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From an entropy-based formulation of the first law of thermodynamics in the quantum regime, we investigate the performance of Otto-like and Carnot-like engines for a single-qubit working medium. Within this framework, the first law includes…

We determine the statistics of work in isothermal volume changes of a classical ideal gas consisting of a single particle. Combining our results with the findings of Lua and Grosberg [J. Chem. Phys. B 109, 6805 (2005)] on adiabatic…

统计力学 · 物理学 2015-06-15 Johannes Hoppenau , Markus Niemann , Andreas Engel

We show that a Carnot cycle operating between a positive canonical-temperature bath and a negative canonical-temperature bath has efficiency equal to unity. It follows that a negative canonical-temperature cannot be identified with an…

统计力学 · 物理学 2016-06-17 Michele Campisi

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…

统计力学 · 物理学 2018-02-05 Bijay Kumar Agarwalla , Jian-Hua Jiang , Dvira Segal

Classical thermodynamics aimed to quantify the efficiency of thermodynamic engines by bounding the maximal amount of mechanical energy produced compared to the amount of heat required. While this was accomplished early on, by Carnot and…

最优化与控制 · 数学 2020-01-22 Rui Fu , Amirhossein Taghvaei , Yongxin Chen , Tryphon T. Georgiou

We have studied the single particle heat engine and refrigerator driven by time asymmetric protocol of finite duration. Our system consists of a particle in a harmonic trap with time-periodic strength that drives the particle cyclically…

统计力学 · 物理学 2016-12-21 P. S. Pal , Arnab Saha , A. M. Jayannavar

In this paper, we derive a number of inequalities which express power-efficiency trade-offs that hold generally for thermodynamic machines operating in non-equilibrium stationary states. One of these inequalities concerns the output power,…

统计力学 · 物理学 2019-09-04 Hadrien Vroylandt , David Lacoste , Gatien Verley

It is possible to extract work from a quantum-mechanical system whose dynamics is governed by a time-dependent cyclic Hamiltonian. An energy bath is required to operate such a quantum engine in place of the heat bath used to run a…

量子物理 · 物理学 2009-11-07 C. M. Bender , D. C. Brody , B. K. Meister

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 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…

统计力学 · 物理学 2023-01-11 Kirandeep Kaur , Anmol Jain , Love Sahajbir Singh , Rakesh Singla , Shishram Rebari

This work investigates a relativistic quantum Otto engine with a harmonic oscillator as its working medium, analyzing how relativistic motion and nonadiabatic driving affect its performance and efficiency bounds. In the adiabatic regime, a…

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…

统计力学 · 物理学 2020-11-11 Varinder Singh

We evaluate the efficiency at maximum power of a quantum-dot Carnot heat engine. The universal value of the coefficients at the linear and quadratic order in the temperature gradient are reproduced. Curzon-Ahlborn efficiency is recovered in…

We use the general formulation of irreversible thermodynamics and study the minimally nonlinear irreversible model of heat engines operating between a time-varying hot heat source of finite size and a cold heat reservoir of infinite size.…

统计力学 · 物理学 2018-11-27 M. Ponmurugan

We study the minimally nonlinear irreversible heat engines in which the time-reversal symmetry for the systems may b e broken. The expressions for the power and the efficiency are derived, in which the effects of the nonlinear terms due to…

统计力学 · 物理学 2019-09-04 Qin Liu , Wei Li , Min Zhang , Jizhou He , Jianhui Wang

Quantum heat engines are often discussed under the weak coupling assumption that the interaction between the system and the reservoirs is negligible. Although this setup is easier to analyze, this assumption cannot be justified on the…

量子物理 · 物理学 2023-05-10 Mao Kaneyasu , Yoshihiko Hasegawa

Thermodynamic Uncertainty Relations express a trade-off between precision, defined as the noise-to-signal ratio of a generic current, and the amount of associated entropy production. These results have deep consequences for autonomous heat…

We perform an extensive analysis of passive as well as active micro-heat engines with different single-particle stochastic models. Using stochastic thermodynamics we calculate thermodynamic work, heat, entropy production and efficiency of…

统计力学 · 物理学 2022-08-17 Rita Majumdar , Arnab Saha , Rahul Marathe

A quantum heat engine of a specific type is studied. This engine contains a single particle confined in the infinite square well potential with variable width and consists of three processes: the isoenergetic process (which has no classical…

统计力学 · 物理学 2016-03-17 Congjie Ou , Sumiyoshi Abe

The Carnot statement of the second law of thermodynamics poses an upper limit on the efficiency of all heat engines. Recently, it has been studied whether generic quantum features such as coherence and quantum entanglement could allow for…

统计力学 · 物理学 2015-10-14 Bartłomiej Gardas , Sebastian Deffner