Coherence-Driven Quantum Battery Charging via Autonomous Thermal Machines: Energy Transfer, Memory Effects, and Ergotropy Enhancement

Abstract: In this work, we study a hybrid quantum system composed of a quantum battery and a coherence-driven charger interacting with a Quantum Autonomous Thermal Machine (QATM). The QATM, made of two qubits each coupled to Markovian Bosonics thermal reservoirs at different temperatures, acts as a structured environment that mediates energy and coherence transfer between the charger and the battery. By presenting a coherent driving field on the charger, we investigate the coherence injection effect on the dynamics, including non-Markovianity, power of charging, coherence storage, and ergotropy. We show that the QATM effectively filters the decoherence induced by the thermal baths and induces non-Markovian memory effects due to correlation backflow. Our results demonstrate that coherence driving enhances the battery's ergotropy and power of charging by preserving the internal energy of the charger and facilitating coherent energy transfer.