Yvan Castin, with Jean Dalibard and Klaus Mølmer, formulated a stochastic wave-function approach to dissipative quantum systems. Their construction samples conditional jumps and no-jump evolution so that the ensemble reproduces a density-operator master equation.[ref]
A Wave Function approach to dissipative processes by Yvan Castin and others. Sections 1–2, equations (4)–(16)
Using state vectors can reduce the cost of numerical simulations compared with directly storing a full density matrix, although many trajectories may be needed for precise averages. The 2008 posting reproduces a 1992 manuscript and explicitly acknowledges earlier related quantum-filtering work.
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