Entanglement and work extraction in the central-spin quantum battery
- URL: http://arxiv.org/abs/2205.11074v1
- Date: Mon, 23 May 2022 06:41:47 GMT
- Title: Entanglement and work extraction in the central-spin quantum battery
- Authors: Jia-Xuan Liu, Hai-Long Shi, Yun-Hao Shi, Xiao-Hui Wang, Wen-Li Yang
- Abstract summary: We consider a central-spin battery where $N_b$ central spins serve as battery cells and $N_c$ bath spins serve as charging units.
It is shown that the energy stored in the battery that can be extractable is quantified by the ergotropy, and that battery-charger entanglement is quantified via the Von Neumann entropy.
- Score: 3.59786676445968
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We consider a central-spin battery where $N_b$ central spins serve as battery
cells and $N_c$ bath spins serve as charging units. It is shown that the energy
stored in the battery that can be extractable is quantified by the ergotropy,
and that battery-charger entanglement is quantified via the Von Neumann
entropy. By using an exact approach to a one-cell and two-cell battery, our
analytical results suggest that, during the charging process, the extractable
work slowly increases before the battery-charger entanglement reaches its
maximum and then it will rapidly increase when the entanglement begins to
decrease. In particular, we rigorously show that there is an inverse
relationship between the extractable work and the entanglement at the end of
the charging process. Moreover, we investigate different approaches to realize
optimal work extraction without wasted energy. Among them a central-spin
battery with an unpolarized Dicke state as the charger possesses a universal
charging time $\propto 1/N_c$, large extractable work, and
$\sqrt{N_c}$-improvement of charging power compared with the battery in the
Tavis-Cummings limit. The above-mentioned results have also been numerically
verified in multi-cell batteries. Our results pave the way to improve
extractable work storage in the central-spin battery and highlight a
competitive relation between the extractable work and the battery-charger
entanglement.
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