Entanglement entropy of two disjoint intervals in conformal field theory
We study the entanglement of two disjoint intervals in the conformal field theory of the Luttinger liquid (free compactified boson). Tr ρAn for any integer n is calculated as the four-point function of twist fields of a particular type and the final result is expressed in a compact form in terms of...
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| Format: | Journal article |
| Jezik: | English |
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2009
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| _version_ | 1826305867198234624 |
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| author | Calabrese, P Cardy, J Tonni, E |
| author_facet | Calabrese, P Cardy, J Tonni, E |
| author_sort | Calabrese, P |
| collection | OXFORD |
| description | We study the entanglement of two disjoint intervals in the conformal field theory of the Luttinger liquid (free compactified boson). Tr ρAn for any integer n is calculated as the four-point function of twist fields of a particular type and the final result is expressed in a compact form in terms of the Riemann-Siegel theta functions. In the decompactification limit we provide the analytic continuation valid for all model parameters and from this we extract the entanglement entropy. These predictions are checked against existing numerical data. © 2009 IOP Publishing Ltd. |
| first_indexed | 2024-03-07T06:39:22Z |
| format | Journal article |
| id | oxford-uuid:f8bc0c86-6b69-443c-ba62-40517c662593 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T06:39:22Z |
| publishDate | 2009 |
| record_format | dspace |
| spelling | oxford-uuid:f8bc0c86-6b69-443c-ba62-40517c6625932022-03-27T12:52:40ZEntanglement entropy of two disjoint intervals in conformal field theoryJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f8bc0c86-6b69-443c-ba62-40517c662593EnglishSymplectic Elements at Oxford2009Calabrese, PCardy, JTonni, EWe study the entanglement of two disjoint intervals in the conformal field theory of the Luttinger liquid (free compactified boson). Tr ρAn for any integer n is calculated as the four-point function of twist fields of a particular type and the final result is expressed in a compact form in terms of the Riemann-Siegel theta functions. In the decompactification limit we provide the analytic continuation valid for all model parameters and from this we extract the entanglement entropy. These predictions are checked against existing numerical data. © 2009 IOP Publishing Ltd. |
| spellingShingle | Calabrese, P Cardy, J Tonni, E Entanglement entropy of two disjoint intervals in conformal field theory |
| title | Entanglement entropy of two disjoint intervals in conformal field theory |
| title_full | Entanglement entropy of two disjoint intervals in conformal field theory |
| title_fullStr | Entanglement entropy of two disjoint intervals in conformal field theory |
| title_full_unstemmed | Entanglement entropy of two disjoint intervals in conformal field theory |
| title_short | Entanglement entropy of two disjoint intervals in conformal field theory |
| title_sort | entanglement entropy of two disjoint intervals in conformal field theory |
| work_keys_str_mv | AT calabresep entanglemententropyoftwodisjointintervalsinconformalfieldtheory AT cardyj entanglemententropyoftwodisjointintervalsinconformalfieldtheory AT tonnie entanglemententropyoftwodisjointintervalsinconformalfieldtheory |