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Evaluating the maximum amount of work extractable from a nanoscale quantum system is one of the central problems in quantum thermodynamics. Previous works identified the free energy of the input state as the optimal rate of extractable work…

Quantum Physics · Physics 2026-03-06 Kaito Watanabe , Ryuji Takagi

Temperature is a widely used hyperparameter in various tasks involving neural networks, such as classification or metric learning, whose choice can have a direct impact on the model performance. Most of existing works select its value using…

Machine Learning · Computer Science 2022-10-19 Benjamin Chamand , Olivier Risser-Maroix , Camille Kurtz , Philippe Joly , Nicolas Loménie

We consider an isothermal machine composed of two Brownian particles (say particle A and B) connected by a harmonic spring. A constant load is attached to particle A, and the particle B is trapped in a harmonic confinement whose minimum is…

Statistical Mechanics · Physics 2018-08-01 Deepak Gupta

Thermodynamics is traditionally concerned with systems comprised of a large number of particles. Here we present a framework for extending thermodynamics to individual quantum systems, including explicitly a thermal bath and work-storage…

Quantum Physics · Physics 2014-09-29 Paul Skrzypczyk , Anthony J. Short , Sandu Popescu

The stochastic efficiency of effusion as a thermal engine is investigated within the framework of stochastic thermodynamics. Explicit results are obtained for the probability distribution of the efficiency both at finite times and in the…

Statistical Mechanics · Physics 2015-02-10 Karel Proesmans , Bart Cleuren , Christian Van Den Broeck

The energy of a finite system thermally connected to a thermal reservoir may fluctuate, while the temperature is a constant representing a thermodynamic property of the reservoir. The finite system can also be used as a thermometer for the…

Statistical Mechanics · Physics 2015-05-28 M. Falcioni , A. Puglisi , A. Sarracino , D. Villamaina , A. Vulpiani

Adaptive systems -- such as a biological organism gaining survival advantage, an autonomous robot executing a functional task, or a motor protein transporting intracellular nutrients -- must model the regularities and stochasticity in their…

Statistical Mechanics · Physics 2021-04-13 A. B. Boyd , J. P. Crutchfield , M. Gu

The issue of discrete probability estimation for samples of small size is addressed in this study. The maximum likelihood method often suffers over-fitting when insufficient data is available. Although the Bayesian approach can avoid…

Machine Learning · Computer Science 2012-12-13 Takashi Isozaki

A 1929 Gedankenexperiment proposed by Szil\'ard, often referred to as "Szil\'ard's engine", has served as a foundation for computing fundamental thermodynamic bounds to information processing. While Szil\'ard's original box could be…

We generalize stochastic thermodynamics to include information reservoirs. Such information reservoirs, which can be modeled as a sequence of bits, modify the second law. For example, work extraction from a system in contact with a single…

Statistical Mechanics · Physics 2014-11-17 Andre C. Barato , Udo Seifert

We consider overdamped Brownian particles with two degrees of freedom (DoF) that are confined in a time-varying quadratic potential and are in simultaneous contact with heat baths of different temperatures along the respective DoF. The…

Statistical Mechanics · Physics 2024-06-21 Jordi Ventura Siches , Olga Movilla Miangolarra , Tryphon T. Georgiou

Work can be extracted from a single heat bath if additional information is available. For the paradigmatic case of a Brownian particle in a harmonic potential, whose position has been measured with finite precision, we determine the optimal…

Statistical Mechanics · Physics 2011-03-24 D. Abreu , U. Seifert

Measurement and feedback allows an external agent to extract work from a system in contact with a single thermal bath. The maximum amount of work that can be extracted in a single measurement and the corresponding feedback loop is given by…

Statistical Mechanics · Physics 2024-01-19 L. Dinis , J. M. R. Parrondo

This letter exposes a tight connection between the thermodynamic efficiency of information processing and predictive inference. A generalized lower bound on dissipation is derived for partially observable information engines which are…

Statistical Mechanics · Physics 2020-02-12 Susanne Still

We derive ignorance based prior distribution to quantify incomplete information and show its use to estimate the optimal work characteristics of a heat engine.

Statistical Mechanics · Physics 2015-06-04 Preety Aneja , Ramandeep S. Johal

The energy cost of computation has emerged as a central challenge at the intersection of physics and computer science. Recent advances in statistical physics -- particularly in stochastic thermodynamics -- enable precise characterizations…

Statistical Mechanics · Physics 2025-10-07 Jinghao Lyu , Kyle J. Ray , James P. Crutchfield

The past twenty years have seen a resurgence of interest in nonequilibrium thermodynamics, thanks to advances in the theory of stochastic processes and in their thermodynamic interpretation. Fluctuation theorems provide fundamental…

Statistical Mechanics · Physics 2017-11-16 Robert Marsland , Jeremy England

We study dynamic cooling, where an externally driven two-level system is cooled via reservoir, a quantum system with initial canonical equilibrium state. We obtain explicitly the minimal possible temperature $T_{\rm min}>0$ reachable for…

Statistical Mechanics · Physics 2015-05-28 Armen E. Allahverdyan , Karen V. Hovhannisyan , Dominik Janzing , Guenter Mahler

Perfectly rational decision-makers maximize expected utility, but crucially ignore the resource costs incurred when determining optimal actions. Here we propose an information-theoretic formalization of bounded rational decision-making…

Statistics Theory · Mathematics 2015-06-04 Pedro A. Ortega , Daniel A. Braun

A short introduction on quantum thermodynamics is given and three new topics are discussed: 1) Maximal work extraction from a finite quantum system. The thermodynamic prediction fails and a new, general result is derived, the ``ergotropy''.…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. E. Allahverdyan , R. Balian , Th. M. Nieuwenhuizen