From ac6feedba40b758f232a29a753438fcabfc54c05 Mon Sep 17 00:00:00 2001 From: "matthias@quintern.xyz" Date: Sun, 9 Mar 2025 22:00:34 +0100 Subject: [PATCH] Add images for website --- images/Makefile | 61 ++++++++ images/src/.old/dmrg-Heff-mat.tex | 56 +++++++ images/src/.old/dmrg-Heff.tex | 83 ++++++++++ images/src/.old/dmrg.tex | 28 ++++ images/src/colorscheme.sty | 29 ++++ images/src/illu_bose-hubbard.tex | 79 ++++++++++ images/src/illu_dmrg-full.tex | 233 +++++++++++++++++++++++++++++ images/src/illu_mps-psi.tex | 45 ++++++ images/src/illu_tebd-brickwall.tex | 145 ++++++++++++++++++ images/src/illu_tfi.tex | 49 ++++++ images/src/tensorstyle.sty | 119 +++++++++++++++ 11 files changed, 927 insertions(+) create mode 100644 images/Makefile create mode 100644 images/src/.old/dmrg-Heff-mat.tex create mode 100644 images/src/.old/dmrg-Heff.tex create mode 100644 images/src/.old/dmrg.tex create mode 100644 images/src/colorscheme.sty create mode 100644 images/src/illu_bose-hubbard.tex create mode 100644 images/src/illu_dmrg-full.tex create mode 100644 images/src/illu_mps-psi.tex create mode 100644 images/src/illu_tebd-brickwall.tex create mode 100644 images/src/illu_tfi.tex create mode 100644 images/src/tensorstyle.sty diff --git a/images/Makefile b/images/Makefile new file mode 100644 index 0000000..3b525f1 --- /dev/null +++ b/images/Makefile @@ -0,0 +1,61 @@ +# Matthias Quintern 2025 +# Compile image (tex) to pdf, +# convert to svg in tmp dir +# and then replace all color occurances with css class names +SRC_DIR = src +PDF_DIR = out +TMP_DIR = /tmp/latex-img +SVG_DIR = svg + +WDIR = $(shell pwd) + +DIRS = $(SRC_DIR) $(PDF_DIR) $(TMP_DIR) $(SVG_DIR) + +LATEX = lualatex +BIBER = biber +REPL_COLORS = python3 repl-colors.py + +DEPS = $(SRC_DIR)/colorscheme.sty $(SRC_DIR)/tensorstyle.sty +SRC_FLS = $(wildcard $(SRC_DIR)/*.tex) +SRC_FLS_= $(notdir $(SRC_FLS)) +PDF_FLS = $(SRC_FLS_:%.tex=$(PDF_DIR)/%.pdf) +TMP_FLS = $(SRC_FLS_:%.tex=$(TMP_DIR)/%.svg) +SVG_FLS = $(SRC_FLS_:%.tex=$(SVG_DIR)/%.svg) +# PDF_FLS = $(foreach file,$(notdir $(SRC_FLS)), $(PDF_DIR)/$(file)) +# TMP_FLS = $(foreach file,$(notdir $(SRC_FLS)), $(TMP_DIR)/$(file)) +# SVG_FLS = $(foreach file,$(notdir $(SRC_FLS)), $(SVG_DIR)/$(file)) + +LATEX_OPTS := -output-directory=$(WDIR)/$(PDF_DIR) -interaction=nonstopmode -shell-escape + +.PHONY: default release clean scripts + +default: $(SVG_FLS) + +allpdf: $(PDF_FLS) +allsvg: $(SVG_FLS) + +$(DIRS): + mkdir -p $@ + +# Default target +$(PDF_DIR)/%.pdf: $(SRC_DIR)/%.tex $(DEPS) | $(PDF_DIR) + cd $(SRC_DIR) && lualatex $(LATEX_OPTS) $(notdir $<) + +$(TMP_DIR)/%.svg: $(PDF_DIR)/%.pdf | $(TMP_DIR) + inkscape --export-filename=$@ $< +# pdf2svg $< $@ + +$(SVG_DIR)/%.svg: $(TMP_DIR)/%.svg | $(SVG_DIR) + $(REPL_COLORS) --input $< --output $@ + +clean: + rm -r $(SVG_FLS) $(TMP_DIR) $(PDF_DIR) + +print: + @echo '$(notdir $(SRC_FLS))' + @echo '$(PDF_FLS)' + @echo '$(TMP_FLS)' + @echo '$(SVG_FLS)' + +.PHONY: all clean allpdf allsvg print + diff --git a/images/src/.old/dmrg-Heff-mat.tex b/images/src/.old/dmrg-Heff-mat.tex new file mode 100644 index 0000000..fb84c8b --- /dev/null +++ b/images/src/.old/dmrg-Heff-mat.tex @@ -0,0 +1,56 @@ +\documentclass[tikz]{standalone} +\usepackage{amsmath} +\usetikzlibrary{calc} +\usetikzlibrary{backgrounds} + +\input{.common.tex} + +\begin{document} + + +\begin{tikzpicture}[x=0.4cm,y=0.4cm] + \node (M0) at (0,0) {}; + \node[below=of M0] (W0) {}; + \node[below=of W0] (m0) {}; + \foreach \i in {0,...,2} { + \pgfmathsetmacro{\j}{int(\i+1)} + \node[right=of M\i] (M\j) {}; % $M^{[\the\numexpr\i+1]}$ + \node[right=of W\i] (W\j) {}; % $W^{[\the\numexpr\i+1]}$ + \node[right=of m\i] (m\j) {}; % $m^{[\the\numexpr\i+1]}$ + % horizontal + } + % \pgfmathsetmacro{\dx}{0.3*\nodeDistance} + % \pgfmathsetmacro{\dy}{0.3*\nodeDistance} + \def\dx{0.4} + \def\dy{0.4} + + % \node[draw, dashed, rounded corners=5pt, fit=(M0) (M2) (m0) (m2)] (group) {}; + \begin{scope}[on background layer] + \draw[fill=\colorHeff,rounded corners=2] + ($(M0)+(-\dx, \dy)$) -- + ($(M2)+( \dx, \dy)$) -- + ($(m2)+( \dx,-\dy)$) -- + ($(m0)+(-\dx,-\dy)$) -- + cycle; + + \draw[fill=\colorTheta,rounded corners=2pt] + ($(M3)+(-\dx, \dy)$) -- + ($(M3)+( \dx, \dy)$) -- + ($(m3)+( \dx,-\dy)$) -- + ($(m3)+(-\dx,-\dy)$) -- + cycle; + + % \draw[fill=\colorTheta,rounded corners=2pt] + % ($(M3)+(-\dx, \dy)$) -- + % ($(M3)+( \dx, \dy)$) -- + % ($(m3)+( \dx,-\dy)$) -- + % ($(m3)+(-\dx,-\dy)$) -- + % cycle; + \end{scope} + % \draw node[above left=of M0] {} -- node[above right=of M2] {} -- node[above right=of W2] {}; + + \node[above=0.1 of M1] (Heff) {$H_\text{eff}$}; + \node[above=0.1 of M3] (Theta) {$\Theta$}; +\end{tikzpicture} + +\end{document} diff --git a/images/src/.old/dmrg-Heff.tex b/images/src/.old/dmrg-Heff.tex new file mode 100644 index 0000000..f758038 --- /dev/null +++ b/images/src/.old/dmrg-Heff.tex @@ -0,0 +1,83 @@ +\documentclass[tikz]{standalone} +\usepackage{amsmath} +\usetikzlibrary{calc} +\usetikzlibrary{backgrounds} + +\input{.common.tex} + +% Heff with Theta and Theta* + +\begin{document} + + +\begin{tikzpicture}[x=0.5cm,y=0.5cm] + \node[ten] (M0) at (0,0) {}; + \node[mpo,below=of M0] (W0) {}; + \node[ten,below=of W0] (m0) {}; + \draw[leg] (M0) -- (W0); + \draw[leg] (W0) -- (m0); + \pgfmathsetmacro{\N}{9} + \pgfmathsetmacro{\iMax}{\N-2} + \foreach \i in {0,...,\iMax} { + \pgfmathsetmacro{\j}{int(\i+1)} + \node[ten, right=of M\i] (M\j) {}; % $M^{[\the\numexpr\i+1]}$ + \node[mpo, right=of W\i] (W\j) {}; % $W^{[\the\numexpr\i+1]}$ + \node[ten, right=of