We studied the dynamics of entropic uncertainty in Markovian and non-Markovian systems during the charging of open quantum batteries (QBs) mediated by a common dissipation environment. In the non-Markovian regime, the battery is almost fully charged efficiently, and the strong non-Markovian property is beneficial for improving the charging power. In addition, the results show that the energy storage is closely related to the couplings of the charger-reservoir and battery-reservoir; that is, the stronger coupling of a charger-reservoir improves energy storage. In particular, entanglement is required to obtain the most stored energy and is accompanied by the least tight entropic bound. Interestingly, it was found that the tightness of the entropic bound can be considered a good indicator of the energy transfer in different charging processes, and the complete energy transfer always corresponds to the tightest entropic bound. Our results provide insight into the optimal charging efficiency of QBs during practical charging.
Comment on "Fluctuations in Extractable Work Bound the Charging Power of Quantum Batteries"
在García-Pintos等人的一篇文章中[Rev. Lett. 125，040601（2020）]研究了量子电池的充电功率与“自由能算子”的波动之间的联系，该自由能算子的期望值表征了电池的最大可提取功。闭系统分析的结果表明，对于一般的充电过程，电池将有一个非零的充电功率当且仅当电池的状态是不是一个本征态的自由能算子。本文指出了分析中的几个错误，并得出了充电功率的正确界。因此，闭系统动力学的结果一般是不正确的。
Fundamental Limitations on the Reliabilities of Power and Work in Quantum Batteries
University of Oulu（奥卢大学）；Indian Institute of Science Education and Research (IISER), Mohali（印度科学教育研究所（莫哈利））；QMill Oy（QMill公司）；Leibniz Institute of Hannover（汉诺威莱布尼茨研究所）；TU Berlin（柏林工业大学）；ICFO - Institut de Ciències Fotòniques, The Barcelona Institute of Science and Technology（巴塞罗那光子科学研究所，巴塞罗那科学技术研究院）；ICREA（加泰罗尼亚高级研究学院）
Fluctuations in extractable work bound the charging power of quantum batteries
我们研究了量子电池的充电功率与可提取功的波动之间的联系。我们证明，为了有一个非零的变化率的可提取的工作，电池的状态$ρ_\mathcal{W}$不能是一个“\emph{free energy operator}”的本征态，定义为$\mathcal{F}~\equiv~H_\mathcal{W}~+~β^{-1}\log(ρ_\mathcal{W})$，其中$H_\mathcal{W}$是汉密尔顿的电池和$β$是逆温度的参考热浴相对于可提取的工作进行计算。我们这样做是通过证明自由能算子的波动上限量子电池的充电功率。我们的研究结果还表明，电池中的量子相干性增强了充电过程，我们在热机的玩具模型上说明了这一点。\ \emph{Note: this version includes our Reply to a Comment by Cusumano and Rudnicki, both published in Phys. Rev. Lett.}
Spin-Squeezing-Enhanced Charging for Quantum Dicke Batteries
Fujian Key Laboratory of Quantum Information and Quantum Optics, Fuzhou University（福建量子信息与量子光学重点实验室，福州大学）；Department of Physics, Fuzhou University（福州大学物理系）；School of Physics and Electronic Engineering, Hubei University of Arts and Science（湖北文理学院物理与电子工程学院）；Quantum Information Physics Theory Research Team, Center for Quantum Computing, RIKEN（理化学研究所量子计算中心量子信息物理理论研究组）
College of Physics and Electronic Science, Hubei Normal University（湖北师范大学物理与电子科学学院）；Hubei Engineering Institute（湖北工程学院）；State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Laser Spectroscopy, Shanxi University（山西大学量子光学与量子光学器件国家重点实验室激光光谱研究所）；Collaborative Innovation Center of Extreme Optics, Shanxi University（山西大学极端光学协同创新中心）
System versus charger in performance optimization of quantum batteries
Bar-Ilan University（巴伊兰大学）；Indian Institute of Technology (Banaras Hindu University)（印度理工学院（贝拿勒斯印度教大学））；Harish-Chandra Research Institute, A CI of Homi Bhabha National Institute（哈里什-昌德拉研究所，霍米·巴巴国立学院成员机构）
Fast charging of quantum batteries assisted by nonlinear couplings
National Tsing Hua University（国立清华大学）；Institute of Atomic and Molecular Sciences, Academia Sinica（中央研究院原子与分子科学研究所）；Georgia Institute of Technology（佐治亚理工学院）；National Central University（国立中央大学）；Molecular Science and Technology Program, Taiwan International Graduate Program, Academia Sinica（中央研究院台湾国际研究生分子科学与技术学程）；National Center for Theoretical Sciences（国家理论科学中心）
