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We study the efficiency at maximum power, $\eta^*$, of engines performing finite-time Carnot cycles between a hot and a cold reservoir at temperatures $T_h$ and $T_c$, respectively. For engines reaching Carnot efficiency $\eta_C=1-T_c/T_h$…

Statistical Mechanics · Physics 2015-05-19 Massimiliano Esposito , Ryoichi Kawai , Katja Lindenberg , Christian Van den Broeck

Quantum thermodynamic relationships in emerging nanodevices are significant but often complex to deal with. The application of machine learning in quantum thermodynamics has provided a new perspective. This study employs reinforcement…

Quantum Physics · Physics 2024-03-06 Gao-xiang Deng , Haoqiang Ai , Bingcheng Wang , Wei Shao , Yu Liu , Zheng Cui

The characterization and control of quantum effects in the performance of thermodynamic tasks may open new avenues for small thermal machines working in the nanoscale. We study the impact of coherence in the energy basis in the operation of…

Quantum Physics · Physics 2021-04-14 Kenza Hammam , Yassine Hassouni , Rosario Fazio , Gonzalo Manzano

The minimal-coupling quantum heat engine is a thermal machine consisting of an explicit energy storage system, heat baths, and a working body, which alternatively couples to subsystems through discrete strokes -- energy-conserving two-body…

Quantum Physics · Physics 2021-01-01 Marcin Łobejko , Paweł Mazurek , Michał Horodecki

The widely debated feasibility of thermodynamic machines achieving Carnot efficiency at finite power has been convincingly dismissed. Yet, the common wisdom that efficiency can only be optimal in the limit of infinitely-slow processes…

Statistical Mechanics · Physics 2017-07-28 Matteo Polettini , Massimiliano Esposito

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

When a Brownian particle in contact with a heat bath at a constant temperature is controlled by a time-dependent harmonic potential, its distribution function can be rigorously derived from the Kramers equation with the consideration of the…

Statistical Mechanics · Physics 2014-06-03 Z. C. Tu

In a quantum Stirling heat engine, the heat exchanged with two thermal baths is partly utilized for performing work by redistributing the energy levels of the working substance. We analyze the thermodynamics of a quantum Stirling engine…

Quantum Physics · Physics 2023-08-01 Debmalya Das , George Thomas , Andrew N. Jordan

In systems described by the scattering theory, there is an upper bound, lower than Carnot, on the efficiency of steady-state heat to work conversion at a given output power. We show that interacting systems can overcome such bound and…

Statistical Mechanics · Physics 2018-08-27 Rongxiang Luo , Giuliano Benenti , Giulio Casati , Jiao Wang

We consider the efficiency at maximum power of a quantum Otto engine, which uses a spin or a harmonic system as its working substance and works between two heat reservoirs at constant temperatures $T_h$ and $T_c$ $ (<T_h)$. Although the…

Statistical Mechanics · Physics 2015-06-22 Feilong Wu , Jizhou He , Yongli Ma , Jianhui Wang

According to Thermodynamics, the efficiency of a heat engine is upper bounded by Carnot efficiency. For macroscopic systems, the Carnot efficiency is, however, achieved only for quasi static processes. And, considerable attention has been…

Statistical Mechanics · Physics 2023-05-03 Takaaki Monnai

Achieving the Carnot efficiency at finite power is a challenging problem in heat engines due to the trade-off relation between efficiency and power that holds for general heat engines. It is pointed out that the Carnot efficiency at finite…

Statistical Mechanics · Physics 2022-03-03 Kosuke Miura , Yuki Izumida , Koji Okuda

Thermodynamics of nanoscale devices is an active area of research. Despite their noisy surrounding they often produce mechanical work (e.g. micro-heat engines), display rectified Brownian motion (e.g. molecular motors). This invokes…

Statistical Mechanics · Physics 2018-12-05 Arnab Saha , Rahul Marathe , P. S. Pal , A. M. Jayannavar

We explore the thermodynamics of stochastic heat engines in presence of stochastic resetting. The set-up comprises an engine whose working substance is a Brownian particle undergoing overdamped Langevin dynamics in a harmonic potential with…

Statistical Mechanics · Physics 2024-01-24 Sourabh Lahiri , Shamik Gupta

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

A specific class of stochastic heat engines driven cyclically by time-dependent potential, which is defined in the half-line ($0<x<+\infty$), is analysed. For such engines, most of their physical quantities can be obtained explicitly,…

Statistical Mechanics · Physics 2020-02-18 Yunxin Zhang

We explore the dependence of the performance bounds of heat engines and refrigerators on the initial quantum state and the subsequent evolution of their piston, modeled by a quantized harmonic oscillator. Our goal is to provide a fully…

Quantum Physics · Physics 2015-06-17 David Gelbwaser-Klimovsky , Gershon Kurizki

The efficient conversion of thermal energy to mechanical work by a heat engine is an ongoing technological challenge. Since the pioneering work of Carnot, it is known that the efficiency of heat engines is bounded by a fundamental upper…

Mesoscale and Nanoscale Physics · Physics 2017-09-20 Jan Klaers , Stefan Faelt , Atac Imamoglu , Emre Togan

The efficiency at maximum power has been investigated extensively, yet the practical control scheme to achieve it remains elusive. We fill such gap with a stepwise Carnot-like cycle, which consists the discrete isothermal process (DIP) and…

Quantum Physics · Physics 2018-08-29 Yu-Han Ma , Dazhi Xu , Hui Dong , Chang-Pu Sun

We put forward four schemes of coupled-qubit quantum Otto machine, a generalization of the single-qubit quantum Otto machine, based on work and heat transfer between an internal system consisting of a coupled pair of qubits and an external…

Quantum Physics · Physics 2024-09-12 Jingyi Gao , Naomichi Hatano
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