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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

We apply a simple sudden quench approximation for the unitary work strokes of a quantum Otto engine in order to provide a general analysis of its performance, applicable to arbitrary quantum models with two-body interactions. This work…

Quantum Gases · Physics 2025-09-17 R. S. Watson , K. V. Kheruntsyan

Nanoscale machines are strongly influenced by thermal fluctuations, contrary to their macroscopic counterparts. As a consequence, even the efficiency of such microscopic machines becomes a fluctuating random variable. Using geometric…

Statistical Mechanics · Physics 2019-04-16 Sreekanth K Manikandan , Lennart Dabelow , Ralf Eichhorn , Supriya Krishnamurthy

After a brief historical perspective, we introduce the key notions of work and heat for quantum systems, to then apply them to quantum engines operating on quantum Otto and Carnot cycles. The irreversible and dissipative character of the…

Quantum Physics · Physics 2026-01-01 Camille L Latune

We study the performance of a quantum Otto cycle using a harmonic work medium and undergoing collisional dynamics with finite-size reservoirs. We span the dynamical regimes of the work strokes from strongly non-adiabatic to quasi-static…

Quantum Physics · Physics 2019-02-19 Marco Pezzutto , Mauro Paternostro , Yasser Omar

The efficiency of any heat engine, defined as the ratio of average work output to heat input, is bounded by Carnot's celebrated result. However, this measure is insufficient to characterize the properties of miniaturized heat engines…

We assess the energy cost of shortcuts to adiabatic expansions or compressions of a harmonic oscillator, the power strokes of a quantum Otto engine. Difficulties to identify the cost stem from the interplay between different parts of the…

Quantum Physics · Physics 2020-01-08 Ander Tobalina , Ion Lizuain , J. Gonzalo Muga

We present a detailed study of an asymmetrically driven quantum Otto engine with a time-dependent harmonic oscillator as its working medium. We obtain analytic expressions for the upper bounds on the efficiency of the engine for two…

Quantum Physics · Physics 2023-10-11 Varinder Singh , Vahid Shaghaghi , Tanmoy Pandit , Cameron Beetar , Giuliano Benenti , Dario Rosa

We investigate quantum Otto engine and refrigeration cycles of a time-dependent harmonic oscillator operating under the conditions of maximum $\Omega$-function, a trade-off objective function which represents a compromise between energy…

Quantum Physics · Physics 2022-09-14 Varinder Singh , Satnam Singh , Obinna Abah , Özgür E. Müstecaplıoğlu

We study a driven harmonic oscillator operating an Otto cycle between two thermal baths of finite size. By making extensive use of the tools of Gaussian quantum mechanics, we directly simulate the dynamics of the engine as a whole, without…

Quantum Physics · Physics 2018-04-19 Alejandro Pozas-Kerstjens , Eric G. Brown , Karen V. Hovhannisyan

We investigate the stochastic dynamics of a thermal machine realized by a fast-driven Otto cycle. By employing a stochastic approach, we find that system coherences strongly affect fluctuations depending on the thermodynamic current.…

Mesoscale and Nanoscale Physics · Physics 2023-06-07 Ana Laura Gramajo , Elisabetta Paladino , Jukka Pekola , Rosario Fazio

We employ the recently developed framework of the energetics of stochastic processes (called `stochastic energetics'), to re-analyze the Carnot cycle in detail, taking account of fluctuations, without taking the thermodynamic limit. We find…

Statistical Mechanics · Physics 2009-10-31 Ken Sekimoto , Fumiko Takagi , Tsuyoshi Hondou

Based on the notion of quantum trajectory, we present a stochastic theoretical framework for Floquet quantum heat engines. As an application, the large deviation functions of two types of stochastic efficiencies for a two-level Floquet…

Statistical Mechanics · Physics 2020-07-14 Fei Liu , Shanhe Su

To optimize the performance of a heat engine in finite-time cycle, it is important to understand the finite-time effect of thermodynamic processes. Previously, we have shown that extra work is needed to complete a quantum adiabatic process…

Quantum Physics · Physics 2019-10-09 Jin-Fu Chen , Chang-Pu Sun , Hui Dong

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

Stability is an important property of small thermal machines with fluctuating power output. We here consider a finite-time quantum Carnot engine based on a degenerate multilevel system and study the influence of its finite Hilbert space…

Statistical Mechanics · Physics 2021-08-18 Tobias Denzler , Eric Lutz

The full optimization of a quantum heat engine requires operating at high power, high efficiency, and high stability (i.e. low power fluctuations). However, these three objectives cannot be simultaneously optimized - as indicated by the…

Quantum Physics · Physics 2023-05-04 Paolo Andrea Erdman , Alberto Rolandi , Paolo Abiuso , Martí Perarnau-Llobet , Frank Noé

In this paper we investigate the power fluctuations in a driven, dampted pendulum. When the motion of the pendulum is chaotic, the average power supplied by the driving force is equal to the average dissipated power only for an infinite…

Chaotic Dynamics · Physics 2007-05-23 Yadin Y. Goldschmidt

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

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,…

Statistical Mechanics · Physics 2019-09-04 Hadrien Vroylandt , David Lacoste , Gatien Verley