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Considering an entropy-based division of energy transferred into heat and work, we develop an alternative theoretical framework for the thermodynamic analysis of two-level systems. When comparing these results with those obtained under the…

量子物理 · 物理学 2021-04-14 Andrés Vallejo , Alejandro Romanelli , Raúl Donangelo

Thermodynamic entropy, as defined by Clausius, characterizes macroscopic observations of a system based on phenomenological quantities such as temperature and heat. In contrast, information-theoretic entropy, introduced by Shannon, is a…

量子物理 · 物理学 2017-01-04 Mirjam Weilenmann , Lea Krämer , Philippe Faist , Renato Renner

The second law of thermodynamics for adiabatic operations -- constraints on state transitions in closed systems under external control -- is one of the fundamental principles of thermodynamics. On the other hand, it is recently established…

统计力学 · 物理学 2026-02-09 Yuuya Chiba , Yasushi Yoneta , Ryusuke Hamazaki , Akira Shimizu

The entropy shows an unavoidable tendency of disorder in thermostatistics according to the second thermodynamics law. This provides a minimization entropy principle for quantum thermostatistics with the von Neumann entropy and nonextensive…

量子物理 · 物理学 2021-04-09 M. X. Luo , X. Wang

We illustrate the mathematical theory of entropy production in repeated quantum measurement processes developed in a previous work by studying examples of quantum instruments displaying various interesting phenomena and singularities. We…

数学物理 · 物理学 2021-03-04 Tristan Benoist , Noé Cuneo , Vojkan Jakšić , Claude-Alain Pillet

This article is a short version of a longer article to appear in Physics Reports (cond-mat/9708200). The essential postulates of classical thermodynamics are formulated, from which the second law is deduced as the principle of increase of…

数学物理 · 物理学 2007-05-23 Elliott H. Lieb , Jakob Yngvason

Despite the increasing interest, the research field which studies the concepts of work and heat at quantum level has suffered from two main drawbacks: first, the difficulty to properly define and measure the work, heat and internal energy…

量子物理 · 物理学 2021-07-07 Paolo Solinas , Mirko Amico , Nino Zanghì

We review the fundamental properties of the quantum relative entropy for finite-dimensional Hilbert spaces. In particular, we focus on several inequalities that are related to the second law of thermodynamics, where the positivity and the…

统计力学 · 物理学 2023-04-18 Takahiro Sagawa

The heat dissipation in quantum metrology represents not only an unavoidable problem towards practical applications of quantum sensing devices but also a fundamental relationship between thermodynamics and quantum metrology. However, a…

量子物理 · 物理学 2023-02-02 Yaoming Chu , Jianming Cai

The Kullback-Leibler inequality is a way of comparing any two density matrices. A technique to set up the density matrix for a physical system is to use the maximum entropy principle, given the entropy as a functional of the density matrix,…

统计力学 · 物理学 2009-11-07 A. K. Rajagopal , R. W. Rendell , Sumiyoshi Abe

Thermodynamics is a highly successful macroscopic theory widely used across the natural sciences and for the construction of everyday devices, from car engines and fridges to power plants and solar cells. With thermodynamics predating…

量子物理 · 物理学 2016-04-07 Philipp Kammerlander , Janet Anders

A heat engine undergoes a cyclic operation while in equilibrium with the net result of conversion of heat into work. Quantum effects such as superposition of states can improve an engine's efficiency by breaking detailed balance, but this…

量子物理 · 物理学 2013-03-07 Sahand Hormoz

This paper is a non-technical, informal presentation of our theory of the second law of thermodynamics as a law that is independent of statistical mechanics and that is derivable solely from certain simple assumptions about adiabatic…

数学物理 · 物理学 2009-10-31 Elliott H. Lieb , Jakob Yngvason

We extend classical coarse-grained entropy, commonly used in many branches of physics, to the quantum realm. We find two coarse-grainings, one using measurements of local particle numbers and then total energy, and the second using local…

量子物理 · 物理学 2019-01-17 Dominik Šafránek , J. M. Deutsch , Anthony Aguirre

Due to the absence of an external, classical time variable, the probabilistic predictions of covariant quantum theory are ambiguous when multiple measurements are considered. Here, we introduce an information theoretic framework to the…

量子物理 · 物理学 2011-11-09 S. Jay Olson , Jonathan P. Dowling

Using a very simple Gedankenexperiment, I remind the reader that (contrary to what happens in classical mechanics) the energy of a quantum system is inevitably increased just by performing (some) textbook measurements on it. As a direct…

量子物理 · 物理学 2014-02-14 Pablo Echenique-Robba

Some bounds on the entropic informational quantities related to a quantum continual measurement are obtained and the time dependencies of these quantities are studied.

量子物理 · 物理学 2009-10-09 Alberto Barchielli , Giancarlo Lupieri

Heat and work in thermodynamics refer to the measurement of changes in energy content of external bodies (baths and agents). We discuss the implications of quantum mechanics on the possibility to measure work in a mesoscopic context. The…

量子物理 · 物理学 2025-07-15 Anant Vijay Varma , Doron Cohen

This article sets up a new formalism to investigate stochastic thermodynamics in the quantum regime, where stochasticity and irreversibility primarily come from quantum measurement. In the absence of any bath, we define a purely quantum…

量子物理 · 物理学 2017-03-16 Cyril Elouard , David Herrera-Martí , Maxime Clusel , Alexia Auffèves

Thermodynamics and information have intricate interrelations. Often thermodynamics is considered to be the logical premise to justify that information is physical - through Landauer's principle -, thereby also linking information and…