||
119
images/src/tensorstyle.sty
Normal file
119
images/src/tensorstyle.sty
Normal file
@ -0,0 +1,119 @@
|
||||
\ProvidesPackage{tensorstyle}
|
||||
\NeedsTeXFormat{LaTeX2e}
|
||||
|
||||
\def\tensorsize@default{large}
|
||||
|
||||
\DeclareOption{small}{
|
||||
\def\tensorsize@small{small}
|
||||
}
|
||||
\ProcessOptions\relax
|
||||
|
||||
% --------------------------------------------------
|
||||
|
||||
\ifdefined\tensorsize@small
|
||||
\pgfmathsetmacro\unitCm{0.6}
|
||||
\pgfmathsetmacro\nodeDistance{0.5}
|
||||
\else
|
||||
\pgfmathsetmacro\unitCm{1.0}
|
||||
\pgfmathsetmacro\nodeDistance{0.5}
|
||||
\fi
|
||||
|
||||
\edef\scale{1.2}
|
||||
|
||||
\RequirePackage{etoolbox}
|
||||
\RequirePackage{amsmath}
|
||||
|
||||
\RequirePackage{tikz}
|
||||
\usetikzlibrary{shapes,fit,positioning}
|
||||
\usetikzlibrary{calc}
|
||||
\usetikzlibrary{backgrounds}
|
||||
|
||||
\RequirePackage{colorscheme}
|
||||
|
||||
|
||||
\pagecolor{bg1} \color{fg0}
|
||||
|
||||
|
||||
% distance of above/right... of
|
||||
\tikzset{
|
||||
node distance=\nodeDistance cm
|
||||
}
|
||||
|
||||
|
||||
|
||||
\newcommand{\setTikzStyles}{
|
||||
\pgfmathsetmacro\tensorSize{\unitCm * 0.5}
|
||||
% Define styles for tensors, Schmidt values, and legs
|
||||
\tikzstyle{ten} = [draw, rectangle, minimum size=\tensorSize cm, rounded corners=2pt]
|
||||
\tikzstyle{mpo} = [draw, rectangle, minimum size=\tensorSize cm]
|
||||
\tikzstyle{val} = [draw, circle, minimum size=\tensorSize cm]
|
||||
\tikzstyle{tensorcorners} = [rounded corners=2pt]
|
||||
\tikzstyle{leg} = []
|
||||
|
||||
\pgfmathsetmacro\dx{0.08}
|
||||
\pgfmathsetmacro\dy{0.08}
|
||||
% tensor + dx
|
||||
\pgfmathsetmacro\tdx{\tensorSize+\dx}
|
||||
\pgfmathsetmacro\dLabel{0.6 * \unitCm}
|
||||
% length of free legs
|
||||
\pgfmathsetmacro\legLength{0.6}
|
||||
}
|
||||
|
||||
% Define a combined style for labeled small tensors
|
||||
% \newcommand{\smalltensor}[3]{
|
||||
% \node[tensor_small] (#1) at (#2) {};
|
||||
% \node[above=1pt of #1] {#3};
|
||||
% }
|
||||
|
||||
% Draw a grid with numbers, for easily positioning things
|
||||
\newcommand\drawGrid[4]{
|
||||
\pgfmathsetmacro{\xMin}{#1}%
|
||||
\pgfmathsetmacro{\xMax}{#2}%
|
||||
\pgfmathsetmacro{\yMin}{#3}%
|
||||
\pgfmathsetmacro{\yMax}{#4}%
|
||||
\foreach \i in {\xMin,...,\xMax} {
|
||||
\draw [very thin,gray] (\i,\yMin) -- (\i,\yMax) node [below] at (\i,\yMin) {$\i$};
|
||||
}
|
||||
\foreach \i in {\yMin,...,\yMax} {
|
||||
\draw [very thin,gray] (\xMin,\i) -- (\xMax,\i) node [left] at (\xMin,\i) {$\i$};
|
||||
}
|
||||
}
|
||||
|
||||
% Draw around 4 points
|
||||
% [1]: draw options
|
||||
% 2: nodes to contain, eg (M1)(M2)
|
||||
\newcommand\drawAroundPoints[2][]{
|
||||
\node[#1, fit=#2, inner sep=\dx cm] {};
|
||||
}
|
||||
|
||||
|
||||
% Draw around 4 points
|
||||
% [1]: draw options
|
||||
% 2: (x,y)
|
||||
% 3: w
|
||||
% 4: h
|
||||
\newcommand\drawAroundRect[4][]{
|
||||
\draw[#1]
|
||||
($#2+( 0, 0)+(-\tdx, \tdx)$) --
|
||||
($#2+(#3, 0)+( \tdx, \tdx)$) --
|
||||
($#2+(#3,#4)+( \tdx,-\tdx)$) --
|
||||
($#2+( 0,#4)+(-\tdx,-\tdx)$) --
|
||||
cycle;
|
||||
}
|
||||
|
||||
|
||||
\newcommand\getNodeDimensions[1]{
|
||||
\pgfpointanchor{#1}{east}
|
||||
\pgfgetlastxy{\eastX}{\eastY}
|
||||
\pgfpointanchor{#1}{west}
|
||||
\pgfgetlastxy{\westX}{\westY}
|
||||
\pgfpointanchor{#1}{north}
|
||||
\pgfgetlastxy{\northX}{\northY}
|
||||
\pgfpointanchor{#1}{south}
|
||||
\pgfgetlastxy{\southX}{\southY}
|
||||
|
||||
\pgfmathsetlengthmacro{\nodeWidth}{\eastX - \westX}
|
||||
\pgfmathsetlengthmacro{\nodeHeight}{\northY - \southY}
|
||||
}
|
||||
|
||||
\setTikzStyles
|
||||
Loading…
x
Reference in New Issue
Block a user