Characterization of Quantum Thermodynamics in Non-Markovian Open Quantum Systems.

Recently, the interest in the thermodynamical aspects of quantum systems has received a considerable fillip. In this regard, realizing and characterizing practical quantum devices becomes essential. To this end, from a quantum thermodynamical perspective, we study the open quantum system models, where a quantum system is impacted by its ambient environment. We particularly study non-Markovian amplitude damping (NMAD), quantum Brownian motion (QBM), central spin, and the Dicke models, where the system can be envisaged as a quantum battery. We use characterizers such as ergotropy and its (in-)coherent parts, instantaneous and average (dis-)charging powers, system heat current, and figure of merit to probe the quantum system in hand. These give information about the maximum work that can be extracted from a quantum system. We explore the intriguing connection between the non-Markovianity and the recharging process of the quantum battery in a dissipative environment. Further, the (dis-)charging behavior of the quantum battery is benchmarked by various physical properties- and geometrical-based quantum speed limit times in the NMAD model. We show that in the case of QBM, the system's coupling to its environment via its momentum plays a crucial role in the battery's quick charging and slow discharging. Our research provides a stepping stone towards the practical realization of quantum batteries.