Constraints on relaxation rates for N-level quantum systems

Details Constraints on relaxation rates for N-level quantum systems Constraints on relaxation rates for N-level quantum systems

2003-12-31

arxiv.org/abs/quant-ph/0312231v2

Phys. Rev. A 70, 022107 (2004)

Physics

Quantum Physics

10 pages, RevTeX, 4 figures (eps/pdf)

Scientific paper

10.1103/PhysRevA.70.022107

We study the constraints imposed on the population and phase relaxation rates by the physical requirement of completely positive evolution for open N-level systems. The Lindblad operators that govern the evolution of the system are expressed in terms of observable relaxation rates, explicit formulas for the decoherence rates due to population relaxation are derived, and it is shown that there are additional, non-trivial constraints on the pure dephasing rates for N>2. Explicit experimentally testable inequality constraints for the decoherence rates are derived for three and four-level systems, and the implications of the results are discussed for generic ladder-, Lambda- and V-systems, and transitions between degenerate energy levels.

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