Optical Floquet Topological Stabilization in Phyllotactic Quantum Lattices (Lab 12)
Abstract
This repository contains the ab initio Python simulation (Lab 12) demonstrating the emergence of topologically protected chiral edge states in an irrational phyllotactic lattice (Vogel spiral) driven by circularly polarized light. By utilizing photons in the visible spectrum as a constructive dynamic disturbance, we break Time-Reversal Symmetry (TRS) optically. This generates a Floquet topological bandgap that isolates the bulk and forces quantum information to flow exclusively along the geometric boundary, providing extreme thermal immunity (up to > 100K) without the need for physical magnetic fields or milli-Kelvin dilution refrigerators.
To ensure rigorous academic transparency, this simulation is formalized as a Topological Toy Model. Utilizing a tight-binding approximation with a Peierls substitution, it isolates the pure physical mechanism of the aperiodic geometry from the chemical noise of specific materials. This discrete lattice model aligns with established theoretical practices for proving topological phases, demonstrating unambiguously that the Golden Ratio geometry intrinsically supports protected chiral flow under an optical Floquet drive.
Related
- Ab Initio Quantum Dynamics in Phyllotactic Lattices: An Empirical Mapping of Topological Decoherence (Labs 1-6)
- Optical control of electrons in a Floquet topological insulator
- Polarization-controlled Floquet engineering in twisted photonic lattices
- Resonance and Transition-Channel Competition in Cavity-Assisted Floquet-State Stabilization
- Autonomous stabilization of many-body entanglement with Floquet Hamiltonians and weak measurement
BibTeX
@misc{hefetz2026optical,
title = {{Optical Floquet Topological Stabilization in Phyllotactic Quantum Lattices (Lab 12)}},
author = {Yaron Admon Hefetz},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23435926},
url = {https://zenodo.org/records/23435926},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Optical Floquet Topological Stabilization in Phyllotactic Quantum Lattices (Lab 12)
AU - Yaron Admon Hefetz
PY - 2026
DA - 2026/10/17
PB - Zenodo
DO - 10.5281/zenodo.23435926
UR - https://zenodo.org/records/23435926
AB - This repository contains the ab initio Python simulation (Lab 12) demonstrating the emergence of topologically protected chiral edge states in an irrational phyllotactic lattice (Vogel spiral) driven by circularly polarized light. By utilizing photons in the visible spectrum as a constructive dynamic disturbance, we break Time-Reversal Symmetry (TRS) optically. This generates a Floquet topological bandgap that isolates the bulk and forces quantum information to flow exclusively along the geometric boundary, providing extreme thermal immunity (up to > 100K) without the need for physical magnetic fields or milli-Kelvin dilution refrigerators. To ensure rigorous academic transparency, this simulation is formalized as a Topological Toy Model. Utilizing a tight-binding approximation with a Peierls substitution, it isolates the pure physical mechanism of the aperiodic geometry from the chemical noise of specific materials. This discrete lattice model aligns with established theoretical practices for proving topological phases, demonstrating unambiguously that the Golden Ratio geometry intrinsically supports protected chiral flow under an optical Floquet drive.
ER -