Virtual potential created by a feedback loop: taming the feedback demon to explore stochastic thermodynamics of underdamped systems

Fuente: arXiv
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Main Authors: Dago, Salambô, Barros, Nicolas, Pereda, Jorge, Ciliberto, Sergio, Bellon, Ludovic
Format: Preprint
Published: 2023
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author Dago, Salambô
Barros, Nicolas
Pereda, Jorge
Ciliberto, Sergio
Bellon, Ludovic
author_facet Dago, Salambô
Barros, Nicolas
Pereda, Jorge
Ciliberto, Sergio
Bellon, Ludovic
contents Virtual potentials are an elegant, precise and flexible tool to manipulate small systems and explore fundamental questions in stochastic thermodynamics. In particular double-well potentials have applications in information processing, such as the demonstration of Landauer's principle. In this chapter, we detail the implementation of a feedback loop for an underdamped system, in order to build a tunable virtual double-well potential. This feedback behaves as a demon acting on the system depending on the outcome of a continuously running measurement. It can thus modify the energy exchanges with the thermostat and create an out-of-equilibrium state. To create a bi-stable potential, the feedback consists only in switching an external force between two steady values when the measured position crosses a threshold. We show that a small delay of the feedback loop in the switches between the two wells results in a modified velocity distribution. The latter can be interpreted as a cooling of the kinetic temperature of the system. Using a fast digital feedback, we successfully address all experimental issues to create a virtual potential that is statistically indistinguishable from a physical one, with a tunable barrier height and energy step between the two wells.
format Preprint
id arxiv_https___arxiv_org_abs_2311_12687
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Virtual potential created by a feedback loop: taming the feedback demon to explore stochastic thermodynamics of underdamped systems
Dago, Salambô
Barros, Nicolas
Pereda, Jorge
Ciliberto, Sergio
Bellon, Ludovic
Statistical Mechanics
Mesoscale and Nanoscale Physics
Virtual potentials are an elegant, precise and flexible tool to manipulate small systems and explore fundamental questions in stochastic thermodynamics. In particular double-well potentials have applications in information processing, such as the demonstration of Landauer's principle. In this chapter, we detail the implementation of a feedback loop for an underdamped system, in order to build a tunable virtual double-well potential. This feedback behaves as a demon acting on the system depending on the outcome of a continuously running measurement. It can thus modify the energy exchanges with the thermostat and create an out-of-equilibrium state. To create a bi-stable potential, the feedback consists only in switching an external force between two steady values when the measured position crosses a threshold. We show that a small delay of the feedback loop in the switches between the two wells results in a modified velocity distribution. The latter can be interpreted as a cooling of the kinetic temperature of the system. Using a fast digital feedback, we successfully address all experimental issues to create a virtual potential that is statistically indistinguishable from a physical one, with a tunable barrier height and energy step between the two wells.
title Virtual potential created by a feedback loop: taming the feedback demon to explore stochastic thermodynamics of underdamped systems
topic Statistical Mechanics
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2311.12687