Data for: Simulating Floquet non-abelian topological insulator with photonic quantum walks
Data files
Mar 17, 2026 version files 426.93 KB
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README.md
4.76 KB
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SourceData_Fig2.xlsx
144.85 KB
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SourceData_Fig3.xlsx
123.70 KB
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SourceData_Fig4.xlsx
153.61 KB
Abstract
Floquet non-Abelian topological phases emerge in periodically driven systems and exhibit properties that are absent from their Abelian or static counterparts. Dubbed the Floquet non-Abelian topological insulators (FNATIs), they are characterized by non-Abelian topological charges and feature multifold bulk-boundary correspondence, making their experimental observation challenging. Here we simulate the FNATI using a higher-dimensional photonic quantum walk and develop dynamic measurement schemes to demonstrate key signatures of the FNATI. Importantly, combining a direct bulk-dynamic detection for the underlying quaternion topological charge, and a spatially-resolved injection spectroscopy for the edge states, we experimentally establish the multifold bulk-boundary correspondence, and, in particular, identify the anomalous non-Abelian phase in which edge states appear in all band gaps despite a trivial topological charge. Our experiment marks the first experimental characterization of the FNATI, providing general insight into the non-Abelian topological phases.
Dataset DOI: 10.5061/dryad.3ffbg79vk
Description of the data and file structure
The file data.xlsx contains all raw data for "Simulating Floquet non-Abelian topological insulator with photonic quantum walks." The data correspond to the experimental measurements and theoretical predictions used in Figs. 2–4 of the main text. Each Excel file contains the source data used to generate the corresponding figure panels. The experimental system is a three-band photonic quantum walk used to simulate Floquet non-Abelian topological insulators. The measurements include eigenstate trajectories on the unit sphere and quasienergy spectra obtained from spatially resolved injection spectroscopy.
File: SourceData_Fig2.xlsx
This file contains experimental and numerical data characterizing the bulk and domain-wall properties of the photonic quantum walk system. The dataset includes reconstructed trajectories of the eigenstates on the unit sphere obtained from quantum-state tomography. The coordinates describe the evolution of the eigenstate vectors as the quasimomentum varies across the Brillouin zone.
The file also contains quasienergy spectra and spatial distributions of eigenstates under domain-wall boundary conditions. These data reveal the presence of localized states within one of the quasienergy gaps. In addition, spectral signals obtained from spatially resolved injection spectroscopy are included for identifying the corresponding localized state.
Variables in sheet 1
- x - x component of the reconstructed eigenstate vector on the unit sphere.
- y - component of the reconstructed eigenstate vector on the unit sphere.
- z - component of the reconstructed eigenstate vector on the unit sphere.
- errorbar - Statistical uncertainty of the measured eigenstate coordinates obtained from photon counting.
Variables in sheet 2
- x - Lattice site index of the quantum walk.
- quasienergy - Quasienergy of the eigenstate.
- weight - Probability weight of the eigenstate at the corresponding lattice site.
File: SourceData_Fig3.xlsx
This file contains experimental and numerical data for a domain-wall configuration in which localized states appear in multiple quasienergy gaps. The dataset includes reconstructed eigenstate trajectories on the unit sphere obtained from quantum-state tomography for the bulk regions of the system.
The file also contains quasienergy spectra and spatial distributions of eigenstates under the domain-wall boundary condition. Additional data correspond to spectral responses obtained from spatially resolved injection spectroscopy, which are used to identify localized states in different quasienergy gaps.
Variables in sheet 1
- x - x component of the reconstructed eigenstate vector on the unit sphere.
- y - component of the reconstructed eigenstate vector on the unit sphere.
- z - component of the reconstructed eigenstate vector on the unit sphere.
- errorbar - Statistical uncertainty of the measured eigenstate coordinates obtained from photon counting.
Variables in sheet 2
- x - Lattice site index of the quantum walk.
- quasienergy - Quasienergy of the eigenstate.
- weight - Probability weight of the eigenstate at the corresponding lattice site.
File: SourceData_Fig4.xlsx
This file contains experimental and numerical data corresponding to an anomalous phase of the photonic quantum walk system. The dataset includes reconstructed eigenstate trajectories on the unit sphere obtained from quantum-state tomography for the bulk regions.
The file also contains quasienergy spectra and spatial distributions of eigenstates under domain-wall boundary conditions. These data demonstrate the appearance of localized states in all quasienergy gaps. Spectral signals obtained from spatially resolved injection spectroscopy are included for identifying these localized states.
Variables in sheet 1
- x - x component of the reconstructed eigenstate vector on the unit sphere.
- y - component of the reconstructed eigenstate vector on the unit sphere.
- z - component of the reconstructed eigenstate vector on the unit sphere.
- errorbar - Statistical uncertainty of the measured eigenstate coordinates obtained from photon counting.
Variables in sheet 2
- x - Lattice site index of the quantum walk.
- quasienergy - Quasienergy of the eigenstate.
- weight - Probability weight of the eigenstate at the corresponding lattice site.
Code/software
We did not develop code that is central to the main work described in this manuscript.
Access information
Other publicly accessible locations of the data:
- None
Data was derived from the following sources:
- None