We investigate a quantum battery made of N two-level systems, which is charged by an optical mode via an energy-conserving interaction. We quantify the fraction E(N) of energy stored in the B battery that can be extracted in order to perform thermodynamic work. We first demonstrate that E(N) is highly reduced by the presence of correlations between the charger and the battery or B between the two-level systems composing the battery. We then show that the correlation-induced suppression of extractable energy, however, can be mitigated by preparing the charger in a coherent optical state. We conclude by proving that the charger-battery system is asymptotically free of such locking correlations in the N \to \infty limit.
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。
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.}
Activating thermally charged quantum batteries in finite time: Thermodynamic trade-offs between correlations, work, and information
Chalmers University of Technology（查尔姆斯理工大学）；Indian Institute of Science Education and Research Kolkata（印度科学教育研究所加尔各答分校）；Indian Institute of Technology Madras（印度理工学院马德拉斯分校）
Locally Passive, Globally Charged Quantum Batteries: Coherence-Controlled Work and the Robustness of the Stored Charge
Qatar Center for Quantum Computing, College of Science and Engineering, Hamad Bin Khalifa University（卡塔尔量子计算中心，科学与工程学院，哈马德·本·哈利法大学）；The University of Adelaide（阿德莱德大学）
Coherent catalyst induced stabilization of ergotropy in open quantum batteries
Center for Quantum Materials and Computational Condensed Matter Physics, Faculty of Science, Kunming University of Science and Technology（昆明理工大学理学院量子材料与计算凝聚态物理中心）
Boosting Work Extraction in Quantum Batteries via Continuous Environment Monitoring
Università degli Studi dell’Insubria（因苏布里亚大学）；Istituto Nazionale di Fisica Nucleare, Sezione di Milano（意大利国家核物理研究所米兰分部）；Università di Genova（热那亚大学）；CNR-SPIN（意大利国家研究委员会自旋物理中心）；Università degli Studi di Milano（米兰大学）
Quantum advantage unlocked: Charging quantum batteries with K-regular graph stabilizers
Harish-Chandra Research Institute（哈立什-昌德拉研究所）；Homi Bhabha National Institute（霍米·巴巴国立研究所）；Mark Kac Complex Systems Research Center, Jagiellonian University in Kraków（雅盖隆大学马克·卡克复杂系统研究中心）；Dipartimento di Fisica e Astronomia, Università di Padova（帕多瓦大学物理与天文学系）；Department of Physics, Indian Institute of Technology Palakkad（印度理工学院帕拉卡德分校物理系）
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）
Feedback-Enhanced Driven-Dissipative Quantum Batteries in Waveguide-QED Systems
The Hong Kong Polytechnic University（香港理工大学）；City University of Hong Kong（香港城市大学）；The Hong Kong Polytechnic University Shenzhen Research Institute（香港理工大学深圳研究院）；Research Institute for Quantum Technology, The Hong Kong Polytechnic University（香港理工大学量子技术研究所）
School of Physics and Astronomy, Beijing Normal University（北京师范大学物理学院）；Key Laboratory of Multiscale Spin Physics (Beijing Normal University), Ministry of Education（教育部多尺度自旋物理重点实验室（北京师范大学））；School of Physics and Optoelectronics, South China University of Technology（华南理工大学物理与光电工程学院）
Catalytic Stabilization of Ergotropy and Backflow Suppression in Open Many-Body Quantum Batteries
Center for Quantum Materials and Computational Condensed Matter Physics, Faculty of Science, Kunming University of Science and Technology（昆明理工大学理学院量子材料与计算凝聚态物理中心）
Quantum advantage bounds for a multipartite Gaussian battery
Università di Genova（热那亚大学）；CNR-SPIN（意大利国家研究委员会自旋物理研究所）；Università degli Studi dell’Insubria（因苏布里亚大学）；Istituto Nazionale di Fisica Nucleare, Sezione di Milano（意大利国家核物理研究所米兰分部）
