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{"documenter":{"julia_version":"1.9.4","generation_timestamp":"2023-12-26T21:54:31","documenter_version":"1.2.1"}}
{"documenter":{"julia_version":"1.9.4","generation_timestamp":"2023-12-26T22:02:55","documenter_version":"1.2.1"}}
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<!DOCTYPE html>
<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Dealing with Fermions · TeNLib.jl</title><meta name="title" content="Dealing with Fermions · TeNLib.jl"/><meta property="og:title" content="Dealing with Fermions · TeNLib.jl"/><meta property="twitter:title" content="Dealing with Fermions · TeNLib.jl"/><meta name="description" content="A Tensor Network Library (TeNLib.jl) built on top of ITensors.jl for quantum many-body problems."/><meta property="og:description" content="A Tensor Network Library (TeNLib.jl) built on top of ITensors.jl for quantum many-body problems."/><meta property="twitter:description" content="A Tensor Network Library (TeNLib.jl) built on top of ITensors.jl for quantum many-body problems."/><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.050/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.4.2/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.4.2/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.4.2/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../search_index.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script><link href="../../assets/favicon.ico" rel="icon" type="image/x-icon"/></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../"><img class="docs-light-only" src="../../assets/logo.png" alt="TeNLib.jl logo"/><img class="docs-dark-only" src="../../assets/logo-dark.png" alt="TeNLib.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../">TeNLib.jl</a></span></div><button class="docs-search-query input is-rounded is-small is-clickable my-2 mx-auto py-1 px-2" id="documenter-search-query">Search docs (Ctrl + /)</button><ul class="docs-menu"><li><a class="tocitem" href="../../">Introduction</a></li><li><span class="tocitem">Base functionalities</span><ul><li><a class="tocitem" href="../global/">Controlling global behaviors</a></li><li class="is-active"><a class="tocitem" href>Dealing with Fermions</a></li><li><a class="tocitem" href="../opstrings/">OpStrings</a></li><li><a class="tocitem" href="../couplingmodel/">CouplingModel</a></li><li><a class="tocitem" href="../solver/">Solvers</a></li><li><a class="tocitem" href="../graph/">The Graph object</a></li><li><a class="tocitem" href="../misc/">Miscellaneous typedefs and functions</a></li></ul></li><li><span class="tocitem">MPS based methods</span><ul><li><a class="tocitem" href="../../mps/state_envs/">StateEnvs</a></li><li><a class="tocitem" href="../../mps/update_site/">Perform local updates</a></li><li><a class="tocitem" href="../../mps/sweep/">Sweeping through the MPS</a></li><li><a class="tocitem" href="../../mps/dmrg/">Performing DMRG</a></li><li><a class="tocitem" href="../../mps/example_dmrg/">Example: DMRG</a></li><li><a class="tocitem" href="../../mps/tdvp/">Performing TDVP</a></li><li><a class="tocitem" href="../../mps/example_tdvp/">Example: TDVP</a></li><li><a class="tocitem" href="../../mps/measure/">Measuring the MPS</a></li></ul></li><li><span class="tocitem">TTN based methods</span><ul><li><a class="tocitem" href="../../ttn/ttn/">Tree Tensor Networks</a></li><li><a class="tocitem" href="../../ttn/ttn_struct/">The TTN object</a></li><li><a class="tocitem" href="../../ttn/ttn_gen/">Generating TTN</a></li><li><a class="tocitem" href="../../ttn/state_envs_ttn/">StateEnvsTTN</a></li><li><a class="tocitem" href="../../ttn/update_site_ttn/">Perform local updates</a></li><li><a class="tocitem" href="../../ttn/sweep_ttn/">Sweeping through the TTN</a></li><li><a class="tocitem" href="../../ttn/optimize_ttn/">Optimizing TTN</a></li><li><a class="tocitem" href="../../ttn/example_optimize/">Example: Optimizing TTN</a></li><li><a class="tocitem" href="../../ttn/measure_ttn/">Measuring the TTN</a></li></ul></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><a class="docs-sidebar-button docs-navbar-link fa-solid fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">Base functionalities</a></li><li class="is-active"><a href>Dealing with Fermions</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Dealing with Fermions</a></li></ul></nav><div class="docs-right"><a