Institutional Repository
Technical University of Crete
Technical University of Crete
EN
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EL
| URI | http://purl.tuc.gr/dl/dias/0547D601-E1A5-4369-A28B-2D28903C19CD | - |
| Identifier | https://doi.org/10.1063/5.0041084 | - |
| Identifier | https://aip.scitation.org/doi/10.1063/5.0041084 | - |
| Language | en | - |
| Extent | 9 pages | en |
| Title | Photonic band structure design using persistent homology | en |
| Creator | Leykam Daniel | en |
| Creator | Angelakis Dimitrios | en |
| Creator | Αγγελακης Δημητριος | el |
| Publisher | American Institute of Physics | en |
| Content Summary | The machine learning technique of persistent homology classifies complex systems or datasets by computing their topological features over a range of characteristic scales. There is growing interest in applying persistent homology to characterize physical systems such as spin models and multiqubit entangled states. Here, we propose persistent homology as a tool for characterizing and optimizing band structures of periodic photonic media. Using the honeycomb photonic lattice Haldane model as an example, we show how persistent homology is able to reliably classify a variety of band structures falling outside the usual paradigms of topological band theory, including “moat band” and multi-valley dispersion relations, and thereby control the properties of quantum emitters embedded in the lattice. The method is promising for the automated design of more complex systems such as photonic crystals and Moiré superlattices. | en |
| Type of Item | Peer-Reviewed Journal Publication | en |
| Type of Item | Δημοσίευση σε Περιοδικό με Κριτές | el |
| License | http://creativecommons.org/licenses/by/4.0/ | en |
| Date of Item | 2023-01-13 | - |
| Date of Publication | 2021 | - |
| Subject | Persistent homology | en |
| Subject | Honeycomb photonic lattice Haldane model | en |
| Bibliographic Citation | D. Leykam and D. G. Angelakis, “Photonic band structure design using persistent homology,” APL Photon., vol. 6, no. 3, Mar. 2021, doi: 10.1063/5.0041084. | en |
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