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Energy storage and coherence in closed and open quantum batteries

TitleEnergy storage and coherence in closed and open quantum batteries
Publication TypeJournal Article
Year of Publication2021
AuthorsF. Caravelli, B. Yan, L. Pedro Garcia-Pintos, and A. Hamma
JournalQuantum
Volume5
Date PublishedJUL 15
Type of ArticleArticle
ISSN2521-327X
Abstract

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's Hamiltonian coherence in the basis of the unitary operator by evaluating their commutator. We apply these bounds to a 4state quantum system and the anisotropic XY Ising model in the closed system case, and the Spin-Boson model in the open case.