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Statistical inference can be seen as information processing involving input information and output information that updates belief about some unknown parameters. We consider the Bayesian framework for making inferences about dynamical…

统计理论 · 数学 2022-01-17 Artur O. Lopes , Silvia R. C. Lopes , Paulo Varandas

We demonstrate that Shannon's information entropy and the thermodynamic entropy of Boltzmann and Gibbs are quantitatively equivalent for real condensed-matter systems. By interpreting atomic configurations as information sources, we compute…

统计力学 · 物理学 2025-12-03 Dallin Fisher , Qi-Jun Hong

We present the amounts of information, fidelity, and reversibility obtained by arbitrary quantum measurements on completely unknown states. These quantities are expressed as functions of the singular values of a measurement operator…

量子物理 · 物理学 2016-02-05 Hiroaki Terashima

We analyze a periodic optimal finite-time two-state information-driven machine that extracts work from a single heat bath exploring imperfect measurements. Two models are considered, a memory-less one that ignores past measurements and an…

统计力学 · 物理学 2014-09-26 Michael Bauer , Andre C. Barato , Udo Seifert

Gathering information about a system enables greater control over it. This principle lies at the core of information engines, which use measurement-based feedback to rectify thermal noise and convert information into work. Originating from…

统计力学 · 物理学 2025-01-24 Rémi Goerlich , Laura Hoek , Omer Chor , Saar Rahav , Yael Roichman

We develop an axiomatic reconstruction of thermodynamics based entirely on two primitive components: a description of what aspects of a system are observed and a reference measure that encodes the underlying descriptive convention. These…

化学物理 · 物理学 2026-01-21 Tatsuaki Tsuruyama

We relate the information exchange between two stochastic systems to the nonequilibrium entropy production in the whole system. By deriving a general formula that decomposes the total entropy production into the thermodynamic and…

统计力学 · 物理学 2015-06-16 Takahiro Sagawa , Masahito Ueda

One of the fundamental issues in the field of open quantum systems is the classification and quantification of non-Markovianity. In the contest of quantity-based measures of non-Markovianity, the intuition of non-Markovianity in terms of…

量子物理 · 物理学 2018-01-24 Hong-Bin Chen , Guang-Yin Chen , Yueh-Nan Chen

Using a mechanical cantilever submitted to electrostatic feedback control, we investigate the thermodynamic properties of an information engine that extracts work from thermal fluctuations. The cantilever position is rapidly sampled and the…

We report on a lossless information engine that converts nearly all available information from an error-free feedback protocol into mechanical work. Combining high-precision detection at resolution of 1 nm with ultrafast feedback control,…

统计力学 · 物理学 2018-02-07 Govind Paneru , Dong Yun Lee , Tsvi Tlusty , Hyuk Kyu Pak

We present a generalization of Jarzynski's Equality, applicable to quantum systems, relating discretized mechanical work and free-energy changes. The theory is based on a step-wise pulling protocol. We find that work distribution functions…

量子物理 · 物理学 2012-09-21 Van A. Ngo , Stephan Haas

We reconsider a well-known relationship between the fluctuation theorem and the second law of thermodynamics by evaluating a probability measure-valued process. In order to establish a bridge between microscopic and macroscopic behaviors,…

统计力学 · 物理学 2015-03-19 Yuki Sughiyama , Masayuki Ohzeki

Feedback control mechanisms are ubiquitous in science and technology, and play an essential role in regulating physical, biological and engineering systems. The standard second law of thermodynamics does not hold in the presence of…

量子物理 · 物理学 2020-04-20 Maxime Debiossac , David Grass , Jose Joaquin Alonso , Eric Lutz , Nikolai Kiesel

Heat engines and information engines have each historically served as motivating examples for the development of thermodynamics. While these two types of systems are typically thought of as two separate kinds of machines, recent empirical…

统计力学 · 物理学 2024-12-30 Matthew P. Leighton , Jannik Ehrich , David A. Sivak

To define the work performed on a driven quantum system in a physically sound way has turned out to be a truly non-trivial task, except in some special cases of limited applicability. This topic has been in a focus of intense research…

统计力学 · 物理学 2012-12-27 Jukka P. Pekola , Paolo Solinas , Alexander Shnirman , Dmitri V. Averin

Starting from the stochastic thermodynamics description of two coupled underdamped Brownian particles, we showcase and compare three different coarse-graining schemes leading to an effective thermodynamic description for the first of the…

统计力学 · 物理学 2020-02-20 Tim Herpich , Kamran Shayanfard , Massimiliano Esposito

We examine non-Markovian effects in an open quantum system from the point of view of information flow. To this end, we consider the spin-boson model with a cold reservoir, accounting for the exact time-dependent correlations between the…

量子物理 · 物理学 2016-07-13 Rebecca Schmidt , Sabrina Maniscalco , Tapio Ala-Nissila

The Jarzynski equality is one of the most influential results in the field of non equilibrium statistical mechanics. This celebrated equality allows to calculate equilibrium free energy differences from work distributions of nonequilibrium…

统计力学 · 物理学 2017-09-13 Shahaf Asban , Saar Rahav

The standard quantum formalism introduced at the undergraduate level treats measurement as an instantaneous collapse. In reality however, no physical process can occur over a truly infinitesimal time interval. A more subtle investigation of…

量子物理 · 物理学 2020-04-22 Leigh S. Martin

Stochastic thermodynamics extends the notions and relations of classical thermodynamics to small systems that experience strong fluctuations. The definitions of work and heat and the microscopically reversible condition are two key concepts…

统计力学 · 物理学 2019-07-23 Geng Li , Z. C. Tu