LOCAL APPROACH TO THE NON-MARKOVIAN EVOLUTION OF QUANTUM SYSTEMS
Dariusz Chruściński, Andrzej Kossakowski · International Journal of Quantum Information · 2011
We analyze a local approach to the non-Markovian evolution of open quantum systems. It turns out that any dynamical map representing evolution of such a system may be described either by non-local master equation with memory kernel or equivalently by equation which is local in time. The price one pays for the local approach is that the corresponding generator might be highly singular and it keeps the memory about the starting point "t0". This is the very essence of non-Markovianity. We illustrate a local approach by simple examples.