Minimal time required to charge a quantum system
arXiv:2308.16086 · doi:10.1103/PhysRevA.109.022607
Abstract
We introduce a quantum charging distance as the minimal time that it takes to reach one state (charged state) from another state (depleted state) via a unitary evolution, assuming limits on the resources invested into the driving Hamiltonian. For pure states it is equal to the Bures angle, while for mixed states, its computation leads to an optimization problem. Thus, we also derive easily computable bounds on this quantity. The charging distance tightens the known bound on the mean charging power of a quantum battery, it quantifies the quantum charging advantage, and it leads to an always achievable quantum speed limit. In contrast with other similar quantities, the charging distance does not depend on the eigenvalues of the density matrix, it depends only on the corresponding eigenspaces. This research formalizes and interprets quantum charging in a geometric way, and provides a measurable quantity that one can optimize for to maximize the speed of charging of future quantum batteries.
15 pages, 4 figures, v2: added Table I: main results, extended discussion on the quantum speed limit
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Cited by in corpus (12)
- Dephasing Enabled Fast Charging of Quantum Batteries
- Stronger speed limit for observables: Tight bound for the capacity of entanglement, the modular Hamiltonian and the charging of a quantum battery
- Two-photon charging of a quantum battery with a Gaussian pulse envelope
- Quantum Speed Limits Based on Schatten Norms: Universality and Tightness
- Wireless energy transfer in non-Hermitian quantum battery
- Quantum advantage in batteries for Sachdev-Ye-Kitaev interactions
- Generalized Entropic Quantum Speed Limits
- Coherent Quantum Speed Limits
- Quantum speed limits based on Jensen-Shannon and Jeffreys divergences for general physical processes
- Implementation of multiparticle quantum speed limits on observables
- Optimal Work Extraction from Finite-Time Closed Quantum Dynamics
- Asymptotic freedom in the dephased charging of quantum batteries