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Energy extraction is a central task in thermodynamics. In quantum physics, ergotropy measures the amount of work extractable under cyclic Hamiltonian control. As its full extraction requires perfect knowledge of the initial state, however,…

Quantum Physics · Physics 2023-05-31 Dominik Šafránek , Dario Rosa , Felix Binder

Constraints on work extraction are fundamental to our operational understanding of the thermodynamics of both classical and quantum systems. In the quantum setting, finite-time control operations typically generate coherence in the…

Thermodynamics teaches that if a system initially off-equilibrium is coupled to work sources, the maximum work that it may yield is governed by its energy and entropy. For finite systems this bound is usually not reachable. The maximum…

Statistical Mechanics · Physics 2009-11-10 A. E. Allahverdyan , R. Balian , Th. M. Nieuwenhuizen

Maximum quantum work extraction is generally defined in terms of the ergotropy functional, no matter how experimentally complicated is the implementation of the optimal unitary allowing for it, especially in the case of multipartite…

Quantum Physics · Physics 2025-01-27 Riccardo Castellano , Ranieri Nery , Kyrylo Simonov , Donato Farina

We consider a quasi-probability distribution of work for an isolated quantum system coupled to the energy-storage device given by the ideal weight. Specifically, we analyze a trade-off between changes in average energy and changes in…

Quantum Physics · Physics 2022-07-20 Marcin Łobejko

Quantum work capacitances and maximal asymptotic work/energy ratios are figures of merit characterizing the robustness against noise of work extraction processes in quantum batteries formed by collections of quantum systems. In this paper…

Quantum Physics · Physics 2025-01-31 Salvatore Tirone , Raffaele Salvia , Stefano Chessa , Vittorio Giovannetti

We investigate the problem of work extraction from a cavity-based quantum battery that is remotely charged via a transmission line composed of an array of coupled single-mode cavities. For uniform coupling along the line, we show that the…

Quantum Physics · Physics 2026-02-19 I. Beder , D. Ferraro , P. A. Brandão

In this study, we investigate the effectiveness of entropic uncertainty relations (EURs) in discerning the energy variation in quantum batteries (QBs) modelled by battery-charger-field in the presence of bosonic and fermionic reservoirs.…

Quantum Physics · Physics 2024-06-05 Meng-Long Song , Xue-Ke Song , Liu Ye , Dong Wang

We propose a physical scheme of a uniformly accelerated Unruh-DeWitt battery and utilize quantum work extraction as a probe to witness the thermal nature of the Unruh effect induced by the accelerated motion. By employing the open quantum…

General Relativity and Quantum Cosmology · Physics 2025-09-10 Wei-Wei Zhang , Tian-Xi Ren , Yin-Zhong Wu , Xiang Hao

This study examines the steady state characteristics of work extraction in a two cell and three cell quantum battery interacting with multiple thermal reservoirs. Employing the quantum master equation framework within the Born-Markov…

Quantum Physics · Physics 2025-02-11 Maryam Hadipour , Soroush Haseli

Ergotropy provides a fundamental measure of the extractable work from a quantum system and, consequently, of the maximal useful energy, or charge, stored within it. Understanding how this quantity can be manipulated and transformed…

Quantum Physics · Physics 2026-04-30 André H. A. Malavazi , Borhan Ahmadi , Paweł Horodecki , Pedro R. Dieguez

Ergotropy, as a measure for extractable work from a quantum system, has garnered significant attention due to its relevance in quantum thermodynamics and information processing. In this work, the dynamics of ergotropy will be investigated…

Quantum Physics · Physics 2024-06-04 Maryam Hadipour , Soroush Haseli

Work extraction protocol is always a significant issue in the context of quantum batteries, in which the notion of ergotropy is used to quantify a particular amount of energy that can be extracted through unitary processes. Given the total…

Quantum Physics · Physics 2021-10-04 F. H. Kamin , S. Salimi , Alan C. Santos

Motivated by the recent interest in thermodynamics of micro- and mesoscopic quantum systems we study the maximal amount of work that can be reversibly extracted from a quantum system used to store temporarily energy. Guided by the notion of…

Quantum Physics · Physics 2013-05-01 Robert Alicki , Mark Fannes

We analyze work extraction from a qubit into a wave guide (WG) acting as a battery, where work is the coherent component of the energy radiated by the qubit. The process is stimulated by a wave packet whose mean photon number (the battery's…

Quantum Physics · Physics 2020-03-31 Juliette Monsel , Marco Fellous-Asiani , Benjamin Huard , Alexia Auffèves

In an article by Garc\'ia-Pintos et al. [Rev. Lett. 125, 040601 (2020)] the connection between the charging power of a quantum battery and the fluctuations of a "free energy operator" whose expectation value characterizes the maximum…

Quantum Physics · Physics 2021-07-19 Shang-Yung Wang

In this work, we investigate the amount of energy that can be extracted or charged through unitary operations when only minimal information about the state is known. Assuming knowledge of only the mean energy of the state, we start by…

Quantum Physics · Physics 2025-09-12 Andrea Canzio , Vasco Cavina , Roberto Menta , Vittorio Giovannetti

We present a theoretical analysis of the energy recovery efficiency for quantum batteries composed of many identical quantum cells undergoing noise. While the possibility of using quantum effects to speed up the charging processes of…

Quantum Physics · Physics 2024-08-14 Salvatore Tirone , Raffaele Salvia , Stefano Chessa , Vittorio Giovannetti

We investigate work extraction protocols designed to transfer the maximum possible energy to a battery using sequential access to $N$ copies of an unknown pure qubit state. The core challenge is designing interactions to optimally balance…

Quantum Physics · Physics 2025-05-15 Josep Lumbreras , Ruo Cheng Huang , Yanglin Hu , Mile Gu , Marco Tomamichel

We experimentally realize protocols that allow to extract work beyond the free energy difference from a single electron transistor at the single thermodynamic trajectory level. With two carefully designed out-of-equilibrium driving cycles…

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