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Thermodynamics is traditionally concerned with systems comprised of a large number of particles. Here we present a framework for extending thermodynamics to individual quantum systems, including explicitly a thermal bath and work-storage…

Quantum Physics · Physics 2014-09-29 Paul Skrzypczyk , Anthony J. Short , Sandu Popescu

Quantum coherence, encoded in the off-diagonal elements of a system's density matrix, is a key resource in quantum thermodynamics, fundamentally limiting the maximum extractable work known as ergotropy. While previous experiments have…

Quantum Physics · Physics 2025-12-04 Li Li , Silu Zhao , Yun-Hao Shi , Kai Xu , Heng Fan , Dongning Zheng , Zhongcheng Xiang

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

Quantum thermodynamics is often formulated as a theory with constrained access to operations and resources. In this manuscript, we find a closed formula for the Gaussian ergotropy, i.e. the maximum energy that can be extracted from bosonic…

Work extraction in quantum finite systems is an important issue in quantum thermodynamics. The optimal work extracted is called ergotropy, and it is achieved by maximizing the average work extracted over all the unitary cycles. However, an…

Quantum Physics · Physics 2024-04-10 Gianluca Francica , Luca Dell'Anna

Evaluating the maximum amount of work extractable from a nanoscale quantum system is one of the central problems in quantum thermodynamics. Previous works identified the free energy of the input state as the optimal rate of extractable work…

Quantum Physics · Physics 2026-03-06 Kaito Watanabe , Ryuji Takagi

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

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

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

We consider the amount of work which can be extracted from a heat bath using a bipartite state shared by two parties. In general it is less then the amount of work extractable when one party is in possession of the entire state. We derive…

Quantum Physics · Physics 2009-11-07 Jonathan Oppenheim , Michal Horodecki , Pawel Horodecki , Ryszard Horodecki

The study of quantum thermodynamics aims to elucidate the role played by quantum principles in the emergent features of quantum thermodynamic processes. Specifically, it is of fundamental importance to understand how quantum correlation…

Quantum Physics · Physics 2025-08-13 Jaewon Lee , Changsuk Noh , Kabgyun Jeong , Hyunchul Nha

Quantum thermodynamics and quantum information are two frameworks for employing quantum mechanical systems for practical tasks, exploiting genuine quantum features to obtain advantages with respect to classical implementations. While…

Quantum Physics · Physics 2019-05-28 Giuseppe Vitagliano , Claude Klöckl , Marcus Huber , Nicolai Friis

Information and correlations in a quantum system are closely related through the process of measurement. We explore such relation in a many-body quantum setting, effectively bridging between quantum metrology and condensed matter physics.…

Quantum Physics · Physics 2012-06-20 Luigi Amico , Davide Rossini , Alioscia Hamma , Vladimir E. Korepin

Quantum correlation, or entanglement, is now believed to be an indispensable physical resource for certain tasks in quantum information processing, for which classically correlated states cannot be useful. Besides information processing,…

Quantum Physics · Physics 2009-11-10 K. Maruyama , F. Morikoshi , V. Vedral

We investigate the extraction of thermodynamic work by a Maxwell's demon in a multipartite quantum correlated system. We begin by adopting the standard model of a Maxwell's demon as a Turing machine, either in a classical or quantum setup…

Quantum Physics · Physics 2014-12-10 Helena C. Braga , Clodoaldo C. Rulli , Thiago R. de Oliveira , Marcelo S. Sarandy

Nonlocality is a defining feature of quantum mechanics and has long served as a key indicator of quantum resources since the formulation of Bell's inequalities. Identifying the contribution of nonlocality to extractable work remains a…

Quantum Physics · Physics 2025-12-17 B. Vigneshwar , R. Sankaranarayanan

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

We analyze work extraction protocols using the long-lived quantum coherence of a three-level quantum system, which is coupled to a thermal bath through dipole-monopole interactions. We identify situations where persistent quantum coherence…

Quantum Physics · Physics 2025-08-05 Wenjing Chen , Si-Wei Han , Xiaoshan Feng , Jun Feng

We show that the maximum extractable work (ergotropy) from a quantum many-body system is constrained by local athermality of an initial state and local entropy decrease brought about by quantum operations. The obtained universal upper bound…

Quantum Physics · Physics 2025-01-31 Akihiro Hokkyo , Masahito Ueda

"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