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Linear fluctuating hydrodynamics is a useful and versatile tool for describing fluids, as well as other systems with conserved fields, on a mesoscopic scale. In one spatial dimension, however, transport is anomalous, which requires to…

Statistical Mechanics · Physics 2016-01-05 Herbert Spohn

We numerically study a two-dimensional granular gas of rigid disks where an external driving force is applied to each particle in such a way that the system is driven into a steady state by balancing the energy input and the dissipation due…

Statistical Mechanics · Physics 2009-04-13 M. Reza Shaebani , Jalal Sarabadani

The Casimir force is a spectacular consequence of the existence of vacuum fluctuations and thus deserves a place in courses on quantum theory. We argue that the scattering approach within a one-dimensional field theory is well suited to…

Quantum Physics · Physics 2015-01-28 Gert-Ludwig Ingold , Astrid Lambrecht

Real world quantum systems are open to perpetual influence from the wider environment. Quantum gravitational fluctuations provide a most fundamental source of the environmental influence through their universal interactions with all forms…

Quantum Physics · Physics 2016-02-10 Teodora Oniga , Charles H. -T. Wang

The interaction of coherent light with a nonlinear medium is modeled here by a general quantum anharmonic oscillator. The model is not exactly solvable in a closed analytical form. But we need operator solutions of the equations of motion…

Quantum Physics · Physics 2007-05-23 Anirban Pathak

Fast moving classical variables can generate quantum mechanical behavior. We demonstrate how this can happen in a model. The key point is that in classically (ontologically) evolving systems one can still define a conserved quantum energy.…

Quantum Physics · Physics 2021-09-02 Gerard t Hooft

Vacuum field fluctuations exert a radiation pressure which induces mechanical effects on scatterers. The question naturally arises whether the energy of vacuum fluctuations gives rise to inertia and gravitation in agreement with the general…

Quantum Physics · Physics 2007-05-23 Marc-Thierry Jaekel , Serge Reynaud

The critical Casimir force (CCF) arises from confining fluctuations in a critical fluid and thus it is a fluctuating quantity itself. While the mean CCF is universal, its (static) variance has previously been found to depend on the…

Statistical Mechanics · Physics 2021-06-21 Markus Gross , Andrea Gambassi , S. Dietrich

Recent studies have extensively explored chaotic dynamics in quantum optical systems through the mean-field approximation, which corresponds to an ideal, fluctuation-free scenario. However, the inherent sensitivity of chaos to initial…

Quantum Physics · Physics 2026-01-16 Mei-Qi Gao , Song-hai Li , Xun Li , Xingli Li , Jiong Cheng , Wenlin Li

This study shows the connection between three previously observed but seemingly unrelated phenomena in hydrodynamic (HD) and magnetohydrodynamic (MHD) turbulent flows, involving the emergence of fluctuations occurring on very long time…

Fluid Dynamics · Physics 2015-05-28 P. Dmitruk , P. D. Mininni , A. Pouquet , S. Servidio , W. H. Matthaeus

We introduce a framework to identify Fluctuation Relations for vector-valued observables in physical systems evolving through a stochastic dynamics. These relations arise from the particular structure of a suitable entropic functional and…

Statistical Mechanics · Physics 2025-10-22 Raphael Chetrite , Stefano Marcantoni

We study a quantum model of dynamical Casimir effect in an optical cavity enclosed by a freely moving mirror attached to a harmonic spring. The quantum fluctuations of the friction force exerted by the dynamical Casimir emission onto the…

Quantum Physics · Physics 2020-01-29 Salvatore Butera , Iacopo Carusotto

"\textit{The noise is the signal}"[R. Landauer, Nature \textbf{392}, 658 (1998)] emphasizes the rich information content encoded in fluctuations. This paper assesses the dynamical role of fluctuations of a quantum system driven far from…

Quantum Physics · Physics 2015-03-10 Yi-Jen Chen , Stefan Pabst , Zheng Li , Oriol Vendrell , Robin Santra

One of the most intriguing manifestations of quantum zero-point fluctuations are the van der Waals and Casimir forces, often associated with vacuum fluctuations of the electromagnetic field. Here we study generalized fluctuation potentials…

Quantum Physics · Physics 2018-05-01 Ephraim Shahmoon , Ulf Leonhardt

The effects of reflecting boundaries on vacuum electric field fluctuations are treated. The presence of the boundaries can enhance these fluctuations and possibly lead to observable effects. The electric field fluctuations lead to voltage…

Quantum Physics · Physics 2022-05-03 L. H. Ford

The radiation pressure coupling with vacuum fluctuations gives rise to energy damping and decoherence of an oscillating particle. Both effects result from the emission of pairs of photons, a quantum effect related to the fluctuations of the…

Quantum Physics · Physics 2007-05-23 Paulo A. Maia Neto , Diego A. R. Dalvit

This article reviews recent theoretical and experimental advances in the fundamental understanding and active control of quantum fluids of light in nonlinear optical systems. In presence of effective photon-photon interactions induced by…

Quantum Gases · Physics 2013-02-25 Iacopo Carusotto , Cristiano Ciuti

We theoretically study the Casimir-Polder force on an atom in a arbitrary initial state in a rather general electromagnetic environment wherein the materials may have a nonreciprocal bianisotropic dispersive response. It is shown that under…

Quantum Physics · Physics 2018-02-28 Mário G. Silveirinha , S. Ali Hassani Gangaraj , George W. Hanson , Mauro Antezza

The famous Johnson-Nyquist formula relating noise current to conductance has a microscopic generalization relating noise current density to microscopic conductivity, with corollary relations governing noise in the components of the…

Computational Physics · Physics 2013-08-27 M. T. Homer Reid , Alejandro W. Rodriguez , Steven G. Johnson

We review studies of the fluctuations of light made accessible by the invention of the laser and the strong interactions realized in cavity QED experiments. Photon antibunching advocating the discrete (particles), is contrasted with…

Quantum Physics · Physics 2007-05-23 H. J. Carmichael