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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.08312 |
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| _version_ | 1866916432454877184 |
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| author | Bösch, Cyrill Serra-Garcia, Marc Böhm, Christian Fichtner, Andreas |
| author_facet | Bösch, Cyrill Serra-Garcia, Marc Böhm, Christian Fichtner, Andreas |
| contents | Berry phases offer a geometric perspective on wave propagation and are key to designing materials with topological wave transport. However, controlling Berry phases is challenging due to their dependence on global integrals over the Brillouin zone, making differentiation difficult. We present an adjoint-based method for efficiently computing the gradient of the Berry phase with respect to system parameters, involving only one forward and one adjoint calculation. This approach enables the use of advanced optimization techniques, such as topology optimization, to design new materials with tailored topological wave properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_08312 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Adjoint computation of Berry phase gradients Bösch, Cyrill Serra-Garcia, Marc Böhm, Christian Fichtner, Andreas Mesoscale and Nanoscale Physics Numerical Analysis Berry phases offer a geometric perspective on wave propagation and are key to designing materials with topological wave transport. However, controlling Berry phases is challenging due to their dependence on global integrals over the Brillouin zone, making differentiation difficult. We present an adjoint-based method for efficiently computing the gradient of the Berry phase with respect to system parameters, involving only one forward and one adjoint calculation. This approach enables the use of advanced optimization techniques, such as topology optimization, to design new materials with tailored topological wave properties. |
| title | Adjoint computation of Berry phase gradients |
| topic | Mesoscale and Nanoscale Physics Numerical Analysis |
| url | https://arxiv.org/abs/2410.08312 |