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According to classical Boltzmannian thermodynamics, the efficiency of a cyclic machine is strictly lower than one. Such a result is a straightforward consequence of the second principle of thermodynamics. Recent advances in the study of the…

Statistical Mechanics · Physics 2011-03-29 Duccio Fanelli , Giovanni De Ninno , Alessio Turchi

We analyze the efficiency of thermal engines (either quantum or classical) working with a single heat reservoir like atmosphere. The engine first gets an energy intake, which can be done in arbitrary non-equilibrium way e.g. combustion of…

Statistical Mechanics · Physics 2015-03-20 Pankaj Mehta , Anatoli Polkovnikov

The quantum analog of Carnot cycles in few-particle systems consists of two quantum adiabatic steps and two isothermal steps. This construction is formally justified by use of a minimum work principle. It is then shown, without relying on…

Statistical Mechanics · Physics 2015-07-22 Gaoyang Xiao , Jiangbin Gong

Heat engines near the adiabatic limit typically assume a working medium at thermal equilibrium. However, quantum many-body systems often showcase conservation laws that hinder thermalization, leading to prethermalization in exotic…

Quantum Physics · Physics 2025-11-27 Alberto Brollo , Adolfo del Campo , Alvise Bastianello

We investigate the efficiency of a quantum Carnot engine based on open quantum dynamics theory. The model includes time-dependent external fields for the subsystems controlling the isothermal and isentropic processes and for the…

Statistical Mechanics · Physics 2022-08-24 Shoki Koyanagi , Yoshitaka Tanimura

Efficiency and power are two central measures of the performance of thermal machines. We here study the power-efficiency-stability trade-off in a finite-time quantum Carnot information engine, in which an information reservoir replaces the…

Quantum Physics · Physics 2025-09-08 Milton Aguilar , Cüneyt Ünal , Eric Lutz

We introduce the resource-theoretic free energy of a quantum channel as the maximal work extractable from the channel as its output equilibrates to a thermal state and its reference system remains locally intact. It is proportional to the…

Quantum Physics · Physics 2025-10-29 Himanshu Badhani , Dhanuja G S , Siddhartha Das

Thermodynamics and information have intricate inter-relations. The justification of the fact that information is physical, is done by inter-linking information and thermodynamics - through Landauer's principle. This modern approach towards…

Quantum Physics · Physics 2018-05-29 Manabendra Nath Bera , Andreas Winter , Maciej Lewenstein

Heat engines constitute the major building blocks of modern technologies. However, conventional heat engines with higher power yield lesser efficiency and vice versa and respect various power-efficiency trade-off relations. This is also…

Quantum Physics · Physics 2022-03-04 Mohit Lal Bera , Sergi Julià-Farré , Maciej Lewenstein , Manabendra Nath Bera

Heat engines convert thermal energy into mechanical work both in the classical and quantum regimes. However, quantum theory offers genuine nonclassical forms of energy, different from heat, which so far have not been exploited in cyclic…

Equalities are generally more suitable for experimental verification than inequalities. In this work, I derive valid equalities from the Euler-Lagrange equation for the optimization of macroscopic thermodynamic averages in weakly driven…

Statistical Mechanics · Physics 2025-11-06 Pierre Nazé

The Carnot heat engine sets an upper bound on the efficiency of a heat engine. As an ideal, reversible engine, a single cycle must be performed in infinite time, and so the Carnot engine has zero power. However, there is nothing in…

High Energy Physics - Theory · Physics 2018-07-11 Clifford V. Johnson

From the thermodynamic equilibrium properties of a two-level system with variable energy-level gap $\Delta$, and a careful distinction between the Gibbs relation $dE = T dS + (E/\Delta) d\Delta$ and the energy balance equation $dE = \delta…

Quantum Physics · Physics 2014-01-22 Gian Paolo Beretta

We study the optimal performance of an endoreversible quantum dot heat engine, in which the heat transfer between the system and baths is mediated by qubits, operating under the conditions of a trade-off objective function known as maximum…

Statistical Mechanics · Physics 2023-01-11 Kirandeep Kaur , Anmol Jain , Love Sahajbir Singh , Rakesh Singla , Shishram Rebari

Based on a quantum thermodynamic protocol for shortcut to isothermality that smoothly modify the system-reservoir interaction can significantly speed up an isothermal process while keeping the overall dissipation constant [Phys. Rev. X. 10,…

Quantum Physics · Physics 2022-11-15 Yanchao Zhang , Shuang Wang

Since its inception about two centuries ago thermodynamics has sparkled continuous interest and fundamental questions. According to the second law no heat engine can have an efficiency larger than Carnot's efficiency. The latter can be…

Statistical Mechanics · Physics 2016-06-16 Michele Campisi , Rosario Fazio

Accurately describing work extraction from a quantum system is a central objective for the extension of thermodynamics to individual quantum systems. The concepts of work and heat are surprisingly subtle when generalizations are made to…

Quantum Physics · Physics 2015-03-30 Felix C. Binder , Sai Vinjanampathy , Kavan Modi , John Goold

We model a Brownian heat engine as a Brownian particle that hops in a periodic ratchet potential where the ratchet potential is coupled with a linearly decreasing background temperature. It is shown that the efficiency of such Brownian heat…

Statistical Mechanics · Physics 2016-06-29 Mesfin Asfaw Taye

A famous paper [Am. J. Phys. 43, 22 (1975)] unveiled the efficiency at maximum power (EMP) of the endo-reversible Carnot heat engine, now commonly referred to as the Curzon-Ahlborn (CA) engine, pioneering finite-time thermodynamics.…

Statistical Mechanics · Physics 2026-05-19 Xiu-Hua Zhao , Yu-Han Ma

We present a detailed study of a three-level quantum heat engine operating at maximum efficient power function, a trade-off objective function defined by the product of the efficiency and power output of the engine. First, for near…

Statistical Mechanics · Physics 2020-11-11 Varinder Singh
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