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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

The thermoelectric performance at a given output power of a voltage-probe heat engine, exposed to an external magnetic field, is investigated in linear irreversible thermodynamics. For the model, asymmetric parameter, general figures of…

Quantum Physics · Physics 2024-01-25 Zahra Sartipi , Javad Vahedi

We investigate the finite time thermodynamics of a single-level fermion system interacting with a thermal reservoir through a tunneling junction. The optimal protocol to extract the maximum work from the system when moving the single energy…

Statistical Mechanics · Physics 2015-05-14 Massimiliano Esposito , Ryoichi Kawai , Katja Lindenberg , Christian Van den Broeck

We present a detailed analysis of slowly driven quantum thermal machines based on interacting qubits within the framework of the Lindblad master equation. By implementing a systematic expansion in the driving rate, we derive explicit…

Quantum Physics · Physics 2026-05-27 Gerónimo J. Caselli , Luis O. Manuel , Liliana Arrachea

Heat-Bath Algorithmic Cooling is a set of techniques for producing highly pure quantum systems by utilizing a surrounding heat-bath and unitary interactions. These techniques originally used the thermal environment only to fully thermalize…

Quantum Physics · Physics 2019-11-13 Álvaro M. Alhambra , Matteo Lostaglio , Christopher Perry

We consider a small Hamiltonian system strongly interacting with a much larger Hamiltonian system (the bath), while being driven by both a time-dependent control parameter and non-conservative forces. The joint system is assumed to be…

Statistical Mechanics · Physics 2025-07-15 Xiangjun Xing

Theoretical treatments of periodically-driven quantum thermal machines (PD-QTMs) are largely focused on the limit-cycle stage of operation characterized by a periodic state of the system. Yet, this regime is not immediately accessible for…

Quantum Physics · Physics 2021-11-16 Junjie Liu , Kenneth A. Jung , Dvira Segal

We consider a simple model of a stochastic heat engine, which consists of a single Brownian particle moving in a one-dimensional periodically breathing harmonic potential. Overdamped limit is assumed. Expressions of second moments…

Statistical Mechanics · Physics 2022-05-04 Shinji Iida , Koki Negoro , Kanta Yamada

Based on a quantum thermodynamic protocol for shortcut to isothermality that smoothly modify the system-reservoir interaction can significantly speed up an isothermal process while keeping the overall dissipation constant [Phys. Rev. X. 10,…

Quantum Physics · Physics 2022-11-15 Yanchao Zhang , Shuang Wang

We present a measurement-based quantum thermal machine that extracts work from the back-action of generalized quantum measurements whose working medium is a coupled two-level quantum system. Specifically, we derive universal optimization…

Quantum Physics · Physics 2026-03-27 Chinonso Onah , Obinna Uzoh , Obinna Abah

For periodically driven systems, we derive a family of inequalities that relate entropy production with experimentally accessible data for the mean, its dependence on driving frequency, and the variance of a large class of observables. With…

Statistical Mechanics · Physics 2019-06-25 Timur Koyuk , Udo Seifert

The performance in finite time of a discrete heat engine with internal friction is analyzed. The working fluid of the engine is composed of an ensemble of noninteracting two level systems. External work is applied by changing the external…

Chemical Physics · Physics 2009-11-06 Tova Feldmann , Ronnie Kosloff

The nonequilibrium thermodynamics feature of a Brownian motor is investigated by obtaining exact time-dependent solutions. This in turn enables us to investigate not only the long time property (steady-state) but also the short time the…

Statistical Mechanics · Physics 2022-05-23 Mesfin Taye

We study the unitary time evolution of a simple quantum Hamiltonian describing a heat engine coupled to two heat baths. The engine is modeled as a three-level system. Each heat bath consists of a single harmonic oscillator. The engine is…

Mathematical Physics · Physics 2013-06-27 Winny O'Kelly de Galway , Jan Naudts

We propose a general framework to study transformations that drive an underdamped Brownian particle in contact with a thermal bath from an equilibrium state to a new one in an arbitrarily short time. To this end, we make use of a time and…

Statistical Mechanics · Physics 2019-01-21 Marie Chupeau , Sergio Ciliberto , David Guéry-Odelin , Emmanuel Trizac

We provide a consistent thermodynamic analysis of stochastic thermal engines driven by finite-size reservoirs, which are in turn coupled to infinite-size reservoirs. We consider a cyclic operation mode, where the working medium couples…

Statistical Mechanics · Physics 2026-01-27 Iago N. Mamede , Saulo V. Moreira , Mark T. Mitchison , Carlos E. Fiore

When engineering microscopic machines, increasing efficiency can often come at a price of reduced reliability due to the impact of stochastic fluctuations. Here we develop a general method for performing multi-objective optimisation of…

Quantum Physics · Physics 2021-01-04 Harry J. D. Miller , Mohammad Mehboudi

Given a quantum heat engine that operates in a cycle that reaches maximal efficiency for a time-dependent Hamiltonian H(t) of the working substance, with overall controllable driving H(t) = g(t) H, we study the deviation of the efficiency…

A Brownian information engine is a device extracting a mechanical work from a single heat bath by exploiting the information on the state of a Brownian particle immersed in the bath. As for engines, it is important to find the optimal…

Statistical Mechanics · Physics 2016-04-06 J. -M. Park , J. S. Lee , J. D. Noh

Restricted Boltzmann Machines (RBMs) are typically trained using finite-length Gibbs chains under a fixed sampling temperature. This practice implicitly assumes that the stochastic regime remains valid as the energy landscape evolves during…

Machine Learning · Computer Science 2026-03-04 Görkem Can Süleymanoğlu