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The Berry-Foucault Pendulum

2022/12/21 by D. D. Solnyshkov, Solnyshkov, D. D., I. Septembre +5
Physics and Astronomy · #Quantum, superfluid, helium dynamics #Mechanical and Optical Resonators #Quantum and Classical Electrodynamics

paper · pdf · doi:10.48550/arxiv.2212.11003

Abstract

The geometric phase is known to play a role both in the rotation of the Foucault pendulum and in the anomalous Hall effect (AHE) due to the Berry curvature. Here, we show that a 2D harmonic oscillator with AHE induced by Berry curvature behaves exactly like the Foucault pendulum: in both, the plane of the oscillations rotates with time. The rotating pendulum configuration enhances the AHE, simplifying its observation and allowing high-precision measurements of the Berry curvature. We also show how the non-adiabaticity and anharmonicity determine the maximal rotation angle and find the optimal conditions for the observations.

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