Completely positive dynamical semigroups and quantum resonance theory
Starting from a microscopic system–environment model, we construct a quantum dynamical semigroup for the reduced evolution of the open system. The difference between the true system dynamics and its approximation by the semigroup has the following two properties: It is (linearly) small in the system–environment coupling constant for all times, and it vanishes exponentially quickly in the large time limit. Our approach is based on the quantum dynamical resonance theory.
KeywordsOpen quantum system Quantum resonances Dynamical semigroup Complete positivity
Mathematics Subject Classification82C10 81S22
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