1209.6331 (Maria Mannone et al.)

Comparison of non-Markovianity criteria in a qubit system under random
external fields    [PDF]

Maria Mannone, Rosario Lo Franco, Giuseppe Compagno

We give the map representing the evolution of a qubit under the action of non-dissipative random external fields. From this map we construct the corresponding master equation that in turn allows us to phenomenologically introduce population damping of the qubit system. We then compare, in this system, the time-regions when non-Markovianity is present on the basis of different criteria both for the non-dissipative and dissipative case. We show that in the non-dissipative case the adopted criteria agree while in the presence of population damping they do not individuate non-Markovianity in the same time-regions.

View original: http://arxiv.org/abs/1209.6331