A major challenge in preserving the coherence of manybody quantum systems is that the system is perturbed by uncontrolled interactions with the environment, which can disrupt such fragile quantum coherence. Local impurities, defects, as well as phononic and photonic environments, prompt single TLSs to excite or de-excite incoherently or undergo dephasing, see Figure 1. This breaks the time reversibility of the unitary dynamics that distinguishes isolated quantum systems. From a theoretical point of view, one can treat this problem of an open quantum system with a range of powerful tools developed over the last few decades [5–9].