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We study the optimal performance of an information engine consisting of an overdamped Brownian bead confined in a controllable, $d$-dimensional harmonic trap and additionally subjected to gravity. The trap's center is updated dynamically…

Statistical Mechanics · Physics 2026-02-18 Antonio Patrón Castro , John Bechhoefer , David A. Sivak

A Brownian information engine is a device extracting a mechanical work from a single heat bath by exploiting the information on the state of a Brownian particle immersed in the bath. As for engines, it is important to find the optimal…

Statistical Mechanics · Physics 2016-04-06 J. -M. Park , J. S. Lee , J. D. Noh

By conditioning a stochastic process on the value of an observable, one obtains a new stochastic process with different properties. We apply this idea in the context of active matter, and condition interacting self-propelled particles on…

Statistical Mechanics · Physics 2020-03-04 Francesco Cagnetta , Emil Mallmin

We study a two-level system controlled in a discrete feedback loop, modeling both the system and the controller in terms of stochastic Markov processes. We find that the extracted work, which is known to be bounded from above by the mutual…

Statistical Mechanics · Physics 2015-09-02 Jaegon Um , Haye Hinrichsen , Chulan Kwon , Hyunggyu Park

We introduce a model of interacting random walkers on a finite one dimensional chain with absorbing boundaries or targets at the ends. Walkers are of two types: informed particles that move ballistically towards a given target, and…

Statistical Mechanics · Physics 2015-02-20 Ricardo Martinez-Garcia , Cristobal Lopez , Federico Vazquez

We explore the dynamics of active elements performing persistent random motion with fluctuating active speed and in the presence of translational noise in a $d$-dimensional harmonic trap, modeling active speed generation through an…

Statistical Mechanics · Physics 2025-02-18 Manish Patel , Amir Shee , Debasish Chaudhuri

We present a stylized model of controlled equilibration of a small system in a fluctuating environment. We derive the equations governing the optimal control steering \emph{in finite time} the system between two equilibrium states. The…

Mesoscale and Nanoscale Physics · Physics 2017-07-25 Paolo Muratore-Ginanneschi , Kay Schwieger

We consider a Brownian particle in a harmonic trap. The location of the trap is modulated according to an Ornstein-Uhlenbeck process. We investigate the fluctuation of the work done by the modulated trap on the Brownian particle in a given…

Statistical Mechanics · Physics 2013-02-26 Arnab Pal , Sanjib Sabhapandit

A fluctuation theorem relating the work to its optimal average work is presented. The function mediating the relation is increasing and convex, and depends on the switching time $\tau$, driving strength $\delta\lambda/\lambda_0$, and…

Statistical Mechanics · Physics 2024-07-02 Pierre Nazé

The optimal protocols for the irreversible work achieve their maximum usefulness if their work fluctuations are the smallest ones. In this work, for classical and isothermal processes subjected to finite-time and weak drivings, I show that…

Statistical Mechanics · Physics 2023-11-14 Pierre Nazé

A Brownian particle moving in a staircase-like potential with feedback control offers a way to implement Maxwell's demon. An experimental demonstration of such a system using sinusoidal periodic potential carried out by Toyabe et al. has…

Statistical Mechanics · Physics 2023-12-29 Kiran V , Toby Joseph

Motivated by various recent experimental findings, we propose a dynamical model of intermittently self-propelled particles: active particles that recurrently switch between two modes of motion, namely an active run-state and a turn state,…

Soft Condensed Matter · Physics 2025-10-30 Agniva Datta , Carsten Beta , Robert Großmann

To achieve efficient and reliable control of microscopic systems one should look for driving protocols that mitigate both the average dissipation and stochastic fluctuations in work. This is especially important in fast driving regimes in…

Quantum Physics · Physics 2023-07-26 Alberto Rolandi , Martí Perarnau-Llobet , Harry J. D. Miller

Implementing fast and high-fidelity quantum operations using open-loop quantum optimal control relies on having an accurate model of the quantum dynamics. Any deviations between this model and the complete dynamics of the device, such as…

Quantum Physics · Physics 2024-10-31 Elie Genois , Noah J. Stevenson , Noah Goss , Irfan Siddiqi , Alexandre Blais

We study the transport of self-propelled particles in dynamic complex environments. To obtain exact results, we introduce a model of run-and-tumble particles (RTPs) moving in discrete time on a $d$-dimensional cubic lattice in the presence…

Statistical Mechanics · Physics 2018-07-12 Thibault Bertrand , Yongfeng Zhao , Olivier Bénichou , Julien Tailleur , Raphaël Voituriez

We study the problem of compilation of quantum algorithms into optimized physical-level circuits executable in a quantum information processing (QIP) experiment based on trapped atomic ions. We report a complete strategy: starting with an…

Quantum Physics · Physics 2017-02-22 Dmitri Maslov

We describe an experiment on an underdamped mechanical oscillator used as an information engine. The system is equivalent to an inertial Brownian particle confined in a harmonic potential whose center is controlled by a feedback protocol…

Statistical Mechanics · Physics 2025-01-23 Aubin Archambault , Caroline Crauste-Thibierge , Sergio Ciliberto , Ludovic Bellon

Single-molecule experiments have found near-perfect thermodynamic efficiency in the rotary motor F1-ATP synthase. To help elucidate the principles underlying nonequilibrium energetic efficiency in such stochastic machines, we investigate…

Statistical Mechanics · Physics 2019-09-05 Joseph N. E. Lucero , Aliakbar Mehdizadeh , David A. Sivak

Because of its nonequilibrium character, active matter in a steady state can drive engines that autonomously deliver work against a constant mechanical force or torque. As a generic model for such an engine, we consider systems that contain…

Statistical Mechanics · Physics 2019-11-15 Patrick Pietzonka , Étienne Fodor , Christoph Lohrmann , Michael E. Cates , Udo Seifert

In this paper we study the problem of computing minimum-energy controls for linear systems from experimental data. The design of open-loop minimum-energy control inputs to steer a linear system between two different states in finite time is…

Optimization and Control · Mathematics 2019-05-01 Giacomo Baggio , Vaibhav Katewa , Fabio Pasqualetti