open quantum system approach for charger-mediated energy transfer in quantum batteries
Putu Gede Agus Krisna Yogantara, Freddy Permana Zen

Department of Physics, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung Jl. Ganesha 10, Bandung 40132, Indonesia

Abstract

The energy charging of a quantum battery is analyzed in an open quantum setting, where the interaction between the battery element and the external power source is mediated by an ancilla system (the quantum charger) that act as a controllable switch. The battery and the charger are described by resonant harmonic oscillator assuming the following of Hamiltonian distribution. The approximation of this energy is quantized by interaction picture and dephasing state is determined by Lindblad equation which is the coupling constant is a time dependent step function. Then, the energy is determined by the solution in equation of motion from the interaction picture of the battery and charger element. Different implementations are analyzed putting emphasis on the interplay between coherent energy pumping mechanism and thermalization.

Keywords: Harmonic oscillator, Lindblad equation, open system, quantum battery

Topic: Theoretical High Energy Physics