Virtual potential created by a feedback loop: taming the feedback demon to explore stochastic thermodynamics of underdamped systems
arXiv:2311.12687 · doi:10.1007/978-3-031-57904-2_6
Abstract
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.
arXiv commentProceedings of the "Crossroad of Maxwell Demon" workshop in Toulouse, March 2023, to be published in Volume 15 of the Springer-Nature Series "Advances in Atom and Single Molecule Machines". arXiv admin note: text overlap with arXiv:2201.09870
References in corpus (20)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Generalized Jarzynski Equality under Nonequilibrium Feedback Control
- High-precision test of Landauer's principle in a feedback trap
- Finite-time Landauer principle
- Levitated Nanoparticles for Microscopic Thermodynamics - A Review
- Information and thermodynamics: fast and precise approach to Landauer's bound in an underdamped micro-mechanical oscillator
- Entropy Production of Brownian Macromolecules with Inertia
- Quadrature phase interferometer for high resolution force spectroscopy
- The thermodynamic cost of measurements
- Virtual potentials for feedback traps
- Stochastic thermodynamics of Langevin systems under time-delayed feedback control: I. Second-law-like inequalities
- Information and thermodynamics: Experimental verification of Landauer's erasure principle
- Fluctuation theorems in presence of information gain and feedback
- Dynamics of information erasure and extension of Landauer's bound to fast processes
- Real-time calibration of a feedback trap
- Non-equilibrium steady state of a driven levitated particle with feedback cooling
- Arbitrarily slow, non-quasistatic, isothermal transformations
- Thermal noise of microcantilevers in viscous fluids
- Adiabatic computing for optimal thermodynamic efficiency of information processing
- Reliability and operation cost of underdamped memories during cyclic erasures