Entanglement entropies of the quarter filled Hubbard model
We study Rényi and von Neumann entanglement entropies in the ground state of the one dimensional quarter-filled Hubbard model with periodic boundary conditions. We show that they exhibit an unexpected dependence on system size: for L = 4 mod 8 the results are in agreement with expectations based on...
| Hoofdauteurs: | , , |
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| Formaat: | Journal article |
| Taal: | English |
| Gepubliceerd in: |
Institute of Physics Publishing
2014
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| _version_ | 1826258196557201408 |
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| author | Calabrese, P Essler, F Laeuchli, A |
| author_facet | Calabrese, P Essler, F Laeuchli, A |
| author_sort | Calabrese, P |
| collection | OXFORD |
| description | We study Rényi and von Neumann entanglement entropies in the ground state of the one dimensional quarter-filled Hubbard model with periodic boundary conditions. We show that they 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 show that these can be understood in terms of a 'shell-filling' effect and we develop a conformal field theory approach to calculate the additional contributions to the entropies. These analytic results are found to be in excellent agreement with density matrix renormalization group computations for weak Hubbard interactions. We argue that for larger interactions the presence of a marginal irrelevant operator in the spin sector strongly affects the entropies at the finite sizes accessible numerically and we present an effective way to take them into account. |
| first_indexed | 2024-03-06T18:30:11Z |
| format | Journal article |
| id | oxford-uuid:0958e09f-e578-49ac-8263-e03e64048493 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T18:30:11Z |
| publishDate | 2014 |
| publisher | Institute of Physics Publishing |
| record_format | dspace |
| spelling | oxford-uuid:0958e09f-e578-49ac-8263-e03e640484932022-03-26T09:18:03ZEntanglement entropies of the quarter filled Hubbard modelJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:0958e09f-e578-49ac-8263-e03e64048493EnglishSymplectic Elements at OxfordInstitute of Physics Publishing2014Calabrese, PEssler, FLaeuchli, AWe study Rényi and von Neumann entanglement entropies in the ground state of the one dimensional quarter-filled Hubbard model with periodic boundary conditions. We show that they 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 show that these can be understood in terms of a 'shell-filling' effect and we develop a conformal field theory approach to calculate the additional contributions to the entropies. These analytic results are found to be in excellent agreement with density matrix renormalization group computations for weak Hubbard interactions. We argue that for larger interactions the presence of a marginal irrelevant operator in the spin sector strongly affects the entropies at the finite sizes accessible numerically and we present an effective way to take them into account. |
| spellingShingle | Calabrese, P Essler, F Laeuchli, A Entanglement entropies of the quarter filled Hubbard model |
| title | Entanglement entropies of the quarter filled Hubbard model |
| title_full | Entanglement entropies of the quarter filled Hubbard model |
| title_fullStr | Entanglement entropies of the quarter filled Hubbard model |
| title_full_unstemmed | Entanglement entropies of the quarter filled Hubbard model |
| title_short | Entanglement entropies of the quarter filled Hubbard model |
| title_sort | entanglement entropies of the quarter filled hubbard model |
| work_keys_str_mv | AT calabresep entanglemententropiesofthequarterfilledhubbardmodel AT esslerf entanglemententropiesofthequarterfilledhubbardmodel AT laeuchlia entanglemententropiesofthequarterfilledhubbardmodel |