Completely positive dynamical semigroups and quantum resonance theory

Abstract

Starting form 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.

References in corpus (4)

• Another Return of 'Return to Equilibrium'
• Resonance Theory of Decoherence and Thermalization
• Dynamics of Collective Decoherence and Thermalization
• On the irreversible dynamics emerging from quantum resonances

Cited by in corpus (5)

• Open quantum system dynamics and the mean force Gibbs state
• Quantum Markovian master equations: resonance theory shows validity for all time scales
• Hamiltonian of mean force in the weak-coupling and high-temperature approximations and refined quantum master equations
• Quantum Thermodynamics in the Refined Weak Coupling Limit
• Quantum Electron Transport in Degenerate Donor-Acceptor Systems