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We identify the critical theory controlling the universal, low temperature, macroscopic properties of both quantum and classical ferromagnetic chains. The theory is the quantum mechanics of a single rotor. The mapping leads to an efficient…

Condensed Matter · Physics 2009-10-28 Minoru Takahashi , Hiroaki Nakamura , Subir Sachdev

This paper introduces the notion of a universal plan, which when executed, is guaranteed to solve all planning problems in a category, regardless of the obstacles, initial state, and goal set. Such plans are specified as a deterministic…

Robotics · Computer Science 2024-09-17 Kalle G. Timperi , Alexander J. LaValle , Steven M. LaValle

Semigroups generated by topological operations such as closure, interior or boundary are considered. It is noted that some of these semigroups are in general finite and noncommutative. The problem is formulated whether they are always…

General Mathematics · Mathematics 2008-05-13 Elemer E Rosinger

It has been researched the kinetics of the thermal equilibrium's establishment in an early Universe under the assumption of the recovery of interaction scaling of elementary particles in range of superhigh energies. The case of the thermal…

General Relativity and Quantum Cosmology · Physics 2011-01-04 Yu. G. Ignatyev , D. Yu. Ignatyev

We discuss what kind of quantum channels can enable thermalization processes. We show that in order to determine a system's temperature, a thermometer needs to dynamically gain information about the system's local Hamiltonian and not just…

Quantum Physics · Physics 2021-11-09 Daniel Grimmer , Robert B. Mann , Eduardo Martin-Martinez

Since years it has been vividly debated whether multifragmentation is a thermal or a dynamical process. Recently it has been claimed \cite{toek1,po} that new data allow to decide this question. The conclusion, drawn in these papers, are,…

Nuclear Theory · Physics 2009-10-31 R. Nebauer , J. Aichelin

We consider locally thermal states (for two qubits) with certain amount of quantum entanglement present between them. Unlike previous protocols we show how work can be extracted by performing local unitary operations on this state by…

Recent work using tools from quantum information theory has shown that at the nanoscale where quantum effects become prevalent, there is not one thermodynamical second law but many. Derivations of these laws assume that an experimenter has…

Quantum Physics · Physics 2018-12-19 Chris Perry , Piotr Ćwikliński , Janet Anders , Michał Horodecki , Jonathan Oppenheim

The eigenstate thermalization hypothesis provides to date the most successful description of thermalization in isolated quantum systems by conjecturing statistical properties of matrix elements of typical operators in the (quasi-)energy…

Statistical Mechanics · Physics 2021-06-30 Felix Fritzsch , Tomaž Prosen

The concepts of amenable and compatible functions have been introduced in a recent work, in order to state precise mathematical theorems that guarantee that a backward stable algorithm is also forward stable, and that the composition of two…

Numerical Analysis · Mathematics 2025-07-24 Carlos Beltrán

The limit of small entropy production is reached in relaxing systems long after preparation, and in stationary driven systems in the limit of small driving power. Surprisingly, for extended systems this limit is not in general the…

Condensed Matter · Physics 2009-10-31 Leticia F. Cugliandolo , Jorge Kurchan

Thermal machines are physical systems that, when fueled by input energy, perform output tasks such as heat pumping or the production of work. Their performance is characterized with several, often competing quantities, such as power,…

Statistical Mechanics · Physics 2026-03-23 José A. Almanza-Marrero , Édgar Roldán , Gonzalo Manzano

A thermal current, generated by a temperature gradient between two reservoirs coupled to a carefully designed photonic or (micro-) electromechanical circuit, might induce non-conservative forces that impulse a mechanical degree of freedom…

We provide the full theory of thermodynamic formalism for a very general collection of entire functions in class $\mathcal B$. This class overlaps with the collection of all entire functions for which thermodynamic formalism has been so far…

Dynamical Systems · Mathematics 2019-10-22 Volker Mayer , Mariusz Urbański

When a non-integrable system evolves out of equilibrium for a long time, local observables are expected to attain stationary expectation values, independent of the details of the initial state. However, intriguing experimental results with…

Quantum Physics · Physics 2011-05-17 Mari Carmen Bañuls , J. Ignacio Cirac , Matthew B. Hastings

In the classical world, temperature is a measure of how hot or cold a physical object is. We never find a physical system which can be both hot and cold at the same time. Here, we show that for a quantum system, it is possible to have…

Quantum Physics · Physics 2021-12-21 Arun Kumar Pati , Avijit Misra

Research has demonstrated that many students and some teachers do not consistently apply the conservation of energy principle when analyzing mechanical scenarios. In observing elementary and secondary teachers engaged in learning activities…

Physics Education · Physics 2015-06-23 Abigail R. Daane , Sarah B. McKagan , Stamatis Vokos , Rachel E. Scherr

The unattainability principle (UP) is an operational formulation of the third law of thermodynamics stating the impossibility to bring a system to its ground state in finite time. In this work, several recent derivations of the UP are…

Quantum Physics · Physics 2019-11-18 Nahuel Freitas , Rodrigo Gallego , Lluís Masanes , Juan Pablo Paz

Application of Universal Competencies in Russian educational institutions is very important. Based on them, educational standards are invented. However, there is no universal assessment of the application of the Universal Competencies in…

Computers and Society · Computer Science 2025-01-22 Sergey Masaev , Georgiy Dorrer , Andrey Minkin , Aleksey Bogdanov , Yass Salal

We introduce a class of thermal operations based on the collision model, where the system sequentially interacts with uncorrelated bath molecules via energy-preserving unitaries. To ensure finite complexity, each molecule is constrained to…

Quantum Physics · Physics 2025-12-11 Xueyuan Hu , Valerio Scarani
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