Long-time memory in non-Markovian evolutions

Understand

If the dynamics of an open quantum systems 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.