Measuring topological invariants in small photonic lattices
We present a robust practical scheme for measuring the topological invariants of non-interacting tight-binding models realized in arrays of coupled photonic cavities. More specifically, we aim to focus on the implementation of a single unit cell with tunable twisted boundary conditions in order to a...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2014-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/16/12/123013 |
| _version_ | 1797751487448743936 |
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| author | C-E Bardyn S D Huber O Zilberberg |
| author_facet | C-E Bardyn S D Huber O Zilberberg |
| author_sort | C-E Bardyn |
| collection | DOAJ |
| description | We present a robust practical scheme for measuring the topological invariants of non-interacting tight-binding models realized in arrays of coupled photonic cavities. More specifically, we aim to focus on the implementation of a single unit cell with tunable twisted boundary conditions in order to access the bulk topological properties of much larger systems experimentally. We illustrate our method in a two-dimensional integer quantum Hall model, demonstrating that the associated topological invariants can be measured to a high degree of accuracy despite the driven-dissipative bosonic nature of the system, and discuss the robustness of our scheme against various sources of disorder. |
| first_indexed | 2024-03-12T16:49:16Z |
| format | Article |
| id | doaj.art-19786cf5b5204f1f82fb365f22b5dade |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:49:16Z |
| publishDate | 2014-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-19786cf5b5204f1f82fb365f22b5dade2023-08-08T11:24:30ZengIOP PublishingNew Journal of Physics1367-26302014-01-01161212301310.1088/1367-2630/16/12/123013Measuring topological invariants in small photonic latticesC-E Bardyn0S D Huber1O Zilberberg2Dept. of Physics, California Institute of Technology, Pasadena, CA 91125, USA; Institute for Quantum Electronics, ETH Zurich, 8093 Zürich, SwitzerlandInstitute for Theoretical Physics, ETH Zurich, 8093 Zürich, SwitzerlandInstitute for Theoretical Physics, ETH Zurich, 8093 Zürich, SwitzerlandWe present a robust practical scheme for measuring the topological invariants of non-interacting tight-binding models realized in arrays of coupled photonic cavities. More specifically, we aim to focus on the implementation of a single unit cell with tunable twisted boundary conditions in order to access the bulk topological properties of much larger systems experimentally. We illustrate our method in a two-dimensional integer quantum Hall model, demonstrating that the associated topological invariants can be measured to a high degree of accuracy despite the driven-dissipative bosonic nature of the system, and discuss the robustness of our scheme against various sources of disorder.https://doi.org/10.1088/1367-2630/16/12/123013topologicalphotonicquantum Hall03.65.Vf42.50.Pq42.82.Et |
| spellingShingle | C-E Bardyn S D Huber O Zilberberg Measuring topological invariants in small photonic lattices New Journal of Physics topological photonic quantum Hall 03.65.Vf 42.50.Pq 42.82.Et |
| title | Measuring topological invariants in small photonic lattices |
| title_full | Measuring topological invariants in small photonic lattices |
| title_fullStr | Measuring topological invariants in small photonic lattices |
| title_full_unstemmed | Measuring topological invariants in small photonic lattices |
| title_short | Measuring topological invariants in small photonic lattices |
| title_sort | measuring topological invariants in small photonic lattices |
| topic | topological photonic quantum Hall 03.65.Vf 42.50.Pq 42.82.Et |
| url | https://doi.org/10.1088/1367-2630/16/12/123013 |
| work_keys_str_mv | AT cebardyn measuringtopologicalinvariantsinsmallphotoniclattices AT sdhuber measuringtopologicalinvariantsinsmallphotoniclattices AT ozilberberg measuringtopologicalinvariantsinsmallphotoniclattices |