Conditional Hamiltonian and reset operator in the quantum jump approach
Gerhard C. Hegerfeldt, Dirk G. Sondermann · Quantum and Semiclassical Optics Journal of the European Optical Society Part B · 1996
For the time development of a single system in the quantum jump approach or for quantum trajectories one requires the conditional (reduced) Hamiltonian between jumps and the reset operator after a jump. Explicit expressions for them are derived for a general N -level system by employing the same assumptions as in the usual derivation of the Bloch equations. We discuss a possible minor problem with positivity for these expressions as well as for the corresponding Bloch equations.