  Exchange correlation plays an important role in double-ionization of complex
atoms by ultrashort laser pulse. In this work, we investigate two-photon double
inner-shell electron ionization of neon induced by an attosecond extreme
ultraviolent pulse in the framework of the quantum master equation. Our
simulations reveal a distinct non-sequential effect via broadened double peaks,
as a result of energy sharing between the two ionized electrons. When
dissipation is included to show the interplay of coherence and decoherence, the
two-photon double-ionization scaling law breaks down. We further study the
total cross section of $2s^2$ double ionization as a function of photon energy
in both $non$-$sequential$ and $sequential$ regions.
