Topological $π/2$ modes in photonic waveguide arrays
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866909585570267136 |
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| author | Jiang, Gang Zhang, Siyuan Zhu, Weiwei Zhao, Y. X. Xue, Haoran |
| author_facet | Jiang, Gang Zhang, Siyuan Zhu, Weiwei Zhao, Y. X. Xue, Haoran |
| contents | Periodic driving is a powerful tool to generate exotic topological phases without static counterparts, such as the anomalous chiral edge modes from bulk bands with zero Chern number and topological $π$ modes exhibiting period-doubled dynamics. Recently, a new class of Floquet topological mode, namely the $π/2$ mode, which carries four-period periodicity and has potential applications in quantum computing, was proposed based on a square-root method and realized in an acoustic system. Here we propose a laser-written waveguide array lattice to realize topological $π/2$ modes in photonics. Our photonic model simulates a square-root periodically driven Su-Schrieffer-Heeger model and has a rich phase diagram allowing for the co-existence of conventional zero, $π$ modes, and the new $π/2$ modes. Through numerical simulations of the wave equation, we uncover the unique four-period evolution feature of the $π/2$ modes. Our model, which only contains four waveguides per unit cell and two driving steps, is easy to implement with current fabrication techniques and may find applications in quantum optics. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_09945 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Topological $π/2$ modes in photonic waveguide arrays Jiang, Gang Zhang, Siyuan Zhu, Weiwei Zhao, Y. X. Xue, Haoran Optics Mesoscale and Nanoscale Physics Periodic driving is a powerful tool to generate exotic topological phases without static counterparts, such as the anomalous chiral edge modes from bulk bands with zero Chern number and topological $π$ modes exhibiting period-doubled dynamics. Recently, a new class of Floquet topological mode, namely the $π/2$ mode, which carries four-period periodicity and has potential applications in quantum computing, was proposed based on a square-root method and realized in an acoustic system. Here we propose a laser-written waveguide array lattice to realize topological $π/2$ modes in photonics. Our photonic model simulates a square-root periodically driven Su-Schrieffer-Heeger model and has a rich phase diagram allowing for the co-existence of conventional zero, $π$ modes, and the new $π/2$ modes. Through numerical simulations of the wave equation, we uncover the unique four-period evolution feature of the $π/2$ modes. Our model, which only contains four waveguides per unit cell and two driving steps, is easy to implement with current fabrication techniques and may find applications in quantum optics. |
| title | Topological $π/2$ modes in photonic waveguide arrays |
| topic | Optics Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2504.09945 |