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Sep 1, 2014 at 10:45 comment added Bubble yes a $\bf{Markovian}$ and time local master equation for a CPT map has to be Lindblad form, however to actually derive Lindblad from the underlying microscopic physics (tracing over is you how you do it) to study open systems with it you have to make several assumptions which are not generic for open systems. One is usually left with Redfield equation.
Aug 31, 2014 at 15:24 comment added yuggib @Bubble If you want the evolution of a quantum state to be trace-preserving and always positive (two reasonable assumptions to give a probabilistic interpretation to states), then it has to obey a Lindblad type equation, as showed by Lindblad in its original paper (at least for bounded generators). I was not talking about partial trace procedures but about describing the dynamics of an open system.
Aug 31, 2014 at 12:45 comment added Bubble Not quite usually! Lindblad requires several assumptions, including Born-Markov, rotating wave approximation, etc.
Jul 27, 2014 at 9:17 history answered yuggib CC BY-SA 3.0