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With the guidance offered by nonequilibrium statistical thermodynamics, simulation techniques are elevated from brute-force computer experiments to systematic tools for extracting complete, redundancy-free and consistent coarse grained…

Statistical Mechanics · Physics 2018-03-09 Hans Christian Öttinger

We present general results on fluctuations and spatial correlations of the coarse-grained empirical density and current of Markovian diffusion in equilibrium or non-equilibrium steady states on all time scales. We unravel a deep connection…

Statistical Mechanics · Physics 2023-04-06 Cai Dieball , Aljaž Godec

In this letter we investigate the possibility of observing macroscopic entanglement, considering realistic factors such as decoherence, particle losses, and measurements of limited precision (coarse-grained collective measurements). This…

Quantum Physics · Physics 2025-02-24 Martina Gisti , Miguel Gallego , Borivoje Dakić

The thermodynamic entropy of coarse-grained (CG) models stands as one of the most important properties for quantifying the missing information during the CG process and for establishing transferable (or extendible) CG interactions. However,…

Chemical Physics · Physics 2024-04-10 Jaehyeok Jin , David R. Reichman

We study quantum coarse-grained entropy and demonstrate that the gap in entropy between local and global coarse-grainings is a natural generalization of entanglement entropy to mixed states and multipartite systems. This "quantum…

Quantum Physics · Physics 2020-12-02 Joseph Schindler , Dominik Šafránek , Anthony Aguirre

Irreversible thermodynamics of simple fluids have been connected recently to the theory of dynamical systems and some interesting assumptions have been made about the nature of the associated invariant measures. We show that the tests of…

chao-dyn · Physics 2008-02-03 Jean-Pierre Eckmann , Itamar Procaccia

The connection between coarse-graining of measurement and emergence of classicality has been investigated for some time, if not well understood. Recently in (PRL $\textbf{112}$, 010402, (2014)) it was pointed out that coarse-graining…

Quantum Physics · Physics 2017-03-03 Madhav Krishnan , Tanmoy Biswas , Sibasish Ghosh

Thermodynamic irreversibility is a crucial property of living matter. Irreversible processes maintain spatiotemporally complex structures and functions characteristic of living systems. In high-dimensional biological dynamics, robust and…

Statistical Mechanics · Physics 2023-09-20 Junang Li , Chih-Wei Joshua Liu , Michal Szurek , Nikta Fakhri

The recursive property of entropy is well known in information theory; however, the concept is underutilized in thermodynamics, despite being the field where the concept of entropy originated. The zentropy approach is built on this idea,…

Statistical Mechanics · Physics 2026-05-19 Luke Allen Myers , Nigel Lee En Hew , Shun-Li Shang , Zi-Kui Liu

Thermodynamics is based on a coarse-grained approach, from which its fundamental variables emerge, effectively erasing the complicate details of the microscopic dynamics within a macroscopic system. The strength of Thermodynamics lies in…

Quantum Physics · Physics 2025-04-17 Gabriel Fernandez Ferrari , Łukasz Rudnicki , Lucas Chibebe Céleri

Considering a general microscopic model for a quantum measuring apparatus comprising a quantum probe coupled to a thermal bath, we analyze the energetic resources necessary for the realization of a quantum measurement, which includes the…

Quantum Physics · Physics 2025-01-29 Camille L Latune , Cyril Elouard

Entropy production is arguably the most universally applicable measure of non-equilibrium behavior, particularly for systems coupled to a heat bath. This setting encompasses driven soft matter as well as biomolecular, biochemical, and…

Statistical Mechanics · Physics 2025-12-09 Udo Seifert

We propose a new approach concerning the introduction of time-irreversibility in statistical mechanics. It is based on a transition function defined in terms of path integral and verifying a time-irreversible equation. We show first how…

Statistical Mechanics · Physics 2015-03-02 J. P. Badiali

Time irreversibility, defined as the lack of invariance of the statistical properties of a system or time series under the operation of time reversal, has received an increasing attention during the last decades, thanks to the information…

Data Analysis, Statistics and Probability · Physics 2021-11-03 Massimiliano Zanin

Observational entropy provides a general notion of quantum entropy that appropriately interpolates between Boltzmann's and Gibbs' entropies, and has recently been argued to provide a useful measure of out-of-equilibrium thermodynamic…

Quantum Physics · Physics 2023-05-09 Francesco Buscemi , Joseph Schindler , Dominik Šafránek

Understanding the dynamical consequences of quantum phase transitions on thermodynamical quantities, such as work statistics and entropy production, is one of the most intriguing aspect of quantum many-body systems, pinpointing the…

Quantum Physics · Physics 2025-08-27 Fernando J. Gómez-Ruiz , Stefano Gherardini , Ricardo Puebla

How is the irreversibility of a high-dimensional chaotic system controlled by the heterogeneity in the non-reciprocal interactions among its elements? In this paper, we address this question using a stochastic model of random recurrent…

Statistical Mechanics · Physics 2025-02-18 Tuan Pham , Albert Alonso , Karel Proesmans

The characterization of irreversibility in general quantum processes is an open problem of increasing techno- logical relevance. Yet, the tools currently available to this aim are mostly limited to the assessment of dynamics induced by…

Quantum Physics · Physics 2017-06-06 Jader P. Santos , Gabriel T. Landi , Mauro Paternostro

We study the coarse-graining approach to derive a generator for the evolution of an open quantum system over a finite time interval. The approach does not require a secular approximation but nevertheless generally leads to a…

Statistical Mechanics · Physics 2020-05-08 Gernot Schaller , Julian Ablaßmayer

A boson sampling device could efficiently sample from the output probability distribution of noninteracting bosons undergoing many-body interference. This problem is not only classically intractable, but its solution is also believed to be…

Quantum Physics · Physics 2016-01-13 Sheng-Tao Wang , Lu-Ming Duan