m\i] (m\j) {}; % $m^{[\the\numexpr\i+1]}$ + % horizontal + \pgfmathparse{\j>5 || \j<3 || \j==4} + \ifnum\pgfmathresult=1 \relax + \draw[leg] (M\i) -- (M\j); + \draw[leg] (m\i) -- (m\j); + \fi + \draw[leg] (W\i) -- (W\j); + % vertical + \pgfmathparse{\j>4 || \j<3} + \ifnum\pgfmathresult=1 \relax + \draw[leg] (M\j) -- (W\j); + \draw[leg] (W\j) -- (m\j); + \fi + } + % \pgfmathsetmacro{\dx}{0.3*\nodeDistance} + % \pgfmathsetmacro{\dy}{0.3*\nodeDistance} + \def\dx{0.4} + \def\dy{0.4} + + % \node[draw, dashed, rounded corners=5pt, fit=(M0) (M2) (m0) (m2)] (group) {}; + \begin{scope}[on background layer] + \draw[fill=\colorHeff,rounded corners=2] + ($(M0)+(-\dx, \dy)$) -- + ($(M2)+( \dx, \dy)$) -- + ($(W2)+( \dx, \dy)$) -- + ($(W5)+(-\dx, \dy)$) -- + ($(M5)+(-\dx, \dy)$) -- + ($(M8)+( \dx, \dy)$) -- + ($(m8)+( \dx,-\dy)$) -- + ($(m5)+(-\dx,-\dy)$) -- + ($(W5)+(-\dx,-\dy)$) -- + ($(W2)+( \dx,-\dy)$) -- + ($(m2)+( \dx,-\dy)$) -- + ($(m0)+(-\dx,-\dy)$) -- + cycle; + + \draw[fill=\colorTheta,rounded corners=2pt] + ($(M3)+(-\dx, \dy)$) -- + ($(M4)+( \dx, \dy)$) -- + ($(M4)+( \dx,-\dy)$) -- + ($(M3)+(-\dx,-\dy)$) -- + cycle; + \draw[fill=\colorTheta,rounded corners=2pt] + ($(m3)+(-\dx, \dy)$) -- + ($(m4)+( \dx, \dy)$) -- + ($(m4)+( \dx,-\dy)$) -- + ($(m3)+(-\dx,-\dy)$) -- + cycle; + \end{scope} + % \draw node[above left=of M0] {} -- node[above right=of M2] {} -- node[above right=of W2] {}; + + % \node[left=of W0] (Heff) {$H_\text{eff}$ = }; + \node[anchor=south,above=0.1 of M1] (Heff) {$H_\text{eff}$}; + \node[anchor=south] (Theta) at ($(M3)+0.5*(M4)-0.5*(M3)+(0,0.4)$) {$\Theta$}; + \node[anchor=north] (ThetaC) at ($(m3)+0.5*(m4)-0.5*(m3)-(0,0.4)$) {$\overline{\Theta}$}; +\end{tikzpicture} + +\end{document} diff --git a/images/src/.old/dmrg.tex b/images/src/.old/dmrg.tex new file mode 100644 index 0000000..d9a1d58 --- /dev/null +++ b/images/src/.old/dmrg.tex @@ -0,0 +1,28 @@ +\documentclass[tikz]{standalone} + +\input{.common.tex} + +\begin{document} + +\begin{tikzpicture} + \node[ten] (M0) at (0,0) {}; + \node[mpo,below=of M0] (W0) {}; + \node[ten,below=of W0] (m0) {}; + \draw[leg] (M0) -- (W0); + \draw[leg] (W0) -- (m0); + \foreach \i in {0,...,6} { + \pgfmathsetmacro{\j}{int(\i+1)} + \node[ten, right=of M\i] (M\j) {}; % $M^{[\the\numexpr\i+1]}$ + \node[mpo, right=of W\i] (W\j) {}; % $W^{[\the\numexpr\i+1]}$ + \node[ten, right=of m\i] (m\j) {}; % $m^{[\the\numexpr\i+1]}$ + % horizontal + \draw[leg] (M\i) -- (M\j); + \draw[leg] (W\i) -- (W\j); + \draw[leg] (m\i) -- (m\j); + % vertical + \draw[leg] (M\j) -- (W\j); + \draw[leg] (W\j) -- (m\j); + } +\end{tikzpicture} + +\end{document} diff --git a/images/src/colorscheme.sty b/images/src/colorscheme.sty new file mode 100644 index 0000000..9464fa6 --- /dev/null +++ b/images/src/colorscheme.sty @@ -0,0 +1,29 @@ +\ProvidesPackage{colorscheme} +\RequirePackage{xcolor} + +\definecolor{fg0}{HTML}{1d2021} +\definecolor{bg0}{HTML}{f9f5d7} +\definecolor{fg1}{HTML}{3c3836} +\definecolor{fg2}{HTML}{504945} +\definecolor{fg3}{HTML}{665c54} +\definecolor{fg4}{HTML}{7c6f64} +\definecolor{bg1}{HTML}{ebdbb2} +\definecolor{bg2}{HTML}{d5c4a1} +\definecolor{bg3}{HTML}{bdae93} +\definecolor{bg4}{HTML}{a89984} +\definecolor{fg-red}{HTML}{9d0006} +\definecolor{fg-orange}{HTML}{af3a03} +\definecolor{fg-yellow}{HTML}{b57614} +\definecolor{fg-green}{HTML}{79740e} +\definecolor{fg-aqua}{HTML}{427b58} +\definecolor{fg-blue}{HTML}{076678} +\definecolor{fg-purple}{HTML}{8f3f71} +\definecolor{fg-gray}{HTML}{7c6f64} +\definecolor{bg-red}{HTML}{795040} +\definecolor{bg-orange}{HTML}{775b3a} +\definecolor{bg-yellow}{HTML}{78683f} +\definecolor{bg-green}{HTML}{6b673d} +\definecolor{bg-aqua}{HTML}{63684e} +\definecolor{bg-blue}{HTML}{616354} +\definecolor{bg-purple}{HTML}{715c54} +\definecolor{bg-gray}{HTML}{686050} diff --git a/images/src/illu_bose-hubbard.tex b/images/src/illu_bose-hubbard.tex new file mode 100644 index 0000000..d02989a --- /dev/null +++ b/images/src/illu_bose-hubbard.tex @@ -0,0 +1,79 @@ +\documentclass[tikz]{standalone} + +\usepackage{tensorstyle} + +\begin{document} + +% 1: color +% 2: pos +\newcommand\drawParticle[2]{ + \draw[fill=#1] #2 circle (0.15); +} +% 1: pos +% 2: n particles +\newcommand\drawSite[2]{ + \pgfmathsetmacro\dx{0.06} + \pgfmathparse{#2 > 5} + \ifnum\pgfmathresult=1 \relax + \drawParticle{bg4}{($#1+(+\dx,-\dx)$)} + \fi + \pgfmathparse{#2 > 4} + \ifnum\pgfmathresult=1 \relax + \drawParticle{bg3}{($#1+(+\dx,-\dx)$)} + \fi + \pgfmathparse{#2 > 3} + \ifnum\pgfmathresult=1 \relax + \drawParticle{bg2}{($#1+(-\dx,+\dx)$)} + \fi + \pgfmathparse{#2 > 2} + \ifnum\pgfmathresult=1 \relax + \drawParticle{bg3}{($#1+(-\dx,-\dx)$)} + \fi + \pgfmathparse{#2 > 1} + \ifnum\pgfmathresult=1 \relax + \drawParticle{bg1}{($#1+(+\dx,+\dx)$)} + \fi + \pgfmathparse{#2 > 0} + \ifnum\pgfmathresult=1 \relax + \drawParticle{bg2}{($#1+(+0.00,+0.00)$)} + \fi +} + + +\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)}] + \pgfmathsetmacro\N{8} % N spins + \pgfmathsetmacro\iMax{\N-1} % B idx + \pgfmathsetmacro\siteDistance{1} + \pgfmathsetmacro\labelY{1} + \foreach \i in {0,...,\iMax} { + \node (S\i) at (\siteDistance*\i,0) {}; + \node at ($(S\i)-(0,\labelY)$) {\i}; + } + \node at ($(S0)-(,\labelY)$) {Site:}; + % spins + \draw[thick] (S0) -- (S\iMax); + \drawSite{(S0)}{5} + \drawSite{(S1)}{2} + \drawSite{(S2)}{3} + \drawSite{(S3)}{4} + \drawSite{(S4)}{0} + \drawSite{(S5)}{5} + \drawSite{(S6)}{1} + \drawSite{(S7)}{3} + % \drawSite{(S8)}{1} + \end{scope} + + +\end{tikzpicture} + +\end{document} + + diff --git