Reversible feedback confinement

Abstract

We present a feedback protocol that is able to confine a system to a single micro-state without heat dissipation. The protocol adjusts the Hamiltonian of the system in such a way that the Bayesian posterior distribution after measurement is in equilibrium. As a result, the whole process satisfies feedback reversibility -- the process is indistinguishable from its time reversal -- and assures the lowest possible dissipation for confinement. In spite of the whole process being reversible it can surprisingly be implemented in finite time. We illustrate the idea with a Brownian particle in a harmonic trap with increasing stiffness and present a general theory of reversible feedback confinement for systems with discrete states.

arXiv comment9 pages, 1 figure

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Cited by in corpus (6)

• Path-integral formalism for stochastic resetting: Exactly solved examples and shortcuts to confinement
• Traveling band formation in feedback-driven colloids
• Maximal fluctuation exploitation in Gaussian information engines
• Extracting work optimally with imprecise measurements
• Optimal Work Extraction and the Minimum Description Length Principle
• Geometric Brownian Information Engine: Essentials for the best performance