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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.04151 |
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| _version_ | 1866913824304529408 |
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| author | Sridhar, Sashank Kaushik Srikanth, Rohith Miller, Alexander R. McComb, Ferguson J. Dutt, Avik |
| author_facet | Sridhar, Sashank Kaushik Srikanth, Rohith Miller, Alexander R. McComb, Ferguson J. Dutt, Avik |
| contents | Topological models are characterized by a quantized topological invariant and provide a description of novel phases of matter that can exhibit localized edge states, corner modes, and chiral transport. We experimentally realize two 1-D lattices supporting symmetry-protected topology - the Su-Schrieffer-Heeger (SSH) and extended SSH models using the synthetic frequency dimension of coupled fiber ring resonators. We introduce and experimentally demonstrate cascaded heterodyning as a technique for low-noise, single-shot winding number measurements through the mean chiral displacement and band structure measurements. Through our robust setup and detection techniques we can extend our capability to realizing 1-D ladder models, demonstrating a modified Creutz ladder with a staggered flux with each plaquette. This highly reconfigurable and compact fiber optics platform for Hamiltonian simulation, along with a low-noise detection scheme, provides a path forward for chip-scale realizations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_04151 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Measuring $\mathbb{Z}_2$ invariants in dimer models and cross-coupled ladders with a programmable photonic molecule Sridhar, Sashank Kaushik Srikanth, Rohith Miller, Alexander R. McComb, Ferguson J. Dutt, Avik Optics Mesoscale and Nanoscale Physics Topological models are characterized by a quantized topological invariant and provide a description of novel phases of matter that can exhibit localized edge states, corner modes, and chiral transport. We experimentally realize two 1-D lattices supporting symmetry-protected topology - the Su-Schrieffer-Heeger (SSH) and extended SSH models using the synthetic frequency dimension of coupled fiber ring resonators. We introduce and experimentally demonstrate cascaded heterodyning as a technique for low-noise, single-shot winding number measurements through the mean chiral displacement and band structure measurements. Through our robust setup and detection techniques we can extend our capability to realizing 1-D ladder models, demonstrating a modified Creutz ladder with a staggered flux with each plaquette. This highly reconfigurable and compact fiber optics platform for Hamiltonian simulation, along with a low-noise detection scheme, provides a path forward for chip-scale realizations. |
| title | Measuring $\mathbb{Z}_2$ invariants in dimer models and cross-coupled ladders with a programmable photonic molecule |
| topic | Optics Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2505.04151 |