PreprintCC BY 4.0arXiv
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.
Related
- Floquet physics from quantized light-matter interaction: geometric phases, gauge consistency, and entanglement
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- Geometric-phase control of Krylov complexity in adiabatic dynamics
- Autonomous stabilization of many-body entanglement with Floquet Hamiltonians and weak measurement
BibTeX
@misc{martinfernandez2026measurement,
title = {{Measurement protocol for non-adiabatic geometric phases of Floquet states}},
author = {Carlos Martín-Fernández and Gloria Platero and Sigmund Kohler},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.31052},
eprint = {2609.31052},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.31052},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Measurement protocol for non-adiabatic geometric phases of Floquet states
AU - Carlos Martín-Fernández
AU - Gloria Platero
AU - Sigmund Kohler
PY - 2026
DA - 2026/09/25
PB - arXiv
DO - 10.48550/arxiv.2609.31052
UR - https://arxiv.org/abs/2609.31052
AB - 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.
ER -