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Understanding thermodynamics far from equilibrium at the quantum scale remains a fundamental challenge, particularly in the presence of quantum coherence. Here we develop a first-principles framework for nonequilibrium quantum…

Quantum Physics · Physics 2026-02-11 Md Manirul Ali , Po-Wen Chen

A quantum two-level system with periodically modulated energy splitting could provide a minimal universal quantum heat machine. We present the experimental realization and the theoretical description of such a two-level system as an…

Mesoscale and Nanoscale Physics · Physics 2020-10-21 K. Ono , S. N. Shevchenko , T. Mori , S. Moriyama , Franco Nori

A long standing open problem whether a heat engine with finite power achieves the Carnot efficiency is investigated. We rigorously prove a general trade-off inequality on thermodynamic efficiency and time interval of a cyclic process with…

Statistical Mechanics · Physics 2017-08-18 Naoto Shiraishi , Hiroyasu Tajima

The seminal work by Sadi Carnot in the early nineteenth century provided the blueprint of a reversible heat engine and the celebrated second law of thermodynamics eventually followed. Almost two centuries later, the quest to formulate a…

Quantum Physics · Physics 2021-12-09 Sourav Bhattacharjee , Amit Dutta

Toward the formulation of the operational approach to quantum thermodynamics, the heat-up operator is explicitly constructed. This quantum operation generates for a generic system an irreversible transformation from a pure ground state at…

Statistical Mechanics · Physics 2010-10-07 Mozhgan Sabzehzari , Yuki Aoyaghi , Sumiyoshi Abe

Thermodynamics plays an important role both in the foundations of physics and in technological applications. An operational perspective adopted in recent years is to formulate it as a quantum resource theory. At the core of this theory is…

Quantum Physics · Physics 2023-12-13 Thomas Theurer , Elia Zanoni , Carlo Maria Scandolo , Gilad Gour

Quantum coherence has been demonstrated in various systems including organic solar cells and solid state devices. In this letter, we report the lower and upper bounds for the performance of quantum heat engines determined by the efficiency…

Quantum Physics · Physics 2018-04-18 Konstantin E. Dorfman , Dazhi Xu , Jianshu Cao

Deriving the laws of thermodynamics from a microscopic picture is a central quest of statistical mechanics. This tutorial focuses on the derivation of the first and second law for closed and open quantum systems far from equilibrium, where…

Quantum Physics · Physics 2021-08-31 Philipp Strasberg , Andreas Winter

The first law of thermodynamics imposes not just a constraint on the energy-content of systems in extreme quantum regimes, but also symmetry-constraints related to the thermodynamic processing of quantum coherence. We show that this…

Quantum Physics · Physics 2015-04-15 Matteo Lostaglio , Kamil Korzekwa , David Jennings , Terry Rudolph

One of the fundamental questions in quantum thermodynamics concerns the decomposition of energetic changes into heat and work. Contrary to classical engines, the entropy change of the piston cannot be neglected in the quantum domain. As a…

Quantum Physics · Physics 2019-10-15 Wolfgang Niedenzu , Marcus Huber , Erez Boukobza

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

We present the general theory of a quantum heat machine based on an $N$-level system (working medium) whose $N-1$ excited levels are degenerate, a prerequisite for steady-state interlevel coherence. Our goal is to find out: To what extent…

Quantum Physics · Physics 2015-10-14 Wolfgang Niedenzu , David Gelbwaser-Klimovsky , Gershon Kurizki

The second law of thermodynamics constrains that the efficiency of heat engines, classical or quantum, cannot be greater than the universal Carnot efficiency. We discover another bound for the efficiency of a quantum Otto heat engine…

Statistical Mechanics · Physics 2019-08-07 Jong-Min Park , Sangyun Lee , Hyun-Myung Chun , Jae Dong Noh

We argue that thermal machines can be understood from the perspective of `virtual qubits' at `virtual temperatures': The relevant way to view the two heat baths which drive a thermal machine is as a composite system. Virtual qubits are…

Quantum Physics · Physics 2012-08-14 Nicolas Brunner , Noah Linden , Sandu Popescu , Paul Skrzypczyk

A central building block of a heat engine is the working fluid, which mediates the conversion of heat into work. In nanoscale heat engines, the working fluid can be a quantum system whose behavior and dynamics are non-classical. A…

Quantum Physics · Physics 2026-01-29 Riya Baruah , Pedro Portugal , Jun-Zhe Chen , Joachim Wabnig , Christian Flindt

Quantum heat engines are modeled by thermodynamic cycles with quantum-mechanical working media. Since high engine efficiencies require adiabaticity, a major challenge is to yield a nonvanishing power output at finite cycle times. Shortcuts…

Quantum Physics · Physics 2020-05-13 Andreas Hartmann , Victor Mukherjee , Wolfgang Niedenzu , Wolfgang Lechner

The possibility of utilizing quantum effects to enhance the performance of quantum heat engines has been an active topic of research, but how to enhance the performance by optimizing the engine parameters needs to be further studied. In…

Quantum Physics · Physics 2023-04-17 Gao-xiang Deng , Wei Shao , Yu Liu , Zheng Cui

A key quantity characterizing a time-periodically forced quantum system coupled to a heat bath is the energy flowing in the steady state through the system into the bath, where it is dissipated. We derive a general expression which allows…

Quantum Physics · Physics 2015-06-18 Matthias Langemeyer , Martin Holthaus

Quantum thermodynamics investigates how robust the second law of thermodynamics serves as the unique fundamental law in the small quantum world. To tackle this problem, the quantum coherence constitutes a major difficulty of investigations,…

Quantum Physics · Physics 2025-10-08 Naoto Shiraishi , Ryuji Takagi

The Szilard engine (SZE) is the quintessence of Maxwell's demon, which can extract the work from a heat bath by utilizing information. We present the first complete quantum analysis of the SZE, and derive an analytic expression of the…

Quantum Physics · Physics 2011-02-23 Sang Wook Kim , Takahiro Sagawa , Simone De Liberato , Masahito Ueda
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