Conditional Hamiltonian and Reset Operator in the Quantum Jump Approach

Details Conditional Hamiltonian and Reset Operator in the Quantum Jump Approach Conditional Hamiltonian and Reset Operator in the Quantum Jump Approach

1995-12-11

arxiv.org/abs/atom-ph/9512003v1

Quantum Semiclass. Opt. 8 (1996) 121

Physics

Atomic Physics

13 pages, LaTeX, no figures; to appear in Quantum and Semiclassical Optics

Scientific paper

10.1088/1355-5111/8/1/010

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.

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