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In this article we use optimal control to maximize the efficiency of a quantum heat engine executing the Otto cycle in the presence of external noise. We optimize the engine performance for both amplitude and phase noise. In the case of…

Quantum Physics · Physics 2015-06-18 Dionisis Stefanatos

We apply advanced methods of control theory to open quantum systems and we determine finite-time processes which are optimal with respect to thermodynamic performances. General properties and necessary conditions characterizing optimal…

Quantum Physics · Physics 2018-08-01 Vasco Cavina , Andrea Mari , Alberto Carlini , Vittorio Giovannetti

Isothermal transformations are minimally dissipative but slow processes, as the system needs to remain close to thermal equilibrium along the protocol. Here, we show that smoothly modifying the system-bath interaction can significantly…

Quantum Physics · Physics 2020-07-23 Nicola Pancotti , Matteo Scandi , Mark T. Mitchison , Martí Perarnau-Llobet

A heat engine operating on the basis of the Carnot cycle is considered, where the mechanical work performed is dissipated within the engine at the temperature of the warmer isotherm and the resulting heat is added to the engine together…

Atmospheric and Oceanic Physics · Physics 2010-04-05 A. M. Makarieva , V. G. Gorshkov

We study the energestics of a thermal motor driven by temperature differences, which consists of Brownian particles moving in a sawtooth potential with an external load where the viscous medium is alternately in contact with hot and cold…

Biological Physics · Physics 2009-11-11 Baoquan Ai , Liqiu Wang , Huizhang Xie , Lianggang Liu

We present a general framework for determining the power-efficiency trade-off relations across arbitrary thermal machines, addressing the lack of unified optimization results stemming from their diverse functionalities (e.g., heat engines,…

Statistical Mechanics · Physics 2025-11-20 Yu-Han Ma , Cong Fu

Optimization of cyclic stochastic heat engines, a topic spanning decades of research, commonly assumes fixed control or response parameters at discrete points in the cycle-a limitation that often leads to experimentally impractical…

Statistical Mechanics · Physics 2025-07-02 Monojit Chatterjee , Viktor Holubec , Rahul Marathe

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 show that for systems with broken time-reversal symmetry the maximum efficiency and the efficiency at maximum power are both determined by two parameters: a "figure of merit" and an asymmetry parameter. In contrast to the time-symmetric…

Statistical Mechanics · Physics 2015-03-19 Giuliano Benenti , Keiji Saito , Giulio Casati

The pump process of the ratchet model inspired by the $F_o$ rotatory motor of ATP synthase is investigated. In this model there are two kinds of characteristic time. One is dynamical, the relaxation time of the system. Others are chemical,…

Biological Physics · Physics 2007-05-23 Hiroshi Miki , Masatoshi Sato , Mahito Kohmoto

Recent theoretical and experimental studies in quantum heat engines show that, in the quasi-static regime, it is possible to have higher efficiency than the limit imposed by Carnot, provided that engineered reservoirs are used. The…

Quantum Physics · Physics 2021-05-26 Rogério J. de Assis , J. S. Sales , Udson C. Mendes , Norton G. de Almeida

We study bounds on ratios of fluctuations in steady-state time-reversal heat engines controlled by multi affinities. In the linear response regime, we prove that the relative fluctuations (precision) of the output current (power) is always…

Statistical Mechanics · Physics 2021-11-17 Sushant Saryal , Matthew Gerry , Ilia Khait , Dvira Segal , Bijay Kumar Agarwalla

Recent advances in experimental control of colloidal systems have spurred a revolution in the production of mesoscale thermodynamic devices. Functional "textbook" engines, such as the Stirling and Carnot cycles, have been produced in…

Statistical Mechanics · Physics 2022-06-15 Adam G. Frim , Michael R. DeWeese

Fluctuations of thermodynamic quantities become non-negligible and play an important role when the system size is small. We develop finite-time thermodynamics of fluctuations in microscopic heat engines whose environmental temperature and…

Statistical Mechanics · Physics 2022-02-16 Gentaro Watanabe , Yuki Minami

We investigate the nonlinear scattering theory for quantum systems with strong Seebeck and Peltier effects, and consider their use as heat-engines and refrigerators with finite power outputs. This article gives detailed derivations of the…

Mesoscale and Nanoscale Physics · Physics 2015-03-23 Robert S. Whitney

Heat pumps have the capability for fast adjustments in power consumption with potential connections to large heating-inertia district heating networks, and are thus a very important resource for providing frequency support in low-inertia…

Systems and Control · Electrical Eng. & Systems 2025-09-30 Xin Qin , Ioannis Lestas

Developing high power density electronics requires effective and highly reliable cooling techniques with low thermal resistance and high heat removal capacity. Loop heat pipes (LHPs) are one kind of two-phase heat transfer device which can…

Fluid Dynamics · Physics 2025-09-03 Xu Huang , Geert Buckinx , Maria Rosaria Vetrano , Martine Baelmans

The difference between quantum isoenergetic process and quantum isothermal process comes from the violation of the law of equipartition of energy in the quantum regime. To reveal an important physical meaning of this fact, here we study a…

General Physics · Physics 2016-06-10 Shengnan Liu , Congjie Ou

We develop a perturbation theory of quantum (and classical) master equations with slowly varying parameters, applicable to systems which are externally controlled on a time scale much longer than their characteristic relaxation time. We…

Quantum Physics · Physics 2017-08-09 Vasco Cavina , Andrea Mari , Vittorio Giovannetti

We apply the model of minimally nonlinear irreversible heat engines developed by Izumida and Okuda [EPL {\bf 97}, 10004 (2012)] to refrigerators. The model assumes extended Onsager relations including a new nonlinear term accounting for…

Statistical Mechanics · Physics 2015-06-05 Y. Izumida , K. Okuda , A. Calvo Hernández , J. M. M. Roco