Measurement protocol for non-adiabatic geometric phases of Floquet states

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.

Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Quantum Physics (quant-ph)

arXiv:2609.31052 [cond-mat.mes-hall]

(or arXiv:2609.31052v1 [cond-mat.mes-hall] for this version)

https://doi.org/10.48550/arXiv.2609.31052 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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