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Symmetry, irreversibility, and quantum coherence are foundational concepts in physics. Here, we present a universal tradeoff relation between these three concepts. This particularly reveals that (1) under a global symmetry, any attempt to…

Quantum Physics · Physics 2025-01-29 Hiroyasu Tajima , Ryuji Takagi , Yui Kuramochi

This note has no new results and is therefore not intended to be submitted to a "research" journal in the foreseeable future, but to be available to the numerous individuals who are interested in this issue. Several of those have approached…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yoseph Imry

The efficiency at maximum power (EMP) of heat engines operating as generators is one corner stone of finite-time thermodynamics, the Curzon-Ahlborn efficiency $\eta_{\rm CA}$ being considered as a universal upper bound. Yet, no valid…

Statistical Mechanics · Physics 2013-09-04 Yann Apertet , Henni Ouerdane , Aurelie Michot , Christophe Goupil , Philippe Lecoeur

Quantum thermodynamics can be naturally phrased as a theory of quantum state transformation and energy exchange for small-scale quantum systems undergoing thermodynamical processes, thereby making the resource theoretical approach very well…

Quantum Physics · Physics 2023-07-19 Uttam Singh , Jarosław K. Korbicz , Nicolas J. Cerf

Even though irreversibility is one of the major hallmarks of any real life process, an actual understanding of irreversible processes remains still mostly semiempirical. In this paper we formulate a thermodynamic uncertainty principle for…

Statistical Mechanics · Physics 2021-03-17 Rudolf Hanel , Petr Jizba

The thermodynamic uncertainty relation (TUR) provides a universal entropic bound for the precision of the fluctuation of the charge transfer for example for a class of continuous time stochastic processes. However, its extension to general…

Statistical Mechanics · Physics 2022-04-20 Takaaki Monnai

Dynamical universality is the observation that the dynamical properties of different systems might exhibit universal behavior that are independent of the system details. In this paper, we study the long-time dynamics of an one-dimensional…

Quantum Gases · Physics 2020-04-08 Jie Ren , Qiaoyi Li , Wei Li , Zi Cai , Xiaoqun Wang

This work presents a formalism to derive field quantities and conservation laws from the atomistic using the theory of distributions as the mathematical tool. By defining temperature as a derived quantity as that in molecular kinetic theory…

Statistical Mechanics · Physics 2023-11-20 Youping Chen

The example provided in the comment [arXiv:0803.2241] concerns a situation where the system is initially at negative temperature. It is known that in such cases the Law of Entropy Decrease holds. Nevertheless, this does not challenge the…

Quantum Physics · Physics 2008-04-09 Michele Campisi

The amount of heat generated by computers is rapidly becoming one of the main problems for developing new generations of information technology. The thermodynamics of computation sets the ultimate physical bounds on heat generation. A lower…

Quantum Physics · Physics 2017-03-30 Daniel Bedingham , Owen Maroney

The singularities prevalent in classical thermodynamics largely stem from the "postulate of equal a priori probabilities" neglecting the physical constraints imposed by computational complexity. This paper introduces Complexity Window…

Statistical Mechanics · Physics 2025-11-24 HongZheng Liu , YiNuo Tian , Zhiyue Wu

We establish fundamental mathematical limits on universal approximation theorem (UAT) system alignment by proving that catastrophic failures are an inescapable feature of any useful computational system. Our central thesis is that for any…

Machine Learning · Computer Science 2025-07-08 Jasper Yao

The present work deals with irreversible Universal thermodynamics. The homogenous and isotropic flat model of the universe is chosen as open thermodynamical system and non-equilibrium thermodynamics comes into picture due to the mechanism…

General Relativity and Quantum Cosmology · Physics 2016-05-17 Subhajit Saha , Atreyee Biswas , Subenoy Chakraborty

The third law of black hole dynamics states that the surface gravity (temperature) of black hole cannot be reduced to zero in finite sequence of physical interactions. We argue that the same is true when surface gravity is replaced by…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Naresh Dadhich , K. Narayan

Despite its simplicity, it seems to my best of knowledge that the possibly simplest approach towards deriving equations governing irreversible thermodynamics from gas-kinetic considerations within the framework of classical mechanics has…

Classical Physics · Physics 2016-08-22 Rudolf A. Hanel

According to Thermodynamics, the efficiency of a heat engine is upper bounded by Carnot efficiency. For macroscopic systems, the Carnot efficiency is, however, achieved only for quasi static processes. And, considerable attention has been…

Statistical Mechanics · Physics 2023-05-03 Takaaki Monnai

In a recent paper [Mar05] it is argued that to properly understand the thermodynamics of Landauer's Principle it is necessary extend the concept of logical operations to include indeterministic operations. Here we examine the thermodynamics…

Quantum Physics · Physics 2009-11-30 O. J. E. Maroney

We study optimal perfect distinguishability between a unitary and a general quantum operation. In 2-dimensional case we provide a simple sufficient and necessary condition for sequential perfect distinguishability and an analytical formula…

Quantum Physics · Physics 2010-10-13 Cheng Lu , Jianxin Chen , Runyao Duan

Thermalization is the process through which a physical system evolves toward a state of thermal equilibrium. Determining whether or not a physical system will thermalize from an initial state has been a key question in condensed matter…

Quantum Physics · Physics 2026-01-05 Dhruv Devulapalli , T. C. Mooney , James D. Watson

Thermodynamics plays an important role both in the foundations of physics and in technological applications. An operational perspective adopted in recent years is to formulate it as a quantum resource theory. At the core of this theory is…

Quantum Physics · Physics 2023-12-13 Thomas Theurer , Elia Zanoni , Carlo Maria Scandolo , Gilad Gour