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\begin{equation*}
i\frac{\partial |\psi>}{\partial t}=\frac{-1}{4\Delta}\left(\begin{array}{cc}
|\Omega_0|^2 &\Omega_0^*\Omega_1	\\
\Omega_0\Omega_1^* & |\Omega_1|^2
\end{array}\right)|\psi>.
\end{equation*}
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