Shell-filling effect in the entanglement entropies of spinful fermions.
We consider the von Neumann and Rényi entropies of the one-dimensional quarter-filled Hubbard model. We observe that for periodic boundary conditions the entropies exhibit an unexpected dependence on system size: for L=4 mod 8 the results are in agreement with expectations based on conformal field t...
| Autores principales: | , , |
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| Formato: | Journal article |
| Lenguaje: | English |
| Publicado: |
2013
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| _version_ | 1826284137354362880 |
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| author | Essler, F Läuchli, A Calabrese, P |
| author_facet | Essler, F Läuchli, A Calabrese, P |
| author_sort | Essler, F |
| collection | OXFORD |
| description | We consider the von Neumann and Rényi entropies of the one-dimensional quarter-filled Hubbard model. We observe that for periodic boundary conditions the entropies exhibit an unexpected dependence on system size: for L=4 mod 8 the results are in agreement with expectations based on conformal field theory, while for L=0 mod 8 additional contributions arise. We explain this observation in terms of a shell-filling effect and develop a conformal field theory approach to calculate the extra term in the entropies. Similar shell-filling effects in entanglement entropies are expected to be present in higher dimensions and for other multicomponent systems. |
| first_indexed | 2024-03-07T01:09:21Z |
| format | Journal article |
| id | oxford-uuid:8c758fb2-acdb-46e0-82aa-0cb1b2e531cc |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T01:09:21Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | oxford-uuid:8c758fb2-acdb-46e0-82aa-0cb1b2e531cc2022-03-26T22:44:43ZShell-filling effect in the entanglement entropies of spinful fermions.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:8c758fb2-acdb-46e0-82aa-0cb1b2e531ccEnglishSymplectic Elements at Oxford2013Essler, FLäuchli, ACalabrese, PWe consider the von Neumann and Rényi entropies of the one-dimensional quarter-filled Hubbard model. We observe that for periodic boundary conditions the entropies exhibit an unexpected dependence on system size: for L=4 mod 8 the results are in agreement with expectations based on conformal field theory, while for L=0 mod 8 additional contributions arise. We explain this observation in terms of a shell-filling effect and develop a conformal field theory approach to calculate the extra term in the entropies. Similar shell-filling effects in entanglement entropies are expected to be present in higher dimensions and for other multicomponent systems. |
| spellingShingle | Essler, F Läuchli, A Calabrese, P Shell-filling effect in the entanglement entropies of spinful fermions. |
| title | Shell-filling effect in the entanglement entropies of spinful fermions. |
| title_full | Shell-filling effect in the entanglement entropies of spinful fermions. |
| title_fullStr | Shell-filling effect in the entanglement entropies of spinful fermions. |
| title_full_unstemmed | Shell-filling effect in the entanglement entropies of spinful fermions. |
| title_short | Shell-filling effect in the entanglement entropies of spinful fermions. |
| title_sort | shell filling effect in the entanglement entropies of spinful fermions |
| work_keys_str_mv | AT esslerf shellfillingeffectintheentanglemententropiesofspinfulfermions AT lauchlia shellfillingeffectintheentanglemententropiesofspinfulfermions AT calabresep shellfillingeffectintheentanglemententropiesofspinfulfermions |