a/images/src/illu_dmrg-full.tex b/images/src/illu_dmrg-full.tex new file mode 100644 index 0000000..845a242 --- /dev/null +++ b/images/src/illu_dmrg-full.tex @@ -0,0 +1,233 @@ +\documentclass[tikz]{standalone} + +\usepackage[small]{tensorstyle} + +\begin{document} + +\def\colorTheta{bg-red} +\def\colorHeff{bg-blue} + +\newcommand\setScopeMacros[5]{ + \directlua{ + tex.sprint("\\pgfmathsetmacro{\\#1x}{#2}") + tex.sprint("\\pgfmathsetmacro{\\#1y}{#3}") + tex.sprint("\\pgfmathsetmacro{\\#1w}{#4}") + tex.sprint("\\pgfmathsetmacro{\\#1h}{#5}") + } +} + + + +\begin{tikzpicture}[x=\unitCm cm,y=\unitCm cm, scale=\scale, transform shape] + \pgfmathsetmacro{\margin}{0.3} + \pgfmathsetmacro{\scopeDistance}{1} + \setScopeMacros{scopeA}{0}{0}{8}{2} % Heff*Theta + \setScopeMacros{scopeB}{0}{-5}{3}{2} % Heffmat * Theta + \setScopeMacros{scopeC}{8}{\scopeBy}{1}{2} % ThetaTwiddle + \setScopeMacros{scopeD}{2+0.5}{\scopeCy-4}{2}{0} % SVD + \setScopeMacros{scopeE}{-1}{\scopeDy-4}{3}{2} % L + \setScopeMacros{scopeF}{5}{\scopeDy-4}{5}{2} % R + % for positioning + % \drawGrid{-1}{10}{-20}{1} + + % \pgfmathsetmacro{\dx}{0.3*\nodeDistance} + % \pgfmathsetmacro{\dy}{0.3*\nodeDistance} + % Heffmat + \begin{scope} + \pgfmathsetmacro{\N}{9} + \pgfmathsetmacro{\iMax}{\N-1} + \foreach \i in {0,...,\iMax} { + \node[ten] (M\i) at (\i,0) {}; % $M^{[\the\numexpr\i+1]}$ + \node[mpo] (W\i) at (\i,-1) {}; % $W^{[\the\numexpr\i+1]}$ + \node[ten] (m\i) at (\i,-2) {}; % $m^{[\the\numexpr\i+1]}$ + } + \foreach \i in {0,...,\iMax} { + \pgfmathsetmacro{\j}{int(\i+1)} + % horizontal, top bot, skip the legs for the theta tensors + + % \pgfmathparse{\i < \iMax && (\i>4 || \i<2 || \i==3) } % dont connect Heff and Theta + \pgfmathparse{\i < \iMax} + \ifnum\pgfmathresult=1 \relax + \draw[leg] (M\i) -- (M\j); + \draw[leg] (m\i) -- (m\j); + \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} diff --git a/images/src/illu_mps-psi.tex b/images/src/illu_mps-psi.tex new file mode 100644 index 0000000..4cacfa2 --- /dev/null +++ b/images/src/illu_mps-psi.tex @@ -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} diff --git a/images/src/illu_tebd-brickwall.tex b/images/src/illu_tebd-brickwall.tex new file mode 100644 index 0000000..4bb976b --- /dev/null +++ b/images/src/illu_tebd-brickwall.tex @@ -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} diff --git a/images/src/illu_tfi.tex b/images/src/illu_tfi.tex new file mode 100644 index 0000000..046dbc9 --- /dev/null +++ b/images/src/illu_tfi.tex @@ -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} + diff --git a/images/src/tensorstyle.sty b/images/src/tensorstyle.sty new file mode 100644 index 0000000..8a01f52 --- /dev/null +++ b/images/src/tensorstyle.sty @@ -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