Figure 1

Schematic illustration of the envisaged scenario to measure the nonmarkovian character of an unspecified dynamical map. An arbitrary quantum system, possibly multilevel and with an internal dynamics, is subject to the action of a local bath, depicted as a golden glow. The system is initially prepared in a maximally entangled state $|\Phi ⟩$ with an ancilla which is kept shielded from the bath. The green line represents some typical decay of the initial entanglement for a Markovian evolution while the red line corresponds to a possible non-Markovian decay. In this case, the local action of the bath is no longer represented by a continuous family of CP propagators (2) and the entanglement between system and ancilla is no longer constrained to decrease monotonically. It is this deviation ${\mathcal{I}}^{(E)}$ that allows us to estimate the non-Markovianity of the process despite ignoring any details about the evolution itself.Reuse & Permissions

Figure 2

Results of the simulation for the non-Markovianity as a function of the strength of the coupling $\alpha$ between a damped harmonic oscillator and a bath with Ohmic spectral density $J(\omega )=\alpha \omega e^{-\omega /{\omega }_c}$, for different temperatures.Reuse & Permissions

Figure 3

The analogous to Fig. 2 for the case of a super-Ohmic spectral density $J(\omega )=\alpha {\omega }^3{e}^{-\omega /{\omega }_c}$, note the different values of cut-off frequencies and the order of magnitude of $\alpha$.Reuse & Permissions