Charging a Quantum Battery Mediated by Parity-Deformed Fields

Abstract: We study the effect of parity deformation of the environmental field modes on the wireless charging performance of a qubit-based open quantum battery (QB) consisting of a qubit-battery and a qubit-charger, where there is no direct interaction between the qubits and battery is charged by the mediation of the environment. The parity deformation introduces field nonlinearities as well as qubit-environment intensity-dependent couplings. We analyze in detail charging characteristics, including the charging energy, efficiency and ergotropy in both the weak and strong coupling regimes, and show that the memory effects of mediator environment are critical in enhancing the charging performance. In the strong coupling regime, parity deformation of the environment fields can further trigger non-Markovian quantum memory of the charger-battery system, thereby enhancing the QB charging performance based on the non-Markovianity. Surprisingly, if the charging process is Markovian in the absence of the parity deformation, parity deformation is able to induce memory effects in the charger-battery dynamics and transforms the Markovian process to the non-Markovian one. This work highlights that proper engineering of the coupling to an environment can introduce an extra quantum memory source to the underlying charging process in favor of environment-mediated charging of the battery.