Conditional Hamiltonian and Reset Operator in the Quantum Jump Approach
atom-ph
2009-10-28 v1 Atomic Physics
Abstract
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.
Cite
@article{arxiv.atom-ph/9512003,
title = {Conditional Hamiltonian and Reset Operator in the Quantum Jump Approach},
author = {Gerhard C. Hegerfeldt and Dirk G. Sondermann},
journal= {arXiv preprint arXiv:atom-ph/9512003},
year = {2009}
}
Comments
13 pages, LaTeX, no figures; to appear in Quantum and Semiclassical Optics