Energy storage and coherence in closed and open quantum batteries
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 4-state quantum system and the anisotropic XY Ising model in the closed system case, and the Spin-Boson model in the open case.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Jul 15, 2021
- Source ID
- 10.22331/q-2021-07-15-505
Entities
People
- Alioscia Hamma
- Bin Yan
- Francesco Caravelli
- Luis Pedro García-Pintos
Organizations
- Los Alamos National Laboratory
- National Science Foundation
- United States Department of Energy
- University of Maryland
- University of Massachusetts