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A fundamental problem in quantum thermodynamics is to properly quantify the work extractable from out-of-equilibrium systems. While for closed systems, maximum quantum work extraction is defined in terms of the ergotropy functional, this…

Quantum Physics · Physics 2024-10-22 Riccardo Castellano , Donato Farina , Vittorio Giovannetti , Antonio Acin

We study the modification of the second law of thermodynamics for a quantum system interacting with a reservoir regarding quantum coherence. The whole system is isolated so that neither energy nor information is lost. It is discovered that…

Quantum Physics · Physics 2021-10-12 Yu-Han Ma , C. L. Liu , C. P. Sun

The quantum ergotropy quantifies the maximal amount of work that can be extracted from a quantum state without changing its entropy. Given that the ergotropy can be expressed as the difference of quantum and classical relative entropies of…

Quantum Physics · Physics 2021-08-26 Akira Sone , Sebastian Deffner

In developing quantum science and technologies, it is essential to demonstrate the so-called quantum advantages, which are performances that can be achieved only with the assistance of quantum resources. Most of the time, different quantum…

Quantum Physics · Physics 2025-10-23 Chung-Yun Hsieh , Manuel Gessner

We study the maximal amount of energy that can be extracted from a finite quantum system by means of projective measurements. For this quantity we coin the expression "metrotropy" $\mathcal{M}$, in analogy with "ergotropy" $\mathcal{W}$,…

Quantum Physics · Physics 2019-09-10 Andrea Solfanelli , Lorenzo Buffoni , Alessandro Cuccoli , Michele Campisi

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 study a quantum heat engine at strong coupling between the system and the thermal reservoirs. Exploiting a collective coordinate mapping, we incorporate system-reservoir correlations into a consistent thermodynamic analysis, thus…

Quantum Physics · Physics 2017-03-30 David Newman , Florian Mintert , Ahsan Nazir

A short introduction on quantum thermodynamics is given and three new topics are discussed: 1) Maximal work extraction from a finite quantum system. The thermodynamic prediction fails and a new, general result is derived, the ``ergotropy''.…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. E. Allahverdyan , R. Balian , Th. M. Nieuwenhuizen

We study the work fluctuations in ergotropic heat engines, namely two-strokes quantum Otto engines where the work stroke is designed to extract the ergotropy (the maximum amount of work by a cyclic unitary evolution) from a couple of…

Quantum Physics · Physics 2023-11-10 Giovanni Chesi , Chiara Macchiavello , Massimiliano Federico Sacchi

We consider a quasi-static quantum Otto cycle using two effectively two-level systems with degeneracy in the excited state. The systems are coupled through isotropic exchange interaction of strength $J>0$, in the presence of an external…

Statistical Mechanics · Physics 2017-09-13 Venu Mehta , Ramandeep S. Johal

We consider locally thermal states (for two qubits) with certain amount of quantum entanglement present between them. Unlike previous protocols we show how work can be extracted by performing local unitary operations on this state by…

Inspired by the primary goal of quantum thermodynamics -- to characterize quantum signatures and leverage their benefits in thermodynamic scenarios -- , we design a work extraction game within a bipartite framework that exhibits a quantum…

Quantum Physics · Physics 2025-09-15 Tanmoy Biswas , Chandan Datta , Luis Pedro García-Pintos

The maximum unitarily extractable work from a quantum system -- ergotropy -- is the basic principle behind quantum batteries, a rapidly emerging field. This work studies ergotropy in two quantum chaotic systems, the quantum kicked top and…

Quantum Physics · Physics 2025-08-11 Sreeram PG , J. Bharathi Kannan , S. Harshini Tekur , M. S. Santhanam

Recent experiments have demonstrated the generation of coherent mechanical oscillations in a suspended carbon nanotube, which are driven by an electric current through the device above a certain voltage threshold, in close analogy with a…

Quantum Physics · Physics 2022-10-12 Oisin Culhane , Mark T. Mitchison , John Goold

We apply the quantum jump approach to address the statistics of work in a driven two-level system coupled to a heat bath. We demonstrate how this question can be analyzed by counting photons absorbed and emitted by the environment in…

Quantum Physics · Physics 2015-06-16 F. W. J. Hekking , J. P. Pekola

We analyze a periodic optimal finite-time two-state information-driven machine that extracts work from a single heat bath exploring imperfect measurements. Two models are considered, a memory-less one that ignores past measurements and an…

Statistical Mechanics · Physics 2014-09-26 Michael Bauer , Andre C. Barato , Udo Seifert

"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 analyze the entropy production and the maximal extractable work from a squeezed thermal reservoir. The nonequilibrium quantum nature of the reservoir induces an entropy transfer with a coherent contribution while modifying its thermal…

Quantum Physics · Physics 2016-05-18 Gonzalo Manzano , Fernando Galve , Roberta Zambrini , Juan M. R. Parrondo

In quantum systems which satisfy the hypothesis of equal weights for eigenstates [4], the maximum work principle (for extremely slow and relatively fast operation) is derived by using quantum dynamics alone. This may be a crucial step in…

Statistical Mechanics · Physics 2007-05-23 Hal Tasaki

Quantum thermodynamics studies how quantum systems and operations may be exploited as sources of work to perform useful thermodynamic tasks. In real-world conditions, the evolution of open quantum systems typically displays memory effects,…

Quantum Physics · Physics 2025-05-30 Guilherme Zambon , Gerardo Adesso
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