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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

Extracting work from quantum system is one of the important areas in quantum thermodynamics. As a significant thermodynamic quantity, the ergotropy gap characterizes the difference between the global and local maximum extractable works. We…

Quantum Physics · Physics 2022-07-26 Ya-Juan Wu , Shao-Ming Fei , Zhi-Xi Wang , Ke Wu

Extracting useful work from quantum systems is a fundamental problem in quantum thermodynamics. In scenarios where rapid protocols are desired -- whether due to practical constraints or deliberate design choices -- a fundamental trade-off…

Quantum Physics · Physics 2026-04-23 Shoki Sugimoto , Takahiro Sagawa , Ryusuke Hamazaki

We investigate the problem of finding the local analogue of the ergotropy, that is the maximum work that can be extracted from a system if we can only apply local unitary transformation acting on a given subsystem. In particular, we provide…

Quantum Physics · Physics 2023-10-31 Raffaele Salvia , Giacomo De Palma , Vittorio Giovannetti

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

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

Going beyond isolated system dynamics, we examine how local and spatially correlated reservoirs influence the work extraction in quantum batteries. By employing a one-dimensional spin-1/2 model coupled to baths via dephasing and…

Quantum Physics · Physics 2025-09-30 Sejal Ahuja , Tanoy Kanti Konar , Aditi Sen De

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

The concept of ergotropy was previously introduced as the maximum extractable work from a quantum state. Its enhancement, which is induced by quantum correlation via projective measurement, was formulated as the daemonic ergotropy. In this…

Quantum Physics · Physics 2023-09-06 Mohammad Ali Balkanlu , Esfandyar Faizi , Bahram Ahansaz

The possibility of extracting more work from a physical system thanks to the information obtained from measurements has been a topic of fundamental interest in the context of thermodynamics since the formulation of the Maxwell's demon…

Quantum Physics · Physics 2025-03-31 Seyed Navid Elyasi , Matteo A. C. Rossi , Marco G. Genoni

Understanding the role of classical and quantum correlations in work extraction is a problem of fundamental importance in thermodynamics. We approach this problem by considering that, in closed quantum systems, the maximum cyclic work…

Quantum Physics · Physics 2022-05-18 Gianluca Francica

Deterministic chaotic dynamics presumes that the state space can be partitioned arbitrarily finely. In a physical system, the inevitable presence of some noise sets a finite limit to the finest possible resolution that can be attained. Much…

Chaotic Dynamics · Physics 2016-12-07 Predrag Cvitanovic , Domenico Lippolis

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

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

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

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

In this thesis we aim to analyze and quantify the energetic and information contents that can be extracted from a dynamical system subject to the external environment. The latter is usually assumed to be deleterious for the feasibility of…

Quantum Physics · Physics 2018-05-07 Stefano Gherardini

We consider stationary stochastic dynamical systems evolving on a compact metric space, by perturbing a deterministic dynamics with a random noise, added according to an arbitrary probabilistic distribution. We prove the maximal and…

Dynamical Systems · Mathematics 2018-07-10 Eleonora Catsigeras

Recently, the concept of daemonic ergotropy has been introduced to quantify the maximum energy that can be obtained from a quantum system through an ancilla-assisted work extraction protocol based on information gain via projective…

Quantum Physics · Physics 2019-08-12 Fabian Bernards , Matthias Kleinmann , Otfried Gühne , Mauro Paternostro

We theoretically identify the noise-induced coherent contribution to the ergotropy of a four-level quantum heat engine coupled to a unimodal quantum cavity. We utilize a protocol where the passive state's quasiprobabilities can be…

Quantum Physics · Physics 2024-04-10 Manash Jyoti Sarmah , Himangshu Prabal Goswami