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Planar thermal equilibration is studied using direct numerical simulations of ultracold two-dimensional (2D) ion crystals in a Penning trap with a rotating wall. The large magnetic field of the trap splits the modes that describe in-plane…

Shortcuts to isothermality provide a powerful method to speed up quasistatic thermodynamic processes within finite-time manipulation. We employ the shortcut strategy to design and optimize Brownian heat engines, and formulate a geometric…

Statistical Mechanics · Physics 2022-11-04 Jin-Fu Chen

Quantum noise correlations have been employed in several areas in physics including condensed matter, quantum optics and ultracold atom to reveal non-classical states of the systems. So far, such analysis mostly focused on systems in…

Quantum Gases · Physics 2011-07-22 Takuya Kitagawa , Adilet Imambekov , Jörg Schmiedmayer , Eugene Demler

Considerable progress has recently been made with geometrical approaches to understanding and controlling small out-of-equilibrium systems, but a mathematically rigorous foundation for these methods has been lacking. Towards this end, we…

Statistical Mechanics · Physics 2022-04-06 Neha S. Wadia , Ryan V. Zarcone , Michael R. DeWeese

We analyze the classical problem of the stochastic dynamics of a particle confined in a periodic potential, through the so called Il'in and Khasminskii model, with a novel semi-analytical approach. Our approach gives access to the transient…

Statistical Mechanics · Physics 2018-01-19 Antonio Piscitelli , Massimo Pica Ciamarra

Living systems regulate many aspects of their behavior through periodic oscillations of molecular concentrations, which function as `biochemical clocks.' These clocks are intrinsically subject to thermal fluctuations, so that the duration…

Biological Physics · Physics 2020-08-10 Robert Marsland , Wenping Cui , Jordan M. Horowitz

In this article, we use geometric optimal control to completely solve the problem of minimum-time transitions between thermal equilibrium states of the quantum parametric oscillator, which finds applications in various physical contexts. We…

Optimization and Control · Mathematics 2018-04-17 Dionisis Stefanatos

We numerically study the evolution of a classical real scalar field in ${(1+1)}$ dimensions with initial conditions describing thermal fluctuations around a metastable vacuum. We track false vacuum decay in real time and compare several…

High Energy Physics - Theory · Physics 2024-11-06 Dalila Pîrvu , Andrey Shkerin , Sergey Sibiryakov

Recently many results namely the Fluctuation theorems (FT), have been discovered for systems arbitrarily away from equilibrium. Many of these relations have been experimentally tested. The system under consideration is usually driven out of…

Statistical Mechanics · Physics 2019-10-02 Rahul Marathe , Sourabh Lahiri

We analyze the dynamics of two atoms with a short-ranged pair interaction in a one-dimensional harmonic trap with time-dependent frequency. Our analysis is focused on two representative cases: (i) a sudden change of the trapping frequency…

Quantum Gases · Physics 2019-07-15 M. Ebert , A. Volosniev , H. -W. Hammer

We present a Brownian dynamics simulation of the bacterial Stirling engine studied by Krishnamurthy et al., Nat. Phys. 12, 1134 (2016). In their experimental setup, an overdamped colloid in an optical trap with time-modulated stiffness…

Soft Condensed Matter · Physics 2025-02-04 Roland Wiese , Klaus Kroy , Viktor Holubec

We study the thermodynamic properties of a microscopic model of coupled oscillators that exhibits a dynamical phase transition from a desynchronized to a synchronized phase. We consider two different configurations for the thermodynamic…

Statistical Mechanics · Physics 2015-12-14 Alberto Imparato

The second law of thermodynamics sets a lower bound on the work required to drive a system between thermal equilibrium states, with equality attained in the quasistatic limit. For finite-time processes, part of the extractable work is…

Quantum Physics · Physics 2025-11-20 Masaaki Tokieda

We propose a reduction scheme for a system constituted by two coupled harmonically-bound Brownian oscillators. We reduce the description by constructing a lower dimensional model which inherits some of the basic features of the original…

Statistical Mechanics · Physics 2023-01-04 Matteo Colangeli , Manh Hong Duong , Adrian Muntean

When a Brownian particle in contact with a heat bath at a constant temperature is controlled by a time-dependent harmonic potential, its distribution function can be rigorously derived from the Kramers equation with the consideration of the…

Statistical Mechanics · Physics 2014-06-03 Z. C. Tu

The thermal response of nonequilibrium systems requires the knowledge of concepts that go beyond entropy production. This is showed for systems obeying overdamped Langevin dynamics, either in steady states or going through a relaxation…

Statistical Mechanics · Physics 2016-08-31 Gianmaria Falasco , Marco Baiesi

We consider energetics and structural properties of a many particle system in one dimension with pairwise contact interactions confined in a parabolic external potential. To render the problem analytically solvable, we use the harmonic…

Quantum Gases · Physics 2012-12-20 J. R. Armstrong , N. T. Zinner , D. V. Fedorov , A. S. Jensen

We consider an isothermal machine composed of two Brownian particles (say particle A and B) connected by a harmonic spring. A constant load is attached to particle A, and the particle B is trapped in a harmonic confinement whose minimum is…

Statistical Mechanics · Physics 2018-08-01 Deepak Gupta

The energetic efficiency of an overdamped Brownian particle in a saw tooth potential in the presence of time asymmetric forcing is studied in the adiabatic limit. An error made in the earlier work on the same problem in literature is…

Statistical Mechanics · Physics 2007-05-23 Raishma Krishnan , Soumen Roy , A. M. Jayannavar

While the zero-temperature properties of harmonically trapped cold few-atom systems have been discussed fairly extensively over the past decade, much less is known about the finite-temperature properties. Working in the canonical ensemble,…

Quantum Gases · Physics 2015-06-22 Yangqian Yan , D. Blume