Tootfinder

Fast and length-independnt transport time supported by topological edge states in finite-size Su-Schieffer-Heeger chains
Yu-Han Chang, Nadia Daniela Rivera Torres, Santiago Figueroa Manrique, Raul A. Robles Robles, Vanna Chrismas Silalahi, Cen-Shawn Wu, Gang Wang, Giulia Marcucci, Laura Pilozzi, Claudio Conti, Ray-Kuang Lee, Watson Kuo
https://arxiv.org/abs/2511.19237 https://arxiv.org/pdf/2511.19237 https://arxiv.org/html/2511.19237
arXiv:2511.19237v1 Announce Type: new
Abstract: In order to transport information with topological protection, we explore experimentally the fast transport time using edge states in one-dimensional Su-Schrieffer-Heeger (SSH) chains. The transport time is investigated in both one- and two-dimensional models with topological non-trivial band structures. The fast transport is inherited with the wavefunction localization, giving a stronger effective coupling strength between the mode and the measurement leads. Also the transport time in one-dimension is independent of the system size. To verify the asertion, we implement a chain of split-ring resonators and their complementary ones with controllable hopping strengths. By performing the measurements on the group delay of non-trivially topological edge states with pulse excitations, the transport time between two edge states is directly observed with the chain length up to $20$. Along the route to harness topology to protect optical information, our experimental demonstrations provide a crucial guideline for utilizing photonic topological devices.
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A new proof of Poincar\'e-Miranda theorem based on the classification of one-dimensional manifolds
Xiao-Song Yang
https://arxiv.org/abs/2511.06828 https://arxiv.org/pdf/2511.06828 https://arxiv.org/html/2511.06828
arXiv:2511.06828v1 Announce Type: new
Abstract: This note gives a new elementary proof of Poincar\'e-Miranda theorem based on Sard's theorem and the simple classification of one-dimensional manifolds.
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Topological interface modes in aperiodic subwavelength resonator chains
Habib Ammari, Jiayu Qiu, Alexander Uhlmann
https://arxiv.org/abs/2511.18363 https://arxiv.org/pdf/2511.18363 https://arxiv.org/html/2511.18363
arXiv:2511.18363v1 Announce Type: new
Abstract: We consider interface modes in block disordered subwavelength resonator chains in one dimension. Based on the capacitance operator formulation, which provides a first-order approximation of the spectral properties of dimer-type block resonator systems in the subwavelength regime, we show that a two-fold topological characterization of a block disordered resonator chain is available if it is of dominated type. The topological index used for the characterization is a generalization of the Zak phase associated with one-dimensional chiral-symmetric Hamiltonians. As a manifestation of the bulk-edge correspondence principle, we prove that a localized interface mode occurs whenever the system consists of two semi-infinite chains with different topological characters. We also illustrate our results from a dynamic perspective, which provides an explicit geometric picture of the interface modes, and finally present a variety of numerical results to complement the theoretical results.
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Mesh of Spatiotemporal Optical Vortices with Programmable Intensity Nulls
Jinxin Wu, Dan Wang, Qingqing Liang, Jianhua Hu, Jiahao Dong, Jijun Feng, Yi Liu
https://arxiv.org/abs/2511.18087 https://arxiv.org/pdf/2511.18087 https://arxiv.org/html/2511.18087
arXiv:2511.18087v1 Announce Type: new
Abstract: Light carrying transverse orbital angular momentum (T-OAM) in the form of spatiotemporal optical vortices (STOVs) is opening new degrees of freedom for structured light manipulation. Such spatiotemporal wavepackets hold significant potential for optical trapping, analog optical computing, studying photonic symmetry and topology, among others. Up to now, synthesizing of such vortices is limited in one dimension, either in temporal or spatial domain. In this work, we propose and experimentally demonstrate a two-dimensional flexible mesh of spatiotemporal optical vortices (M-STOV) with programmable intensity nulls, and analyze their diffraction patterns for detection. Furthermore, we extend the spectral range of M-STOV via second-harmonic generation while examining the transfer of OAM in this nonlinear process. This study establishes a foundational framework for designing higher dimensional spatiotemporal vortex fields and promises a high-capacity information carrier based on ST optical vortices.
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