Measuring the Hannay geometric phase

FANCHIOTTI, H.; GARCÍA CANAL, C.A.; MAYOSKY, M.; VEIGA, A.; VENTO, V.

AMERICAN JOURNAL OF PHYSICS

AMER ASSOC PHYSICS TEACHERS AMER INST PHYSICS

Año: 2022 vol. 90 p. 430 - 435

0002-9505

The Hannay geometric phase is the classical analog of the well-known Berry phase. Its most familiar example is the effect of the latitude λ on the motion of a Foucault pendulum. We describe an electronic network whose behavior is exactly equivalent to that of the pendulum. The circuit can be constructed from off-the-shelf components using two matched transconductance amplifiers that comprise a gyrator to introduce the non-reciprocal behavior needed to mimic the pendulum. One may precisely measure the dependence of the Hannay phase on λ by circuit simulation and by laboratory measurements on a constructed circuit.