Incorporating non-local anyonic statistics into a graph decomposition
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917565622648832 |
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| author | Mühlhauser, M. Kott, V. Schmidt, K. P. |
| author_facet | Mühlhauser, M. Kott, V. Schmidt, K. P. |
| contents | In this work we describe how to systematically implement a full graph decomposition to set up a linked-cluster expansion for the topological phase of Kitaev's toric code in a field. This demands to include the non-local effects mediated by the mutual anyonic statistics of elementary charge and flux excitations. Technically, we describe how to consistently integrate such non-local effects into a hypergraph decomposition for single excitations. The approach is demonstrated for the ground-state energy and the elementary excitation energies of charges and fluxes in the perturbed topological phase. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_06507 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Incorporating non-local anyonic statistics into a graph decomposition Mühlhauser, M. Kott, V. Schmidt, K. P. Strongly Correlated Electrons Quantum Physics In this work we describe how to systematically implement a full graph decomposition to set up a linked-cluster expansion for the topological phase of Kitaev's toric code in a field. This demands to include the non-local effects mediated by the mutual anyonic statistics of elementary charge and flux excitations. Technically, we describe how to consistently integrate such non-local effects into a hypergraph decomposition for single excitations. The approach is demonstrated for the ground-state energy and the elementary excitation energies of charges and fluxes in the perturbed topological phase. |
| title | Incorporating non-local anyonic statistics into a graph decomposition |
| topic | Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2401.06507 |