



01255nas a2200169   4500008004100000245007000041210006900111260001400180300000800194490000600202520075000208100002500958700001300983700003200996700002001028856003701048       2021                        eng d00aEnergy storage and coherence in closed and open quantum batteries0 aEnergy storage and coherence in closed and open quantum batterie  c7/15/2021  a5050 v53 a<p>We study the role of coherence in closed and open quantum batteries. We obtain upper bounds to the work performed or energy exchanged by both closed and open quantum batteries in terms of coherence. Specifically, we show that the energy storage can be bounded by the Hilbert-Schmidt coherence of the density matrix in the spectral basis of the unitary operator that encodes the evolution of the battery. We also show that an analogous bound can be obtained in terms of the battery&#39;s Hamiltonian coherence in the basis of the unitary operator by evaluating their commutator. We apply these bounds to a 4-state quantum system and the anisotropic XY Ising model in the closed system case, and the Spin-Boson model in the open case.&nbsp;</p>1 aCaravelli, Francesco1 aYan, Bin1 aGarcía-Pintos, Luis, Pedro1 aHamma, Alioscia  uhttps://arxiv.org/abs/2012.15026