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improvement suggested in review
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QuantumToolbox.jl/time_evolution/rabi.qmd

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@@ -169,10 +169,12 @@ $$
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where the $(\Gamma_i, \hat{S}_i)$ pairs are
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1. $\kappa \cdot n(\omega_c, T), \hat{a}^\dagger$
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2. $\kappa \cdot (1 + n(\omega_c, T)), \hat{a}$
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3. $\gamma \cdot n(\omega_a, T), \hat{\sigma}^\dagger$
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4. $\gamma \cdot (1 + n(\omega_a, T)), \hat{\sigma}$
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|$i$| $\Gamma_i$ | $\hat{S}_i$ |
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|---| :--------: | :---------: |
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|1|$\kappa \cdot n(\omega_c, T)$|$\hat{a}^\dagger$|
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|2|$\kappa \cdot [1 + n(\omega_c, T)]$|$\hat{a}$|
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|3|$\gamma \cdot n(\omega_a, T)$|$\hat{\sigma}^\dagger$|
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|4|$\gamma \cdot [1 + n(\omega_a, T)]$|$\hat{\sigma}$|
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with $n(\omega, T)$ being the Bose-Einstein distribution for the EM environment and $\mathcal{D}[\hat{\mathcal{O}}]\left(\cdot\right) = \hat{\mathcal{O}} \left(\cdot\right) \hat{\mathcal{O}}^\dagger - \frac{1}{2} \{ \hat{\mathcal{O}}^\dagger \hat{\mathcal{O}}, \cdot \}$ being the Lindblad dissipator.
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@@ -245,7 +247,7 @@ axe_me = Axis(
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ylims!(axe_me, 0, 1)
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lines!(axe_me, tlist, e_me, label = "resonant")
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lines!(axe_me, tlist, e_me_, label = "off resonant")
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axislegend(axe_me; position = :rb, labelsize = 12)
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axislegend(axe_me; position = :rt, labelsize = 12)
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display(fige_me);
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```
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