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The correlation function of the quantum fluctuations due to collective excitations is calculated and used to investigate the phase diffusion of a Bose-Einstein condensate close to zero temperature. It is shown that the phase diffusion time…

Soft Condensed Matter · Physics 2015-06-24 Hongwei Xiong , Shujuan Liu , Guoxiang Huang

The exact analytical expressions for the time-dependent cross-correlations of the translational and rotational Brownian displacements of a particle with arbitrary shape were derived by us in [J. Chem. Phys. 142, 214902 (2015) and 144,…

Soft Condensed Matter · Physics 2018-10-09 B. Cichocki , M. L. Ekiel-Jezewska , E. Wajnryb

We explicitly determine the large deviation function of the energy flow of a Brownian particle coupled to two heat baths at different temperatures. This toy model, initially introduced by Derrida and Brunet [B. Derrida and E. Brunet, in…

Statistical Mechanics · Physics 2007-05-23 Paolo Visco

We consider heat exchange processes between non-equilibrium aging systems (in their activated regime) and the thermal bath in contact. We discuss a scenario where two different heat exchange processes concur in the overall heat dissipation:…

Soft Condensed Matter · Physics 2009-11-10 A. Crisanti , F Ritort

Distribution functions defined in accord with the quantum theory of measurement are combined with results obtained from the quantum Langevin equation to discuss decoherence in quantum Brownian motion. Closed form expressions for wave packet…

Quantum Physics · Physics 2009-11-10 G. W. Ford , J. T. Lewis , R. F. O'Connell

We introduce a type of quantum dissipation -- local quantum friction -- by adding to the Hamiltonian a local potential that breaks time-reversal invariance so as to cool the system. Unlike the Kossakowski-Lindblad master equation, local…

Nuclear Theory · Physics 2013-05-30 Aurel Bulgac , Michael McNeil Forbes , Kenneth J. Roche , Gabriel Wlazłowski

The fluctuation-dissipation relation (FDR) links thermal fluctuations and dissipation at thermal equilibrium through temperature. Extending it beyond equilibrium conditions in pursuit of broadening thermodynamics is often feasible, albeit…

Statistical Mechanics · Physics 2025-02-04 Dima Boriskovsky , Benjamin Lindner , Yael Roichman

We derive the uncertainty relation for a quantum open system comprised of a Brownian particle interacting with a bath of quantum oscillators at finite temperature. We examine how the quantum and thermal fluctuations of the environment…

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

We experimentally study the statistical properties of the energy fluxes between two trapped Brownian particles, interacting through dissipative hydrodynamic coupling, submitted to an effective temperature difference $\Delta T$, obtained by…

Statistical Mechanics · Physics 2016-02-17 A Bérut , A Imparato , A Petrosyan , S Ciliberto

For the purpose of understanding the quantum behavior such as quantum decoherence, fluctuations, dissipation, entanglement and teleportation of a mesoscopic or macroscopic object interacting with a general environment, we derive here a set…

Quantum Physics · Physics 2007-12-09 Chung-Hsien Chou , B. L. Hu , Ting Yu

The study of thermodynamic fluctuations allows one to relate the free energy difference between two equilibrium states with the work done on a system through processes far from equilibrium. This finding plays a crucial role in the quantum…

We consider a one-dimensional Brownian motion under nonequilibrium feedback control. Generally, the fluctuation-dissipation theorem (FDT) is violated in driven systems under nonequilibrium conditions. We find that the degree of the FDT…

Statistical Mechanics · Physics 2013-06-13 Sosuke Ito , Masaki Sano

We consider a model of a two-dimensional molecular machine - called Brownian gyrator - that consists of two coordinates coupled to each other and to separate heat baths at temperatures respectively $T_x$ and $T_y$. We consider the limit in…

Statistical Mechanics · Physics 2020-11-09 Sara Cerasoli , Victor Dotsenko , Gleb Oshanin , Lamberto Rondoni

We study a quantum harmonic oscillator linearly coupled through the position operator $\hat{q}$ to a first bath and through the momentum operator $\hat{p}$ to a second bath yielding an Ohmic-Drude dissipation. We analyse the oscillator's…

Mesoscale and Nanoscale Physics · Physics 2016-07-27 G. Rastelli

A self-consistent mode coupling theory (MCT) with microscopic inputs of equilibrium pair correlation functions is developed to analyze electrolyte dynamics. We apply the theory to calculate concentration dependence of (i) time dependent ion…

Statistical Mechanics · Physics 2015-01-09 Susmita Roy , Subramanian Yashonath , Biman Bagchi

We use the quantum Brownian model to derive the uncertainty relation for a quantum open system in an arbitrarily-squeezed initial state interacting with an environment at finite temperature. We examine the relative importance of the quantum…

General Relativity and Quantum Cosmology · Physics 2019-06-05 B. L. Hu , Yuhong Zhang

An equation for the reduced density matrix which describes a free particle, that is interacting with a linearly dissipative medium, is derived using the total Hamiltonian, and without resorting to any artificial model. A Master equation is…

Statistical Mechanics · Physics 2007-05-23 W. H. Richardson

We introduce a non-equilibrium version of the Caldeira-Leggett model in which a quantum particle is strongly coupled to a set of engineered reservoirs. The reservoirs are composed by collections of squeezed and displaced thermal modes, in…

Quantum Physics · Physics 2026-05-19 Vasco Cavina , Massimiliano Esposito

In the vicinity of ground-state phase transitions quantum correlations can display non-analytic behavior and critical scaling. This signature of emergent collective effects has been widely investigated within a broad range of equilibrium…

Statistical Mechanics · Physics 2022-08-31 Mario Boneberg , Igor Lesanovsky , Federico Carollo

We discuss the random motion of charged test particles driven by quantum electromagnetic fluctuations at finite temperature in both the unbounded flat space and flat spacetime with a reflecting boundary and calculate the mean squared…

High Energy Physics - Theory · Physics 2007-05-23 Hongwei Yu , Jun Chen , Puxun Wu