Energy storage and coherence in closed and open quantum batteries

Caravelli, Francesco; Yan, Bin; García-Pintos, Luis Pedro; Hamma, Alioscia

doi:10.22331/q-2021-07-15-505

Energy storage and coherence in closed and open quantum batteries

Journal Article · Thu Jul 15 00:00:00 EDT 2021 · Quantum

DOI:https://doi.org/10.22331/q-2021-07-15-505· OSTI ID:1889971

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Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
University of Maryland, College Park, MD (United States)
University of Massachusetts, Boston, MA (United States)

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 4-state quantum system and the anisotropic XY Ising model in the closed system case, and the Spin-Boson model in the open case.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program; US Air Force Office of Scientific Research (AFOSR); USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division

Grant/Contract Number:: 89233218CNA000001; AC52-06NA25396; PRD20170660; PRD20190195; SC0020312; SC0019449; SC0019040

OSTI ID:: 1889971

Report Number(s):: LA-UR-20-30512

Journal Information:: Quantum, Vol. 5; ISSN 2521-327X

Publisher:: Quantum Science Open CommunityCopyright Statement

Country of Publication:: United States

Language:: English

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