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Carnot's theorem poses a fundamental limit on the maximum efficiency achievable from an engine that works between two reservoirs at thermal equilibrium. We extend this result to the case of arbitrary nonthermal stationary reservoirs, even…

Quantum Physics · Physics 2011-11-23 Simone De Liberato , Masahito Ueda

We consider quantum heat engines that operate between nonequilibrium stationary reservoirs. We evaluate their maximum efficiency from the positivity of the entropy production and show that it can be expressed in terms of an effective…

Quantum Physics · Physics 2014-09-29 Obinna Abah , Eric Lutz

Standard heat machines (engine, heat pump, refrigerator) are composed of a system ("working fluid") coupled to at least two equilibrium baths at different temperatures and periodically driven by an external device (piston or rotor) called…

Quantum Physics · Physics 2015-11-26 Rober Alicki , David Gelbwaser-Klimovsky

Quantum heat cycles and quantum refrigerators are analyzed using various quantum systems as their working mediums. For example, to evaluate the efficiency and the work done of the Carnot cycle in the quantum regime, one can consider the…

Quantum Physics · Physics 2021-09-15 Pritam Chattopadhyay , Tanmoy Pandit , Ayan Mitra , Goutam Paul

We investigate, in an analytical fashion, quantum Carnot cycles of a microscopic heat engine coupled to two nite heat reservoirs, whose internal cycles could own higher e ciency than the standard Carnot limit without consuming extra quantum…

Statistical Mechanics · Physics 2024-09-04 L. -L. Yan , M. -R. Yun , M. Li , S. -L. Su , K. -F. Cui , Gang Chen , M. Feng

We derive a bound on the efficiency of thermal engines that can be sharper than Carnot's limit. It is a function of statistical correlations between the engine internal state and Hamiltonian, can be saturated even in finite-time cycles, and…

Quantum Physics · Physics 2026-04-14 Anna Gabetti , Fabrizio Dolcini , Davide Girolami

Quantum heat engines employ as working agents multi-level systems instead of gas-filled cylinders. We consider particularly two-level agents such as electrons immersed in a magnetic field. Work is produced in that case when the electrons…

Quantum Physics · Physics 2007-05-23 Jacques Arnaud , Laurent Chusseau , Fabrice Philippe

Diverse models of engines energised by quantum-coherent, hence non-thermal, baths allow the engine efficiency to transgress the standard thermodynamic Carnot bound. These transgressions call for an elucidation of the underlying mechanisms.…

We discuss whether, and under which conditions, it is possible to realize a heat engine simply by dynamically modulating the couplings between the quantum working medium and thermal reservoirs. For that purpose, we consider the paradigmatic…

Various quantum systems are considered as the working substance for the analysis of quantum heat cycles and quantum refrigerators. The ongoing technological challenge is how efficiently can a heat engine convert thermal energy to mechanical…

Quantum Physics · Physics 2020-03-16 Pritam Chattopadhyay

We derive an efficiency bound for continuous quantum heat engines absorbing heat from squeezed thermal reservoirs. Our approach relies on a full-counting statistics description of nonequilibrium transport and it is not limited to the…

Statistical Mechanics · Physics 2018-02-05 Bijay Kumar Agarwalla , Jian-Hua Jiang , Dvira Segal

We propose a scheme for a quantum thermal machine made by atoms interacting with a single non-equilibrium electromagnetic field. The field is produced by a simple configuration of macroscopic objects held at thermal equilibrium at different…

Quantum Physics · Physics 2015-06-23 Bruno Leggio , Bruno Bellomo , Mauro Antezza

Heat is a physical manifestation of entropy, where the removal of entropy from a thermal energy reservoir permits the conversion of heat into work. This entropy transfer is facilitated by the cold thermal energy reservoir in typical heat…

Quantum Physics · Physics 2025-11-12 Liam Judd McClelland

Following the result by Skrzypczyk et al., arXiv:1009.0865, that certain self-contained quantum thermal machines can reach Carnot efficiency, we discuss the functioning of self-contained quantum thermal machines and show, in a very general…

Quantum Physics · Physics 2010-09-15 Sandu Popescu

Based on quantum thermodynamic processes, we make a quantum-mechanical (QM) extension of the typical heat engine cycles, such as the Carnot, Brayton, Otto, and Diesel cycles, etc. The temperature is not included in these QM engine cycles,…

Statistical Mechanics · Physics 2013-02-05 Jianhui Wang , Yongli Ma , Jizhou He

The laws of thermodynamics strongly restrict the performance of thermal machines. Standard thermodynamics, initially developed for uncorrelated macroscopic systems, does not hold for microscopic systems correlated with their environments.…

Quantum Physics · Physics 2025-11-13 Milton Aguilar , Eric Lutz

We consider a class of quantum heat engines consisting of two subsystems interacting via a unitary transformation and coupled to two separate baths at different temperatures $T_h > T_c$. The purpose of the engine is to extract work due to…

Statistical Mechanics · Physics 2009-11-13 Armen E. Allahverdyan , Ramandeep S. Johal , Guenter Mahler

Continuous particle exchange thermal machines require no time-dependent driving, can be realised in solid-state electronic devices, and miniaturised to nanometre scale. Quantum dots, providing a narrow energy filter and allowing to…

Mesoscale and Nanoscale Physics · Physics 2025-12-18 Eugenia Pyurbeeva , Ronnie Kosloff

A quantum-mechanical analog of the Carnot engine reversibly working at vanishing temperature, shortly termed the quantum-mechanical Carnot engine, is discussed. A general formula for the efficiency of such an engine with an arbitrary…

Statistical Mechanics · Physics 2013-04-18 Sumiyoshi Abe

The Carnot theorem, one expression of the second law of thermodynamics, places a fundamental upper bound on the efficiency of heat engines operating between two heat baths. The Carnot theorem can be stated in a more generalized form for…

Statistical Mechanics · Physics 2022-06-03 Yuki Izumida
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