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Conditional Hamiltonian and reset operator in the quantum jump approach

Gerhard C Hegerfeldt and Dirk G Sondermann

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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.


PACS

42.50.Lc Quantum fluctuations, quantum noise, and quantum jumps

42.50.Ar Photon statistics and coherence theory

Subjects

Optics, quantum optics and lasers

Dates

Issue 1 (February 1996)



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