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  • $\begingroup$ In the notation of the link you give, how do your $L_k$-s look like? Usually one is left with an (infinite) hierarchy of eom-s that have to be truncated by some set of approximations. But in some very simple cases it may be possible to do better. $\endgroup$ Commented Jan 3, 2017 at 8:53
  • $\begingroup$ I've edited the main question to address the above comment. I can also post what $E,B,D$ are if that's useful. $\endgroup$ Commented Jan 3, 2017 at 16:27
  • $\begingroup$ That should be exactly solvable. I can try to write up something later, but you want to look up lit. on exactly solvable Lindblad models. See for instance arxiv.org/abs/1511.03347v2 (Sec.3), arxiv.org/abs/1609.07249, but there should be an even nicer algebraic solution out there. $\endgroup$ Commented Jan 3, 2017 at 17:42