Markovian and non-Markovian state evolution in open quantum systems

Carole Addis

Tarek Khalil, J. Richert

We examine the properties of open quantum systems with respect to their time evolution in different regimes, Markovian and non-Markovian. We analyze their behaviour with respect to their coherent or decoherent time evolution by means of different models and try to gain some insight into the possible correlations between Markovianity and coherence.

Dariusz Chruściński, Andrzej Kossakowski

Andrzej Kossakowski, Rolando Rebolledo

Non-Markovian reduced dynamics of an open system is investigated. In the case when the initial state of the reservoir is the vacuum state, an approximation is introduced which makes it possible to construct a reduced dynamics which is completely positive.

Dariusz Chruściński, Andrzej Kossakowski, Saverio Pascazio

If the dynamics of an open quantum system is non-Markovian, its asymptotic state strongly depends on the initial conditions, even if the dynamics possesses an invariant state. This is the very essence of memory effects. In particular, the asymptotic state can remember and partially preserve its initial entanglement. Interestingly, even if the non-Markovian evolution relaxes to an equilibrium state, this state needs not be invariant. Therefore, the noninvariance of equilibrium becomes a clear sign of non-Markovianity.

Heinz‐Peter Breuer