Physics behind the annihilator-creator operator formula

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Lizzie Mann
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Equation: rho(0) = a rho_ss a+ divided by <a+ a>_ss, where rho(0) is the initial density operator and rho_ss is the steady-state density operator.
a
In the formula above, on the left hand side, ρ(0) is a system's density operator in its initial state. a is the annihilator operator of the system, and a+ is the create operator of the system. ρss is the system's density operator in its steady state.

But I don't understand why this formula writes in this way. Could anyone tell me what is the physics behind this formula?

Many thanks!
 

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