Dissipative qutrit-mediated stable charging

Abstract: In this work, we propose a stable charging scheme mediated by a dissipative three-level system, which allows a unidirectional energy flow from the external power source to a finite-dimensional quantum battery. By virtue of the dissipation, the battery avoids the spontaneous discharging induced by the time-reversal symmetry in any unitary charging scheme. Irrespective to the initial state, the battery can be eventually stabilized at the maximal-ergotropy state as long as the charger-battery interaction is present. We use a Dyson series of Lindbladian superoperator to obtain an effective master equation to describe the battery dynamics and extract the optimization condition for charging efficiency. Also it proves that the Fermi's golden rule can adapt to the non-Hermitian Hamiltonian. We justify the outstanding performance of our charging scheme when applied to the finite-size system with a uniform energy ladder operator, the large spin battery, and the truncated harmonic oscillator battery.