We investigate the dynamics of ergotropy in open systems under Markovian and non-Markovian evolutions. In this scenario, we begin by formulating the ergotropy of an arbitrary qubit state in terms of energy and coherence. Thus, we determine the conditions for ergotropy freezing and ergotropy sudden death as a consequence of the system-bath interaction. In order to use ergotropy as a resource for energy extraction in the form of work in an open-system scenario, we adopt the entropy-based formulation of quantum thermodynamics. In this approach, the work gains an additional environment-induced component, which may be present even for constant Hamiltonians. We then establish an analytical relationship between the environment-induced work and ergotropy, providing an interpretation of environment-induced work in terms of variation of ergotropy. In particular, energy transfer by environment-induced work can be performed up to a limit, which is governed by the energy cost to transit between the initial and final passive states of the quantum dynamics. We illustrate these results for qubit states evolving under non-dissipative and dissipative quantum processes.
Transient energy backflow enhanced ergotropy in an open qubit quantum battery assisted by an auxiliary oscillator
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）
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）
Entanglement-enhanced fluctuation-free daemonic ergotropy with random measurements
TCG CREST；Seoul National University（首尔大学）；Okinawa Institute of Science and Technology Graduate University（冲绳科学技术大学院大学）；Harish-Chandra Research Institute, A CI of Homi Bhabha National Institute（哈里斯-钱德拉研究所，霍米·巴巴国立学院成员机构）；Slovak Academy of Sciences（斯洛伐克科学院）
School of Physics, University of Chinese Academy of Sciences（中国科学院大学物理学院）；International Centre for Theoretical Physics Asia-Pacific, UCAS（亚太地区理论物理中心，中国科学院大学）
Unequal Coherent Ergotropy at Equal Interferometric Visibility and Energy in Quantum-Controlled Interferometers
International Centre for Theory of Quantum Technologies, University of Gdańsk（格但斯克大学量子技术理论国际中心）；Department of Physics, Federal University of Paraná（巴拉那联邦大学物理系）
RIKEN Pioneering Research Institute (PRI)（RIKEN先锋研究所）；RIKEN Center for Interdisciplinary Theoretical and Mathematical Sciences (iTHEMS)（RIKEN交叉理论与数学科学中心）
Geometric power capacity of coherent ergotropy in quantum batteries
Changchun University of Technology（长春工业大学）；Yanbian University（延边大学）；Capital Normal University（首都师范大学）；Max-Planck-Institute for Mathematics in the Sciences（马克斯·普朗克科学促进部数理研究所）
Coherence-Enhanced Quantum Battery Charging with Ergotropy Stabilization
Texas A&M University（德克萨斯农工大学）；Okinawa Institute of Science and Technology Graduate University（冲绳科学技术大学院大学）；Baylor University（贝勒大学）；Princeton University（普林斯顿大学）
Energetic channels in finite many-body quantum charging
University College Dublin（都柏林大学）；Rinn Quantum and Centre for Quantum Engineering, Science, and Technology, University College Dublin（都柏林大学 Rinn 量子与量子工程、科学与技术中心）；Harvard University（哈佛大学）；University of York（约克大学）；York Centre for Quantum Technologies, University of York（约克大学约克量子技术中心）
Parity-selected charging and noise-correlated work retention in a coupled Si/SiGe double quantum dot battery: theory and experimentally parameterized modeling
Correlation Enhanced Autonomous Quantum Battery Charging via Structured Reservoirs
Abdelmalek Essaadi University（阿卜杜勒马利克·埃萨迪大学）；Mohammed VI Polytechnic University (UM6P)（穆罕默德六世polytechnic大学）；University of Santiago de Compostela（圣地亚哥-德孔波斯特拉大学）；Koç University（库奇大学）；TÜBİTAK Research Institute for Fundamental Sciences（土耳其科学与技术研究基金会基础科学研究所）
