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arXiv · 2609.31052

Measurement protocol for non-adiabatic geometric phases of Floquet states

Carlos Martín-Fernández·Gloria Platero·Sigmund Kohler
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Abstract

Periodically time-dependent quantum systems have Floquet solutions. They consist of a phase factor and a Floquet mode which shares the periodicity of the driving. Consequently, any such solution possesses a non adiabatic geometric phase known as the Aharonov-Anandan (AA) phase. It is gauge-invariant and, therefore, is experimentally accessible. We propose a protocol for the measurement of AA phases based on the adiabatic change of the phase of the non-adiabatic driving. We argue that the experimental requirements of the protocol are those of previous measurements of adiabatic phases.

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Carlos Martín-Fernández, Gloria Platero, Sigmund Kohler. 2026-09-25. Measurement protocol for non-adiabatic geometric phases of Floquet states. https://arxiv.org/abs/2609.31052

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