Measurement protocol for non-adiabatic geometric phases of Floquet states
cond-mat.mes-hall, quant-ph
Submitted: 2026-09-25
Updated: 2026-09-25
Comments: 12 pages, 7 figures
License: http://creativecommons.org/licenses/by/4.0/
The gist: Periodically time-dependent quantum systems have Floquet solutions.
Terminology
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.
Sources
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