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Related papers: The second law and beyond in microscopic quantum s…

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Quantum mechanics---the theory describing the fundamental workings of nature---is famously counterintuitive: it predicts that a particle can be in two places at the same time, and that two remote particles can be inextricably and…

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…

Quantum Physics · Physics 2021-04-09 M. X. Luo , X. Wang

For a two-level quantum mechanical system, we derive microscopically the exact expression for the fluctuation of microscopic work in a multi-step non-equilibrium process, and we rigorously prove that in an isothermal process, the…

Statistical Mechanics · Physics 2008-08-19 H. T. Quan , S. Yang , C. P. Sun

A classical and quantum mechanical generalized second law of thermodynamics in cosmology implies constraints on the effective equation of state of the universe in the form of energy conditions, obeyed by many known cosmological solutions,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Ram Brustein

The concept of entropy and the correct application of the Second Law of thermodynamics are essential in order to understand the reason why quantum error correction is thermodynamically possible and no violation of the Second Law occurs…

Quantum Physics · Physics 2015-06-16 Carlo Cafaro , Peter van Loock

The essential postulates of classical thermodynamics are formulated, from which the second law is deduced as the principle of increase of entropy in irreversible adiabatic processes that take one equilibrium state to another. The entropy…

Soft Condensed Matter · Physics 2009-10-30 Elliott H. Lieb , Jakob Yngvason

In this work, we investigate the heat flow of two interacting quantum systems on the perspective of noncommutativity phase-space effects and show that by controlling the new constants introduced in the quantum theory, due to a deformed…

Quantum Physics · Physics 2020-12-25 Jonas F. G. Santos

Based only on classical Hamiltonian dynamics, we prove the maximum work principle in a system where macroscopic dynamical degrees of freedom are intrinsically coupled to microscopic degrees of freedom. Unlike recent identities between…

Statistical Mechanics · Physics 2015-05-26 Christian Maes , Hal Tasaki

In this article, we briefly review dynamical and thermodynamical aspects of different forms of quantum motors and quantum pumps. We then extend previous results to provide new theoretical tools for a systematic study of those phenomena at…

Mesoscale and Nanoscale Physics · Physics 2019-08-26 Raúl A. Bustos-Marún , Hernan L. Calvo

In classical phenomenological thermodynamics the first and second laws can be regarded as independent statements. Statistical mechanics provides a microscopic substratum that explains thermodynamics in probabilistic terms via a microstate…

Statistical Mechanics · Physics 2007-05-23 A. Plastino , E. M. F. Curado

We develop a geometric framework to describe the thermodynamics of microscopic heat engines driven by slow periodic temperature variations and modulations of a mechanical control parameter. Covering both the classical and the quantum…

Statistical Mechanics · Physics 2020-01-31 Kay Brandner , Keiji Saito

The theory of quantum thermodynamics investigates how the concepts of heat, work, and temperature can be carried over to the quantum realm, where fluctuations and randomness are fundamentally unavoidable. Of particular practical relevance…

Quantum Physics · Physics 2019-09-23 Patrick P. Potts

One of the principal objectives of quantum thermodynamics is to explore quantum effects and their potential beneficial role in thermodynamic tasks like work extraction or refrigeration. So far, even though several papers have already shown…

Quantum Physics · Physics 2019-04-22 C. L. Latune , I. Sinayskiy , F. Petruccione

The prosperous development of both hardware and algorithms for quantum computing (QC) potentially prompts a paradigm shift in scientific computing in various fields. As an increasingly active topic in QC, the variational quantum algorithm…

Quantum Physics · Physics 2022-11-30 Yangyang Liu , Zhen Chen , Chang Shu , Siou Chye Chew , Boo Cheong Khoo , Xiang Zhao

It has long been known that, fundamentally different from a large body of rarefied gas, when a Knudsen gas is immersed in a thermal bath, it may never reach thermal equilibrium. The root cause is nonchaoticity: as the particle-particle…

Statistical Mechanics · Physics 2024-11-15 Yu Qiao , Zhaoru Shang

Local master equations are a widespread tool to model open quantum systems, especially in the context of many-body systems. These equations, however, are believed to lead to thermodynamic anomalies and violation of the laws of…

Quantum Physics · Physics 2021-02-23 Adam Hewgill , Gabriele De Chiara , Alberto Imparato

We formulate the problem of approach to equilibrium in algebraic quantum statistical mechanics and study some of its structural aspects, focusing on the relation between the zeroth law of thermodynamics (approach to equilibrium) and the…

Mathematical Physics · Physics 2024-09-25 Vojkan Jakšić , Claude-Alain Pillet , Clément Tauber

A tantalizing version of Maxwell's demon is presented which appears to operate reversibly. A container of hard core disks is separated into two chambers of equal volume by a membrane that selects which disk can penetrate depending on the…

chao-dyn · Physics 2009-10-22 P. A. Skordos

Entanglement is central both to the foundations of quantum theory and, as a novel resource, to quantum information science. The theory of entanglement establishes basic laws, such as the non-increase of entanglement under local operations,…

Quantum Physics · Physics 2008-11-04 Fernando G. S. L. Brandao , Martin B. Plenio

We extend Jarzynski's work relation and the second law of thermodynamics to a heat conducting system which is operated by an external agent. These extensions contain a new non equilibrium contribution expressed as the violation of the…

Statistical Mechanics · Physics 2012-09-25 Naoko Nakagawa