class="docs-navbar-link" href="https://github.com/titaschanda/TeNLib.jl" title="View the repository on GitHub"><span class="docs-icon fa-brands"></span><span class="docs-label is-hidden-touch">GitHub</span></a><a class="docs-navbar-link" href="https://github.com/titaschanda/TeNLib.jl/blob/main/docs/src/base/fermions.md" title="Edit source on GitHub"><span class="docs-icon fa-solid"></span></a><a class="docs-settings-button docs-navbar-link fa-solid fa-gear" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-article-toggle-button fa-solid fa-chevron-up" id="documenter-article-toggle-button" href="javascript:;" title="Collapse all docstrings"></a></div></header><article class="content" id="documenter-page"><h1 id="Dealing-with-Fermions"><a class="docs-heading-anchor" href="#Dealing-with-Fermions">Dealing with Fermions</a><a id="Dealing-with-Fermions-1"></a><a class="docs-heading-anchor-permalink" href="#Dealing-with-Fermions" title="Permalink"></a></h1><p>TeNLib.jl uses the following function to teat fermionic operators.</p><article class="docstring"><header><a class="docstring-article-toggle-button fa-solid fa-chevron-down" href="javascript:;" title="Collapse docstring"></a><a class="docstring-binding" id="TeNLib.bosonize-Union{Tuple{T}, Tuple{Vector{Pair{String, Int64}}, Array{Index{T}, 1}}} where T" href="#TeNLib.bosonize-Union{Tuple{T}, Tuple{Vector{Pair{String, Int64}}, Array{Index{T}, 1}}} where T"><code>TeNLib.bosonize</code></a> — <span class="docstring-category">Method</span></header><section><div><pre><code class="language-julia hljs">function bosonize(oppair::Vector{Pair{String, Int}},
sites::Vector{Index{T}}) where T</code></pre><p>Given a string of operator names with positions in the form of <code>Vector{Pair{String, Int}}</code> &quot;bosonizes&quot; the operator string by putting the Jordan-Wigner string &quot;F&quot; at appropriate places.</p><p><strong>Arguments</strong></p><ul><li><code>oppair::Vector{Pair{String, Int}}</code>: Input string of operator names with positions.</li><li><code>sites::Vector{Index}</code>: The entire site <code>Index</code>s as per ITensors&#39; convention.</li></ul><p><strong>Return values</strong></p><ul><li><code>::Int</code>: Even (+1) or odd (-1) permutation.</li><li><code>::Vector{Pair{String, Int}}</code>: modified string of operator names and positions.</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/titaschanda/TeNLib.jl/blob/59efe08ba3eb4062e8048f3f97564e79c3f727e4/src/base/fermions.jl#L15-L29">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../global/">« Controlling global behaviors</a><a class="docs-footer-nextpage" href="../opstrings/">OpStrings »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="auto">Automatic (OS)</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.2.1 on <span class="colophon-date" title="Tuesday 26 December 2023 21:54">Tuesday 26 December 2023</span>. Using Julia version 1.9.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
sites::Vector{Index{T}}) where T</code></pre><p>Given a string of operator names with positions in the form of <code>Vector{Pair{String, Int}}</code> &quot;bosonizes&quot; the operator string by putting the Jordan-Wigner string &quot;F&quot; at appropriate places.</p><p><strong>Arguments</strong></p><ul><li><code>oppair::Vector{Pair{String, Int}}</code>: Input string of operator names with positions.</li><li><code>sites::Vector{Index}</code>: The entire site <code>Index</code>s as per ITensors&#39; convention.</li></ul><p><strong>Return values</strong></p><ul><li><code>::Int</code>: Even (+1) or odd (-1) permutation.</li><li><code>::Vector{Pair{String, Int}}</code>: modified string of operator names and positions.</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/titaschanda/TeNLib.jl/blob/2e654263085a7b83f2d9edaea7f05848a18d91e1/src/base/fermions.jl#L15-L29">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../global/">« Controlling global behaviors</a><a class="docs-footer-nextpage" href="../opstrings/">OpStrings »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="auto">Automatic (OS)</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.2.1 on <span class="colophon-date" title="Tuesday 26 December 2023 22:02">Tuesday 26 December 2023</span>. Using Julia version 1.9.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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