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Quantum Circuit Design Gate Engineering

Hidden time-nonlocal Floquet symmetries

arXiv
Authors: Sigmund Kohler, Jesús Casado-Pascual

Year

2026

Paper ID

4035

Status

Preprint

Abstract Read

~2 min

Abstract Words

114

Citations

N/A

Abstract

We investigate the Floquet spectrum of a detuned, driven two-level system and show that it exhibits exact quasienergy crossings when the detuning is an integer multiple of the energy quantum of the driving field. This behavior can be explained by a hidden time-nonlocal parity, which allows the Floquet modes to be classified as even or odd. Then a generic feature is the emergence of exact crossings between quasienergies of different parity. A constructive proof of the existence of the symmetry is based on a scalar recurrence relation. Moreover, we present a general scheme for its numerical computation, which can be applied to models beyond the two-level system. Analytical results are illustrated with numerical data.

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  • We investigate the Floquet spectrum of a detuned, driven two-level system and show that it exhibits exact quasienergy crossings when the detuning is an integer multiple of the...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2601.05783 [2] arXiv https://arxiv.org/abs/2601.05783 [3] Publisher https://arxiv.org/abs/2601.05783

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