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We study the energy extraction from and charging to a finite-dimensional quantum system by general quantum operations. We prove that the changes in energy induced by unital quantum operations are limited by the ergotropy/charging bound for…

Quantum Physics · Physics 2023-06-16 Kenta Koshihara , Kazuya Yuasa

The second law of thermodynamics uses change in free energy of macroscopic systems to set a bound on performed work. Ergotropy plays a similar role in microscopic scenarios, and is defined as the maximum amount of energy that can be…

Quantum Physics · Physics 2022-10-19 Tanmoy Biswas , Marcin Łobejko , Paweł Mazurek , Konrad Jałowiecki , Michał Horodecki

In the quantum world, the process of energy storage can be enhanced thanks to various nonclassical phenomena. This inspiring fact suggests quantum batteries as plausible sources of power for future quantum devices, at least in principle.…

Quantum Physics · Physics 2025-10-27 C. A. Downing , M. S. Ukhtary

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…

Quantum Physics · Physics 2024-05-28 J. M. Z. Choquehuanca , P. A. C. Obando , F. M. de Paula , M. S. Sarandy

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…

Quantum Physics · Physics 2022-06-01 Jia-Xuan Liu , Hai-Long Shi , Yun-Hao Shi , Xiao-Hui Wang , Wen-Li Yang

Ergotropy--a key figure of merit for quantum battery (QB) performance--plays a crucial role. However, the dynamics and physical mechanisms governing ergotropy evolution remain open challenges. Here, we investigate the ergotropy of a general…

Quantum Physics · Physics 2025-12-29 Cheng-Jie Wang , Fu-Quan Dou

We investigate work extraction in open quantum batteries composed of interacting spin chains weakly coupled to engineered environments. Focusing on two- and four-qubit XX models initially prepared in thermal Gibbs states, we analyze how…

Quantum Physics · Physics 2026-04-10 Riccardo Grazi , Donato Farina , Niccolò Traverso Ziani , Dario Ferraro

"A battery powers a device" can be read as "work stored in the battery is being transported to the device." In quantum batteries, the total amount of stored work can be measured by ergotropy, which is the maximal work extractable by unitary…

Quantum Physics · Physics 2025-01-20 Rick P. A. Simon , Janet Anders , Karen V. Hovhannisyan

We examine the transport of useful energy, i.e. extractable work as quantified by the ergotropy, along a spin chain with tuneable exchange couplings between the sites. We focus on, and interpolate between, the two physically relevant limits…

Quantum Physics · Physics 2025-11-20 Dara Murphy , Anthony Kiely , Irene D'Amico , Steve Campbell

We investigate a two-qubit open Rabi model, focusing on local ergotropy--the maximum extractable work by acting solely on the two qubits--within a parameter regime where a Berezinskii-Kosterlitz-Thouless dissipative phase transition occurs.…

Quantum Physics · Physics 2025-09-08 G. Di Bello , D. Farina , D. Jansen , C. A. Perroni , V. Cataudella , G. De Filippis

Quantum battery concerns about population redistribution and energy dispatch over controllable quantum systems. Under unitary transformation, ergotropy rather than energy plays an essential role in describing the accumulated useful work.…

Quantum Physics · Physics 2024-12-10 Shi-fan Qi , Jun Jing

The amount of extractable work from a physical system is fundamentally connected to the information available about its state, as illustrated by Maxwell's demon and the Gibbs paradox. In standard thermodynamic protocols involving…

Quantum Physics · Physics 2026-02-27 Tanmoy Biswas

Quantum nano-devices are fundamental systems in quantum thermodynamics that have been the subject of profound interest in recent years. Among these, quantum batteries play a very important role. In this paper we lay down a theory of random…

Quantum batteries, small-scale energy storage devices based on quantum systems, offer the potential for enhanced charging performance through quantum effects such as coherence and collectivity. In this work, we study the collective charging…

Quantum Physics · Physics 2026-03-31 Chayan Purkait , B. Prasanna Venkatesh , Gentaro Watanabe

Work and quantum correlations are two fundamental resources in thermodynamics and quantum information theory. In this work we study how to use correlations among quantum systems to optimally store work. We analyse this question for isolated…

We introduce an ergotropy-based formulation of quantum thermodynamics, which provides a strong connection between average heat and von Neumann entropy. By adopting this formulation, we can reinterpret the infinitesimal average heat in terms…

Quantum Physics · Physics 2025-11-26 J. M. Z. Choquehuanca , P. A. C. Obando , M. S. Sarandy , F. M. de Paula

Considering the emerging applications of quantum technologies, studying energy storage and usage at the quantum level is of great interest. In this context, there is a significant contemporary interest in studying ergotropy, the maximum…

Quantum Physics · Physics 2025-08-26 Jitendra Joshi , T. S Mahesh

We put forward a physical model of a uniformly accelerated Unruh-DeWitt battery and use quantum work extraction as a probe to witness the thermal nature of the Unruh effect in a high dimensional Minkowski spacetime. By means of the open…

High Energy Physics - Theory · Physics 2025-03-05 Yan Chen , Wei-Wei Zhang , Tian-Xi Ren , Xiang Hao

We study the statistical distribution of the ergotropy and of the efficiency of a single-qubit battery ad of a single-qubit Otto engine, respectively fuelled by random collisions. The single qubit, our working fluid, is assumed to exchange…

Quantum Physics · Physics 2022-03-02 Vahid Shaghaghi , G. Massimo Palma , Giuliano Benenti

Quantifying the ergotropy (a.k.a. available energy), namely the maximal amount of energy that can be extracted from a thermally isolated system, is a central problem in quantum thermodynamics. Notably, the same problem has been long studied…

Statistical Mechanics · Physics 2026-05-19 Michele Campisi
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