Virtual double-well potential for an underdamped oscillator created by a feedback loop - Archive ouverte HAL
Article Dans Une Revue Journal of Statistical Mechanics: Theory and Experiment Année : 2022

Virtual double-well potential for an underdamped oscillator created by a feedback loop

Résumé

Virtual potentials are a very 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. Nevertheless, virtual double-well potentials had never been implemented in underdamped systems. In this article, we detail how to face the experimental challenge of creating a feedback loop for an underdamped system (exploring its potential energy landscape much faster than its over-damped counterpart), in order to build a tunable virtual double-well potential. To properly describe the system behavior in the feedback trap, we express the switching time in the double-well for all barrier heights, combining for the first time Kramer's description, valid at high barriers, with an adjusted model for lower ones. We show that a small hysteresis or delay of the feedback loop in the switches between the two wells results in a modified velocity distribution, interpreted as a cooling of the kinetic temperature of the system. We successfully address all issues to create experimentally a virtual potential that is statistically indistinguishable from a physical one, with a tunable barrier height and energy step between the two wells.
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Dates et versions

hal-03740079 , version 1 (28-07-2022)

Identifiants

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Salambô Dago, Jorge Pereda, Sergio Ciliberto, Ludovic Bellon. Virtual double-well potential for an underdamped oscillator created by a feedback loop. Journal of Statistical Mechanics: Theory and Experiment, 2022, 2022 (5), pp.053209. ⟨10.1088/1742-5468/ac6d62⟩. ⟨hal-03740079⟩
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