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Generalized entanglement entropies in two-dimensional conformal field theory
A bstract We introduce and study generalized Rényi entropies defined through the traces of products of Tr B (| Ψ i ⟩⟨Ψ j | ) where ∣Ψ i ⟩ are eigenstates of a two-dimensional conformal field theory (CFT). When ∣Ψ i ⟩ = ∣Ψ j ⟩ these objects reduce to the standard Rényi entropies of the eigenstates of...
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| Published in: | The journal of high energy physics 2022-05, Vol.2022 (5), p.152-29, Article 152 |
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| cites | cdi_FETCH-LOGICAL-c510t-3b8f8b3689b47bdc968b5b36981efbdc51b96fdc553dd3922da2e1fcb0e2fc5e3 |
| container_end_page | 29 |
| container_issue | 5 |
| container_start_page | 152 |
| container_title | The journal of high energy physics |
| container_volume | 2022 |
| creator | Murciano, Sara Calabrese, Pasquale Konik, Robert M. |
| description | A
bstract
We introduce and study generalized Rényi entropies defined through the traces of products of Tr
B
(| Ψ
i
⟩⟨Ψ
j
| ) where ∣Ψ
i
⟩ are eigenstates of a two-dimensional conformal field theory (CFT). When ∣Ψ
i
⟩ = ∣Ψ
j
⟩ these objects reduce to the standard Rényi entropies of the eigenstates of the CFT. Exploiting the path integral formalism, we show that the second generalized Rényi entropies are equivalent to four point correlators. We then focus on a free bosonic theory for which the mode expansion of the fields allows us to develop an efficient strategy to compute the second generalized Rényi entropy for all eigenstates. As a byproduct, our approach also leads to new results for the standard Rényi and relative entropies involving arbitrary descendent states of the bosonic CFT. |
| doi_str_mv | 10.1007/JHEP05(2022)152 |
| format | article |
| fullrecord | <record><control><sourceid>proquest_doaj_</sourceid><recordid>TN_cdi_doaj_primary_oai_doaj_org_article_a60e342c3e16471cac93c5e8caae2e63</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><doaj_id>oai_doaj_org_article_a60e342c3e16471cac93c5e8caae2e63</doaj_id><sourcerecordid>2668572726</sourcerecordid><originalsourceid>FETCH-LOGICAL-c510t-3b8f8b3689b47bdc968b5b36981efbdc51b96fdc553dd3922da2e1fcb0e2fc5e3</originalsourceid><addsrcrecordid>eNp1UT1PwzAUjBBIfM6sESwwBPxRO_aIqtKCKsEAs-U4z8VVGhfbFYJfj0sQsDC9u6e707OvKE4xusII1df3s8kjYhcEEXKJGdkpDjAishKjWu7-wfvFYYxLhDDDEh0U8yn0EHTnPqAtoU-6X3SwymBLgl87iKXry_Tmq9blfXS-111pfG99WGVkHXRtmV7Ah_fjYs_qLsLJ9zwqnm8nT-NZNX-Y3o1v5pVhGKWKNsKKhnIhm1HdtEZy0bDMpcBgM2e4kdzmyWjbUklIqwlgaxoExBoG9Ki4G3Jbr5dqHdxKh3fltVNfCx8WSofkTAdKcwR0RAwFzEc1NtpImiOE0RoIcJqzzoYsH5NT0bgE5iU_rweTFBZSMFFn0fkgWgf_uoGY1NJvQv6IqAjngtWkJjyrrgeVCT7GAPbnNIzUtiM1dKS2HancUXagwRGzsl9A-M39z_IJr8WUdQ</addsrcrecordid><sourcetype>Open Website</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2668572726</pqid></control><display><type>article</type><title>Generalized entanglement entropies in two-dimensional conformal field theory</title><source>Access via ProQuest (Open Access)</source><source>Springer Nature - SpringerLink Journals - Fully Open Access </source><creator>Murciano, Sara ; Calabrese, Pasquale ; Konik, Robert M.</creator><creatorcontrib>Murciano, Sara ; Calabrese, Pasquale ; Konik, Robert M. ; Brookhaven National Laboratory (BNL), Upton, NY (United States)</creatorcontrib><description>A
bstract
We introduce and study generalized Rényi entropies defined through the traces of products of Tr
B
(| Ψ
i
⟩⟨Ψ
j
| ) where ∣Ψ
i
⟩ are eigenstates of a two-dimensional conformal field theory (CFT). When ∣Ψ
i
⟩ = ∣Ψ
j
