Floquet-Sambe Bottleneck and Frequency-Selective Localization in a Driven Synthetic Spin Chain
Abstract
We study a finite Floquet chain in which a uniform nearest-neighbor hopping coexists with a periodically rotating, \textrm{SU(2)}-dictated spin-assisted hopping profile. The resulting coupling is spatially inhomogeneous -- weakest at the chain boundaries and strongest in the bulk -- and produces a frequency-dependent Floquet-Sambe bottleneck. In the closed system, the mean inverse participation ratio (\textrm{MIPR}) of the Floquet eigenstates exhibits a striking nonmonotonic dependence on the driving frequency ω: the states remain extended at both low and high frequencies, but become maximally localized at an intermediate frequency. We demonstrate that this localization maximum occurs at ωpeak∼ μ−s=√(% 2s), a scale controlled by the first boundary bottleneck. To connect these spectral properties to measurable transport, we construct an open-system Floquet-Sambe Green-function inverse participation ratio from the spatial density of the injected scattering state. This open-system diagnostic recovers the same nonmonotonic localization trend as its closed-system counterpart, with the peak shifted to higher frequencies by the static bandwidth and the lead self-energy. These findings establish the driven synthetic spin chain as a directly realizable, frequency-tunable platform for coherent information storage and retrieval, rooted in the interplay of Floquet-Sambe virtual channels, boundary-controlled localization, and frequency-selective transport in emerging multi-level superconducting circuit architectures.
Versions
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BibTeX
@misc{cao2026floquetsambe,
title = {{Floquet-Sambe Bottleneck and Frequency-Selective Localization in a Driven Synthetic Spin Chain}},
author = {J. Cao and K. L. Zhang and R. Wang and X. Z. Zhang},
howpublished = {arXiv},
year = {2026},
month = jun,
doi = {10.48550/arxiv.2606.15293},
eprint = {2606.15293},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.15293},
}
RIS
TY - UNPB
TI - Floquet-Sambe Bottleneck and Frequency-Selective Localization in a Driven Synthetic Spin Chain
AU - J. Cao
AU - K. L. Zhang
AU - R. Wang
AU - X. Z. Zhang
PY - 2026
DA - 2026/06/13
PB - arXiv
DO - 10.48550/arxiv.2606.15293
UR - https://arxiv.org/abs/2606.15293
AB - We study a finite Floquet chain in which a uniform nearest-neighbor hopping coexists with a periodically rotating, \textrm{SU(2)}-dictated spin-assisted hopping profile. The resulting coupling is spatially inhomogeneous -- weakest at the chain boundaries and strongest in the bulk -- and produces a frequency-dependent Floquet-Sambe bottleneck. In the closed system, the mean inverse participation ratio (\textrm{MIPR}) of the Floquet eigenstates exhibits a striking nonmonotonic dependence on the driving frequency ω: the states remain extended at both low and high frequencies, but become maximally localized at an intermediate frequency. We demonstrate that this localization maximum occurs at ω_peak∼ μ_−s=√(% 2s), a scale controlled by the first boundary bottleneck. To connect these spectral properties to measurable transport, we construct an open-system Floquet-Sambe Green-function inverse participation ratio from the spatial density of the injected scattering state. This open-system diagnostic recovers the same nonmonotonic localization trend as its closed-system counterpart, with the peak shifted to higher frequencies by the static bandwidth and the lead self-energy. These findings establish the driven synthetic spin chain as a directly realizable, frequency-tunable platform for coherent information storage and retrieval, rooted in the interplay of Floquet-Sambe virtual channels, boundary-controlled localization, and frequency-selective transport in emerging multi-level superconducting circuit architectures.
ER -