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The usual Heisenberg uncertainty relation for position and momentum may be replaced by an exact equality, for suitably chosen measures of position and momentum uncertainty. This "exact" uncertainty relation is valid for_all_ pure states,…

量子物理 · 物理学 2015-06-26 Michael J. W. Hall , Marcel Reginatto

A brief introduction to the gauge invariant classical and quantum theory of cosmological perturbations is given. The formalism is applied to inflationary Universe models and yields a consistent and unified description of the generation and…

天体物理学 · 物理学 2007-05-23 R. Brandenberger , H. Feldman , V. Mukhanov

The theory of cosmological perturbations has become a cornerstone of modern quantitative cosmology since it is the framework which provides the link between the models of the very early Universe such as the inflationary Universe scenario…

高能物理 - 理论 · 物理学 2017-08-23 Robert H. Brandenberger

The main obstacle for practical quantum technology is the noise, which can induce the decoherence and destroy the potential quantum advantages. The fluctuation of a field, which induces the dephasing of the system, is one of the most common…

量子物理 · 物理学 2020-03-31 Yu Chen , Hongzhen Chen , Jing Liu , Zibo Miao , Haidong Yuan

In this study, we rederive the fluctuation theorems in presence of feedback, by assuming the known Jarzynski equality and detailed fluctuation theorems. We first reproduce the already known work theorems for a classical system, and then…

统计力学 · 物理学 2015-05-30 Sourabh Lahiri , Shubhashis Rana , A. M. Jayannavar

Arguments are gived for the plausibility that quantum mechanics is a stochastic theory and that many quantum phenomena derive from the existence of a real noise consisting of vacuum fluctuations of all fundamental fields existing in nature.…

量子物理 · 物理学 2016-09-26 Emilio Santos

The statistics of heat exchange between two classical or quantum finite systems initially prepared at different temperatures are shown to obey a fluctuation theorem.

统计力学 · 物理学 2009-11-10 Christopher Jarzynski , Daniel K. Wojcik

The Einstein-Langevin equation is a perturbative correction to the semiclassical Einstein equation which takes into account the lowest order quantum fluctuations of the matter stress-energy tensor. It predicts classical stochastic…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Rosario Martin , Enric Verdaguer

We show that, in spite of a rather common opinion, quantum mechanics can be represented as an approximation of classical statistical mechanics. The approximation under consideration is based on the ordinary Taylor expansion of physical…

统计力学 · 物理学 2009-11-11 Andrei Khrennikov

We derive detailed and integral quantum fluctuation theorems for heat exchange in a quantum correlated bipartite thermal system using the framework of dynamic Bayesian networks. Contrary to the usual two-projective-measurement scheme that…

量子物理 · 物理学 2020-03-11 Kaonan Micadei , Gabriel T. Landi , Eric Lutz

A general theory of thermal magnetic fluctuations near conductive materials is developed; such fluctuations are the magnetic analog of Johnson noise. For realistic experiments in quantum computing and magnetic resonance force microscopy,…

量子物理 · 物理学 2007-05-23 J. A. Sidles , J. L. Garbini , W. M. Dougherty , S. H. Chao

We describe space--time fluctuations by means of small fluctuations of the metric on a given background metric. From a minimally coupled Klein--Gordon equation we obtain within a weak-field approximation up to second order and an averaging…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Ertan Göklü , Claus Lämmerzahl

In classical mechanics, a natural way to simplify a many-body problem is to ``replace'' some of the elements of the composite system with surrogate \textit{force fields}. In the realm of quantum mechanics, however, such a description is…

量子物理 · 物理学 2021-08-06 Piotr Szańkowski

The celebrated Evans-Searles, respectively Gallavotti-Cohen, fluctuation theorem concerns certain universal statistical features of the entropy production rate of a classical system in a transient, respectively steady, state. In this paper,…

数学物理 · 物理学 2025-08-05 T. Benoist , L. Bruneau , V. Jakšić , A. Panati , C. -A. Pillet

Fluctuation theorems establish exact relations for nonequilibrium dynamics, profoundly advancing the field of stochastic thermodynamics. In this work, we extend quantum fluctuation theorems beyond the traditional thermodynamic framework to…

量子物理 · 物理学 2026-02-24 Kun Zhang , Mo-Yang Ni , Hai-Long Shi , Xiao-Hui Wang , Jin Wang

The existence of irreducible field fluctuations in vacuum is an important prediction of quantum theory. These fluctuations have many observable consequences, like the Casimir effect which is now measured with good accuracy and agreement…

量子物理 · 物理学 2015-06-26 Serge Reynaud , Astrid Lambrecht , Cyriaque Genet , Marc-Thierry Jaekel

We propose a system of equations to describe the interaction of a quasiclassical variable $X$ with a set of quantum variables $x$ that goes beyond the usual mean field approximation. The idea is to regard the quantum system as continuously…

量子物理 · 物理学 2009-10-30 L. Diosi , J. J. Halliwell

What if gravity is classical? If true, a consistent co-existence of classical gravity and quantum matter requires that gravity exhibit irreducible fluctuations. These fluctuations can mediate classical correlations, but not quantum…

广义相对论与量子宇宙学 · 物理学 2025-02-18 Serhii Kryhin , Vivishek Sudhir

Starting from an axiomatic perspective, \emph{fluctuation geometry} is developed as a counterpart approach of inference geometry. This approach is inspired on the existence of a notable analogy between the general theorems of…

统计理论 · 数学 2013-07-31 L Velazquez

Fluctuation theorems (FTs), which describe some universal properties of nonequilibrium fluctuations, are examined from a quantum perspective and derived by introducing a two-point measurement on the system. FTs for closed and open systems…

统计力学 · 物理学 2015-05-13 Massimiliano Esposito , Upendra Harbola , Shaul Mukamel