Geometric phase in dissipative quantum batteries

Abstract

We study the geometric phase accumulated during nonadiabatic charging of different driven open quantum systems serving as quantum battery models. We provide a full numerical analysis of dynamics under different types of noises typically reported in superconducting circuit implementations. We complement the study with analytic results derived in the limiting case of no noise (i.e., isolated systems). We compute the nonunitary geometric phase acquired by the quantum batteries during the transition and show that there is a direct relation between the accumulated geometric phase and the integral of the stored energy during the transition. Finally, we perform the same analysis on a bipartite quantum battery that relies on a dephased charger and find similar results. Our theoretical findings are within experimental reach using state-of-the-art techniques.