Abstract
Afew particular marked properties of quantum dynamical equations accounting for general relaxation and dissipation are selected and summarized in brief. Most results derive from the universal concept of complete positivity. The considerations mainly regard genuinely irreversible processes as characterized by a unique asymptotically stationary final state for arbitrary initial conditions. From ordinary Markovian master equations and associated quantum dynamical semigroup time-evolution, derivations of higher order Onsager coefficients and related entropy production are discussed. For general processes including non-faithful states a regularized version of quantum relative entropy is introduced. Further considerations extend to time-dependent in- finitesimal generators of time-evolution and to a possible description of propagation of initial states entangled between open system and environment. In the coherence-vector representation of the full non-Markovian equations including entangled initial states, first results are outlined towards identifying mathematical properties of a restricted class of trial integral-kernel functions suited to phenomenological applications.
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Lendi, K. (2003). Selected Aspects of Markovian and Non-Markovian Quantum Master Equations. In: Benatti, F., Floreanini, R. (eds) Irreversible Quantum Dynamics. Lecture Notes in Physics, vol 622. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44874-8_2
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