Classifying the non-time-local and entangling dynamics of an open qubit system

Understand

We study families of dynamical maps generated from interactions with varying degrees of symmetry.

• For a family of time-independent Hamiltonians, we demonstrate the relationship between symmetry, strong-coupling, perfect entanglers, non-Markovian features, and non-time-locality.
• We show that by perturbing the initial environment state, effective time-local descriptions can be obtained that are non-singular yet capture essential non-unitary features of the reduced dynamics.
• We then consider a time-dependent Hamiltonian that changes the degree of symmetry by activating a dormant degree of freedom.