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Related papers: Rectifying fluctuations in an optical lattice

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We consider the two dimensional motion of a particle into a confining potential, subjected to Brownian forces, associated with two different temperatures on the orthogonal directions. Exact solutions are obtained for an asymmetric harmonic…

Statistical Mechanics · Physics 2018-05-23 Vincent Mancois , Bruno Marcos , Pascal Viot , David Wilkowski

R. Labouvie et al. [Phys. Rev. Lett. 116, 235302 (2016)] have described an experiment with a weakly interacting Bose-Einstein condensate trapped in a one-dimensional optical lattice with localized loss created by a focused electron beam. We…

Quantum Physics · Physics 2019-07-24 Felix Kogel , Sebastian Kotzur , Daniel Dizdarevic , Jörg Main , Günter Wunner

Quantum Brownian motion in the strong friction limit is studied based on the exact path integral formulation of dissipative systems. In this limit the time-nonlocal reduced dynamics can be cast into an effective equation of motion, the…

Statistical Mechanics · Physics 2009-11-10 Joachim Ankerhold , Hermann Grabert , Philip Pechukas

We present a diagrammatic formulation of a theory for the time dependence of density fluctuations in equilibrium systems of interacting Brownian particles. To facilitate derivation of the diagrammatic expansion we introduce a basis that…

Soft Condensed Matter · Physics 2009-11-13 Grzegorz Szamel

In active Brownian motion, an internal propulsion mechanism interacts with translational and rotational thermal noise and other internal fluctuations to produce directed motion. We derive the distribution of its extreme fluctuations and…

Statistical Mechanics · Physics 2016-05-04 Patrick Pietzonka , Kevin Kleinbeck , Udo Seifert

We consider a finite or countable collection of one-dimensional Brownian particles whose dynamics at any point in time is determined by their rank in the entire particle system. Using Transportation Cost Inequalities for stochastic…

Probability · Mathematics 2010-11-11 Soumik Pal , Mykhaylo Shkolnikov

We reinvestigate a paradigmatic model of nonequilibrium statistical physics consisting of an inertial Brownian particle in a symmetric periodic potential subjected to both a time--periodic force and a static bias. In doing so we focus on…

Statistical Mechanics · Physics 2023-06-21 Mateusz Wiśniewski , Jakub Spiechowicz

The response of cold atom gases to small periodic phase modulation of an optical lattice is discussed. For bosonic gases, the energy absorption rate is given, within linear response theory, by imaginary part of the current correlation…

Quantum Gases · Physics 2013-05-29 Akiyuki Tokuno , Thierry Giamarchi

The time-reversal symmetry of nonequilibrium fluctuations is experimentally investigated in two out-of-equilibrium systems namely, a Brownian particle in a trap moving at constant speed and an electric circuit with an imposed mean current.…

Statistical Mechanics · Physics 2016-08-31 David Andrieux , Pierre Gaspard , Sergio Ciliberto , Nicolas Garnier , Sylvain Joubaud , Artyom Petrosyan

Optomechanical systems show tremendous promise for high sensitivity sensing of forces and modification of mechanical properties via light. For example, similar to neutral atoms and trapped ions, laser cooling of mechanical motion by…

Quantum Physics · Physics 2017-06-07 Xunnong Xu , Thomas Purdy , Jacob M. Taylor

We investigate first and second order fluctuations of additive functionals of a fractional Brownian motion (fBm) of the form \begin{align}\label{eq:abstractmain} Z_n=\left\{\int_{0}^{t}f(n^{H}(B_{s}-\lambda))ds\ ; t\geq 0 \right\}…

Probability · Mathematics 2021-08-02 Arturo Jaramillo , Ivan Nourdin , David Nualart , Giovanni Peccati

A Brownian motion model is proposed to study parametric correlations in the transmission eigenvalues of open ballistic cavities. We find interesting universal properties when the eigenvalues are rescaled at the hard edge of the spectrum. We…

Condensed Matter · Physics 2009-10-28 A. M. S. Macedo

We consider a massive inelastic piston, whose opposite faces have different coefficients of restitution, moving under the action of an infinitely dilute gas of hard disks maintained at a fixed temperature. The dynamics of the piston is…

Statistical Mechanics · Physics 2008-06-06 G. Costantini , U. Marini Bettolo Marconi , A. Puglisi

Based on recent work [L. Machura, M. Kostur, P. Talkner, J. Luczka, and P. Hanggi, Phys. Rev. Lett. 98, 040601 (2007)], we extend the study of inertial Brownian motors to the case of an asymmetric potential. It is found that some transport…

Statistical Mechanics · Physics 2009-11-13 Bao-quan Ai , Liang-gang Liu

By enhancing electron position fluctuations, equilibrium electromagnetic radiation modifies the potential for an electron in a Hydrogen atom. This can have significant effects for weakly bound states and especially at finite temperature.…

Atomic Physics · Physics 2012-03-07 Eugene B. Kolomeisky

The nonequilibrium response and fluctuations of Markovian systems, both near and far from equilibrium, are best understood by varying their parameters along dynamical equivalence classes. In this note, I illustrate this approach for an…

Statistical Mechanics · Physics 2024-04-03 David Andrieux

Two losing games, when alternated in a periodic or random fashion, can produce a winning game. This paradox occurs in a family of stochastic processes: if one combines two or more dynamics where a given quantity decreases, the result can be…

Statistical Mechanics · Physics 2007-05-23 J. M. R. Parrondo , B. J. de Cisneros

We provide insights into energetics of a Brownian oscillator in contact with a heat bath and driven by an external unbiased time-periodic force that takes the system out of thermodynamic equilibrium. Solving the corresponding Langevin…

Statistical Mechanics · Physics 2018-03-06 Mohammad Yaghoubi , M. Ebrahim Foulaadvand , Antoine Bérut , Jerzy Łuczka

Onsager symmetry implies that a Brownian motor, driven by a temperature gradient, will also perform a refrigerator function upon loading. We analytically calculate the corresponding heat flux for an exactly solvable microscopic model and…

Statistical Mechanics · Physics 2007-05-23 C. Van den Broeck , R. Kawai

We analyze quantal Brownian motion in $d$ dimensions using the unified model for diffusion localization and dissipation, and Feynman-Vernon formalism. At high temperatures the propagator possess a Markovian property and we can write down an…

Condensed Matter · Physics 2009-10-31 Doron Cohen