Klaus Mølmer helped develop a wave-function description of dissipative quantum evolution with Yvan Castin and Jean Dalibard. Their 1992 manuscript, reproduced in 2008, represents individual conditioned evolutions through stochastic jumps and intervening nonunitary evolution.[ref]
A Wave Function approach to dissipative processes by Yvan Castin and others. Sections 1–2: jump/no-jump construction and ensemble equivalence
Averaging many trajectories recovers the corresponding Lindblad equation. This quantum-trajectory unravelling connects an ensemble density operator with possible individual measurement records; the trajectory depends on how the environment is monitored.