2D Topological Edge States in Periodic Space-Time Interfaces

Fuente: arXiv
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Auteurs principaux: Segal, Ohad, Plotnik, Yonatan, Lustig, Eran, Sharabi, Yonatan, Cohen, Moshe-Ishay, Dikopoltsev, Alexander, Segev, Mordechai
Format: Preprint
Publié: 2025
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author Segal, Ohad
Plotnik, Yonatan
Lustig, Eran
Sharabi, Yonatan
Cohen, Moshe-Ishay
Dikopoltsev, Alexander
Segev, Mordechai
author_facet Segal, Ohad
Plotnik, Yonatan
Lustig, Eran
Sharabi, Yonatan
Cohen, Moshe-Ishay
Dikopoltsev, Alexander
Segev, Mordechai
contents Topological edge states in systems of two (or more) dimensions offer scattering-free transport, exhibiting robustness to inhomogeneities and disorder. In a different domain, time-modulated systems, such as photonic time crystals (PTCs), offer non-resonant amplification drawing energy from the modulation. Combining these concepts, we explore topological systems that vary periodically in both time and space, manifesting the best of both worlds. We present topological phases and topological edge states in photonic space-time crystals - materials in which the refractive index varies periodically in both space and time, displaying bandgaps in both frequency and momentum. The topological nature of this system leads to topological invariants that govern the phase between refracted and reflected waves generated from both the spatial and the temporal interfaces. The 2D nature of this system leads to propagating edge states, and a unique edge state that grows exponentially in power whilst following the space-time edge.
format Preprint
id arxiv_https___arxiv_org_abs_2506_03986
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle 2D Topological Edge States in Periodic Space-Time Interfaces
Segal, Ohad
Plotnik, Yonatan
Lustig, Eran
Sharabi, Yonatan
Cohen, Moshe-Ishay
Dikopoltsev, Alexander
Segev, Mordechai
Optics
Topological edge states in systems of two (or more) dimensions offer scattering-free transport, exhibiting robustness to inhomogeneities and disorder. In a different domain, time-modulated systems, such as photonic time crystals (PTCs), offer non-resonant amplification drawing energy from the modulation. Combining these concepts, we explore topological systems that vary periodically in both time and space, manifesting the best of both worlds. We present topological phases and topological edge states in photonic space-time crystals - materials in which the refractive index varies periodically in both space and time, displaying bandgaps in both frequency and momentum. The topological nature of this system leads to topological invariants that govern the phase between refracted and reflected waves generated from both the spatial and the temporal interfaces. The 2D nature of this system leads to propagating edge states, and a unique edge state that grows exponentially in power whilst following the space-time edge.
title 2D Topological Edge States in Periodic Space-Time Interfaces
topic Optics
url https://arxiv.org/abs/2506.03986