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We have performed an extensive analysis of a single particle stochastic heat engine constructed by manipulating a Brownian particle in a time dependent harmonic potential. The cycle consists of two isothermal steps at different temperatures…

Statistical Mechanics · Physics 2014-12-01 Shubhashis Rana , P. S. Pal , Arnab Saha , A. M. Jayannavar

The efficiency of cyclic heat engines is limited by the Carnot bound. This bound follows from the second law of thermodynamics and is attained by engines that operate between two thermal baths under the reversibility condition whereby the…

Quantum Physics · Physics 2019-05-01 Arnab Ghosh , Wolfgang Niedenzu , Victor Mukherjee , Gershon Kurizki

We propose a machine learning approach based on artificial neural network to gain faster insights on the role of geometric contributions to the nonequilibrium fluctuations of an adiabatically temperature-driven quantum heat engine coupled…

Quantum Physics · Physics 2019-02-06 Sajal Kumar Giri , Himangshu Prabal Goswami

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

The stochastic efficiency [G. Verley et al., Nat. Commun. 5, 4721 (2014)] was introduced to evaluate the performance of energy-conversion machines in micro-scale. However, such an efficiency generally diverges when no heat is absorbed while…

Statistical Mechanics · Physics 2022-03-02 Zhayu Fei , Jin-Fu Chen , Yu-Han Ma

In this review paper, we discuss the statistical description in non-equilibrium regimes of energy fluctuations originated by the interaction between a quantum system and a measurement apparatus applying a sequence of repeated quantum…

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

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

Quantum heat engines are subjected to quantum fluctuations related to their discrete energy spectra. Such fluctuations question the reliable operation of quantum engines in the microscopic realm. We here realize an endoreversible quantum…

Quantum Physics · Physics 2021-04-28 Quentin Bouton , Jens Nettersheim , Sabrina Burgardt , Daniel Adam , Eric Lutz , Artur Widera

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

As a fundamental measure of stability in nonequilibrium thermodynamics, fluctuations provide critical insight into the performance and reliability of heat engines. In this work, we establish universal fluctuation-dissipation bounds that…

Statistical Mechanics · Physics 2026-01-13 Ousi Pan , Zhiqiang Fan , Shunjie Zhang , Jie Li , Jincan Chen , Shanhe Su

Fluctuations strongly affect the dynamics and functionality of nanoscale thermal machines. Recent developments in stochastic thermodynamics have shown that fluctuations in many far-from-equilibrium systems are constrained by the rate of…

Quantum Physics · Physics 2021-01-29 Antoine Rignon-Bret , Giacomo Guarnieri , John Goold , Mark T. Mitchison

We derive the exact equality, referred to as the fluctuation relation for heat engines (FRHE), that relates statistics of heat extracted from one of the two heat baths and the work per one cycle of a heat engine operation. Carnot's…

Statistical Mechanics · Physics 2015-06-03 N. A. Sinitsyn

We investigate the efficiency at maximum power (EMP) of irreversible quantum Carnot engines that perform finite-time cycles between two temperature tunable baths. The temperature form we adopt can be experimentally realized in squeezed…

Quantum Physics · Physics 2017-10-19 Junjie Liu , Chang-Yu Hsieh , Jianshu Cao

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…

Statistical Mechanics · Physics 2015-10-14 Bartłomiej Gardas , Sebastian Deffner

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

Quantum cycles in established heat engines can be modeled with various quantum systems as working substances. For example, a heat engine can be modeled with an infinite potential well as the working substance to determine the efficiency and…

Quantum Physics · Physics 2021-04-15 Pritam Chattopadhyay , Ayan Mitra , Goutam Paul , Vasilios Zarikas

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

We experimentally verify the Jarzynski and W\"ojcik quantum heat exchange fluctuation relation by implementing the interferometric technique in liquid-state Nuclear Magnetic Resonance setup and study the exchange heat statistics between two…

Statistical Mechanics · Physics 2019-10-30 Soham Pal , T S Mahesh , Bijay Kumar Agarwalla

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