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We have developed a new in situ method to calibrate optical tweezers experiments and simultaneously measure the size of the trapped particle or the viscosity of the surrounding fluid. The positional fluctuations of the trapped particle are…

Soft Condensed Matter · Physics 2012-08-19 Matthias Grimm , Thomas Franosch , Sylvia Jeney

The very notion of a current fluctuation is problematic in the quantum context. We study that problem in the context of nonequilibrium statistical mechanics, both in a microscopic setup and in a Markovian model. Our answer is based on a…

Statistical Mechanics · Physics 2015-05-14 Jan Derezinski , Wojciech De Roeck , Christian Maes

In this paper we investigate the Quantum Brownian motion of a point particle induced by quantum vacuum fluctuations of a massless scalar field in (3 + 1)-dimensional Minkowski spacetime with distinct conditions (Dirichlet, Neumann, mixed…

High Energy Physics - Theory · Physics 2023-05-10 Éwerton J. B. Ferreira , Eliza M. B. Guedes , Herondy F. Santana Mota

We show a completely analytical approach to the decoherence induced by a zero temperature environment on a Brownian test particle. We consider an Omhic environment bilinearly coupled to an oscillator and compute the master equation. From…

Quantum Physics · Physics 2016-09-08 Fernando C. Lombardo , Paula I. Villar

Optomechanical systems provide a means for studying and controlling quantum effects in the motion of macroscopic objects. To date, quantum optomechanical effects have been studied in objects made from solids and gases. Here we describe…

The dynamics of a tracer molecule near a fluid membrane is investigated, with particular emphasis given to the interplay between the instantaneous position of the particle and membrane fluctuations. It is found that hydrodynamic…

Soft Condensed Matter · Physics 2009-11-11 Thomas Bickel

All physical systems are to some extent open and interacting with their environment. This insight, basic as it may seem, gives rise to the necessity of protecting quantum systems from decoherence in quantum technologies and is at the heart…

Quantum Physics · Physics 2020-05-05 S. Groeblacher , A. Trubarov , N. Prigge , G. D. Cole , M. Aspelmeyer , J. Eisert

The fluctuation-dissipation theorem is a central theorem in nonequilibrium statistical mechanics by which the evolution of velocity fluctuations of the Brownian particle under a fluctuating environment is intimately related to its…

Statistical Mechanics · Physics 2015-05-14 Jen-Tsung Hsiang , Tai-Hung Wu , Da-Shin Lee

The condition of thermal equilibrium simplifies the theoretical treatment of fluctuations as found in the celebrated Einstein's relation between mobility and diffusivity for Brownian motion. Several recent theories relax the hypothesis of…

Statistical Mechanics · Physics 2014-04-10 Andrea Gnoli , Andrea Puglisi , Alessandro Sarracino , Angelo Vulpiani

The Macroscopic Fluctuation Theory is an effective framework to describe transports and their fluctuations in classical out-of-equilibrium diffusive systems. Whether the Macroscopic Fluctuation Theory may be extended to the quantum realm…

Statistical Mechanics · Physics 2021-11-05 Denis Bernard

The quantum thermodynamic behavior of small systems is investigated in presence of finite quantum dissipation. We consider the archetype cases of a damped harmonic oscillator and a free quantum Brownian particle. A main finding is that…

Quantum Physics · Physics 2007-05-23 Peter Hänggi , Gert-Ludwig Ingold

The Brownian motion of a point particle induced by quantum vacuum fluctuations of a massless real scalar field in Einstein's universe is studied. By assuming the small displacement condition, the dispersion in the momentum and position of a…

General Relativity and Quantum Cosmology · Physics 2024-04-09 E. J. B. Ferreira , H. F. Santana Mota

The Brownian motion of a charged test particle caused by quantum electromagnetic vacuum fluctuations between two perfectly conducting plates is examined and the mean squared fluctuations in the velocity and position of the test particle are…

Quantum Physics · Physics 2009-11-10 Hongwei Yu , Jun Chen

We have studied the temporal evolution of a quantum system subjected to strong dissipation at ultra-low temperatures where the system-bath interaction represents the leading energy scale. In this regime, theory predicts the time evolution…

A hierarchical equations of motion formalism for a quantum dissipation system in a grand canonical bath ensemble surrounding is constructed, on the basis of the calculus-on-path-integral algorithm, together with the parametrization of…

Statistical Mechanics · Physics 2009-11-11 Jinshuang Jin , Sven Welack , JunYan Luo , Xin-Qi Li , Ping Cui , Rui-Xue Xu , YiJing Yan

In the studies of quantum field theory in curved spacetime, the ambiguous concept of vacuum state and the particle content is a long-standing debatable aspect. So far it is well known to us that in the background of the curved spacetime,…

General Relativity and Quantum Cosmology · Physics 2019-10-16 Ashmita Das , Surojit Dalui , Chandramouli Chowdhury , Bibhas Ranjan Majhi

We study the fluctuation-induced dissipative dynamics of the quantized center of mass motion of a polarizable dielectric particle trapped near a surface. The particle's center of mass is treated as an open quantum system coupled to the…

Quantum Physics · Physics 2020-03-18 Kanupriya Sinha , Yigit Subasi

We examine the fluctuation theorems which traditionally have been studied for classical systems and enquire if they can be extended to the quantum domain, especially at low temperatures. The example chosen is that of a problem which has…

Quantum Physics · Physics 2016-06-29 G. S. Agarwal , S. Dattagupta

We use the quantum Brownian model to derive the uncertainty relation for a quantum open system. We examine how the fluctuations of a quantum system evolve after it is brought in contact with a heat bath at finite temperature. We study the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 B. L. Hu , Yuhong Zhang

The classical theory of Brownian motion rests on fundamental laws of statistical mechanics, such as the equipartition theorem and the fluctuation-dissipation theorem, which are not applicable in non-isothermal situations. We derive the…

Statistical Mechanics · Physics 2014-06-10 Gianmaria Falasco , Manuel Victor Gnann , Klaus Kroy