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{"documenter":{"julia_version":"1.10.10","generation_timestamp":"2025-08-11T18:15:02","documenter_version":"1.14.1"}}
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{"documenter":{"julia_version":"1.10.10","generation_timestamp":"2025-08-12T06:56:07","documenter_version":"1.14.1"}}

previews/PR73/API/index.html

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previews/PR73/examples/forward_transmission/index.html

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plot(plot(result; y="1/sqrt(2)*(mᵣ+ mᵢ)"), plot(result; y="1/sqrt(2)*(cᵣ + cᵢ)"))
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# Linear response and S21</code></pre><img src="5f013fe3.svg" alt="Example block output"/><p>To find the response of the driven system to a second, weak probe, we use the method described <a href="https://quantumengineeredsystems.github.io/HarmonicBalance.jl/stable/background/stability_response#linresp_background">here</a>. Here, we calculate the response in the same rotating frame as the Hamiltonian. The linear response is related to the scattering parameter <span>$S_{21}$</span> by <span>$S_{21}(\omega)=1-\sqrt{\kappa_{ext}} \chi(\omega),$</span> where <span>$\kappa_{ext}$</span> is the coupling of the system to the measurement apparatus.</p><p>The result below shows the characteristic splitting of the magnon resonance above the power threshold, which matches the experiment.</p><pre><code class="language-julia hljs">Ω_range = range(-0.1, 0.1, 500)
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# Linear response and S21</code></pre><img src="35edced7.svg" alt="Example block output"/><p>To find the response of the driven system to a second, weak probe, we use the method described <a href="https://quantumengineeredsystems.github.io/HarmonicBalance.jl/stable/background/stability_response#linresp_background">here</a>. Here, we calculate the response in the same rotating frame as the Hamiltonian. The linear response is related to the scattering parameter <span>$S_{21}$</span> by <span>$S_{21}(\omega)=1-\sqrt{\kappa_{ext}} \chi(\omega),$</span> where <span>$\kappa_{ext}$</span> is the coupling of the system to the measurement apparatus.</p><p>The result below shows the characteristic splitting of the magnon resonance above the power threshold, which matches the experiment.</p><pre><code class="language-julia hljs">Ω_range = range(-0.1, 0.1, 500)
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χ3 = get_susceptibility(result, 1, Ω_range, 3);
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χ1 = get_susceptibility(result, 1, Ω_range, 1);
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κ_ext = 0.05
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Ω_range, drive_range, vcat(S21_log_1&#39;, S21_log_3&#39;); c=:matter, cbar_title=&quot;S21 (dB)&quot;
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)
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ylabel!(&quot;Ω_d&quot;)
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xlabel!(&quot;Probe detuning&quot;)</code></pre><img src="8237a155.svg" alt="Example block output"/><hr/><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl">Literate.jl</a>.</em></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../API/">« API</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="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.14.1 on <span class="colophon-date" title="Monday 11 August 2025 18:15">Monday 11 August 2025</span>. Using Julia version 1.10.10.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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xlabel!(&quot;Probe detuning&quot;)</code></pre><img src="1ddd2365.svg" alt="Example block output"/><hr/><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl">Literate.jl</a>.</em></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../API/">« API</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="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.14.1 on <span class="colophon-date" title="Tuesday 12 August 2025 06:56">Tuesday 12 August 2025</span>. Using Julia version 1.10.10.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

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