deletions | additions       diff --git a/Energies.tex b/Energies.tex  index 1bc3d43..35b6323 100644  --- a/Energies.tex  +++ b/Energies.tex 
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\end{equation}  with $N\in\mathbb{N}$, $n,m=\{+,-\}$ and $\gamma_{nm}=n\Gamma_1+m\Gamma_2$ are the eigenvalues of the operator $\hat{\gamma}$ on the 2-qubits bases $\{|nm>\}=\{|++>,|+->,|-+>,|-->\}$.  Negletting the costant therm constant terms  of the Hamiltonian it becomes \begin{equation}  H_{2q}=\hbar\omega_0 D^{\dagger}(\omega^{-1}_0 \hat{\gamma}^{\dagger})\adag a D(\omega^{-1}_0 \hat{\gamma}) + \hbar \frac{\omega_1}{2}\sigma^{(1)}_z + \hbar \frac{\omega_2}{2}\sigma^{(2)}_z - 2\hbar\frac{\Gamma_1\Gamma_2}{\omega^2}\sigma^{(1)}_x\otimes\sigma^{(2)}_x