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Topologically protected edge states in time photonic crystals with chiral symmetry

2025/01/15 by Yukun Yang, Hao Hu, Yang, Yukun +17 · 8 citations
Mathematics · Physics and Astronomy · #Chiral symmetry #Computer science #Enhanced Data Rates for GSM Evolution #FOS: Physical sciences #Geometry #Mathematics #Optics (physics.optics) #Photonic Crystals and Applications #Photonic crystal #Photonics #Physics #Quantum mechanics #Symmetry (geometry) #Telecommunications #Theoretical physics

paper · pdf · doi:10.48550/arxiv.2501.08546

published in arXiv (Cornell University) (Cornell University)

openalex publication_date 2025/01/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

Time photonic crystals are media in which their electromagnetic parameters are modulated periodically in time, showing promising applications in non-resonant lasers and particle accelerators, among others. Traditionally utilized to study space photonic crystals, topological band theory has also been translated recently to analyze time photonic crystals with time inversion symmetry, enabling the construction of the temporal version of topological edge states. However, temporal disorder can readily break time inversion symmetry in practice, hence likely destroying the edge states associated with this type of time photonic crystals. To overcome this limitation, here we propose a new class of time photonic crystals presenting chiral symmetry instead, whose edge states exhibit superior robustness over the time-reversal-symmetry-protected counterparts. Our time photonic crystal is equivalent to a temporal version of the Su-Schrieffer-Heeger model, and the chiral symmetry of this type of time photonic crystals quantizes the winding number defined in the Bloch frequency band. Remarkably, random temporal disorders do not impact the eigenfrequencies of these chiral-symmetry-protected edge states, while instead enhancing their temporal localizations. Our findings thus provide a promising paradigm to control field amplification with exceptional robustness as well as being a feasible platform to investigate various topological phases in time-varying media.

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