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arXiv · 2110.15711

Study of geometric phase using classical coupled oscillators

Sharba Bhattacharjee·Biprateep Dey·Ashok K Mohapatra
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Abstract

We illustrate the geometric phase associated with the cyclic dynamics of a classical system of coupled oscillators. We use an analogy between a classical coupled oscillator and a two-state quantum mechanical system to represent the evolution of the oscillator on an equivalent Hilbert space, which may be represented as a trajectory on the surface of a sphere. The cyclic evolution of the system leads to a change in phase, which consists of a dynamic phase along with an additional phase shift dependent on the geometry of the evolution. A simple experiment suitable for advanced undergraduate students is designed to study the geometric phase incurred during cyclic evolution of a coupled oscillator.

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Sharba Bhattacharjee, Biprateep Dey, Ashok K Mohapatra. 2021-10-05. Study of geometric phase using classical coupled oscillators. https://doi.org/10.1088/1361-6404%2Faaa8a2

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