Non-Markovianity in the time evolution of open quantum systems assessed by means of quantum state distance

Abstract We provide a quantitative evaluation of non-Markovianity (NM) for an XX chain interacting qubits with one end coupled to reservoir. The NM several non-Markovian spectral densities is assessed in terms various quantum state distance (QSD) measures. Our approach based on the construction density matrix open chain, without necessity master
equation. For quantification we calculate dynamics QSD measures between Markovian-damped and types non-Markovian-damped cases. Since literature measures, appear forms that imply trace preserving matrices, introduced appropriate modifications so as render them applicable case decaying traces. results
produce remarkable consistency They also reveal subtle potentially useful interplay qubit-qubit interaction damping. calculations have uncovered surprisingly dramatic slowing-down dissipation by squared Lorentzian