⟩ these objects reduce to the standard Rényi entropies of the eigenstates of the CFT. Exploiting the path integral formalism, we show that the second generalized Rényi entropies are equivalent to four point correlators. We then focus on a free bosonic theory for which the mode expansion of the fields allows us to develop an efficient strategy to compute the second generalized Rényi entropy for all eigenstates. As a byproduct, our approach also leads to new results for the standard Rényi and relative entropies involving arbitrary descendent states of the bosonic CFT.</description><identifier>ISSN: 1029-8479</identifier><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP05(2022)152</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Classical and Quantum Gravitation ; CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY ; Correlators ; Eigenvectors ; Elementary Particles ; Entanglement ; Entropy ; Field Theories in Lower Dimensions ; Field theory ; High energy physics ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Regular Article - Theoretical Physics ; Relativity Theory ; Scale and Conformal Symmetries ; String Theory</subject><ispartof>The journal of high energy physics, 2022-05, Vol.2022 (5), p.152-29, Article 152</ispartof><rights>The Author(s) 2022</rights><rights>The Author(s) 2022. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c510t-3b8f8b3689b47bdc968b5b36981efbdc51b96fdc553dd3922da2e1fcb0e2fc5e3</citedby><cites>FETCH-LOGICAL-c510t-3b8f8b3689b47bdc968b5b36981efbdc51b96fdc553dd3922da2e1fcb0e2fc5e3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.proquest.com/docview/2668572726/fulltextPDF?pq-origsite=primo$$EPDF$$P50$$Gproquest$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/2668572726?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>230,314,780,784,885,25753,27924,27925,37012,44590,75126</link.rule.ids><backlink>$$Uhttps://www.osti.gov/servlets/purl/1898587$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Murciano, Sara</creatorcontrib><creatorcontrib>Calabrese, Pasquale</creatorcontrib><creatorcontrib>Konik, Robert M.</creatorcontrib><creatorcontrib>Brookhaven National Laboratory (BNL), Upton, NY (United States)</creatorcontrib><title>Generalized entanglement entropies in two-dimensional conformal field theory</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>A
bstract
We introduce and study generalized Rényi entropies defined through the traces of products of Tr
B
(| Ψ
i
⟩⟨Ψ
j
| ) where ∣Ψ
i
⟩ are eigenstates of a two-dimensional conformal field theory (CFT). When ∣Ψ
i
⟩ = ∣Ψ
j
⟩ these objects reduce to the standard Rényi entropies of the eigenstates of the CFT. Exploiting the path integral formalism, we show that the second generalized Rényi entropies are equivalent to four point correlators. We then focus on a free bosonic theory for which the mode expansion of the fields allows us to develop an efficient strategy to compute the second generalized Rényi entropy for all eigenstates. As a byproduct, our approach also leads to new results for the standard Rényi and relative entropies involving arbitrary descendent states of the bosonic CFT.</description><subject>Classical and Quantum Gravitation</subject><subject>CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY</subject><subject>Correlators</subject><subject>Eigenvectors</subject><subject>Elementary Particles</subject><subject>Entanglement</subject><subject>Entropy</subject><subject>Field Theories in Lower Dimensions</subject><subject>Field theory</subject><subject>High energy physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Field Theories</subject><subject>Quantum Field Theory</subject><subject>Quantum Physics</subject><subject>Regular Article - Theoretical Physics</subject><subject>Relativity Theory</subject><subject>Scale and Conformal Symmetries</subject><subject>String Theory</subject><issn>1029-8479</issn><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><sourceid>DOA</sourceid><recordid>eNp1UT1PwzAUjBBIfM6sESwwBPxRO_aIqtKCKsEAs-U4z8VVGhfbFYJfj0sQsDC9u6e707OvKE4xusII1df3s8kjYhcEEXKJGdkpDjAishKjWu7-wfvFYYxLhDDDEh0U8yn0EHTnPqAtoU-6X3SwymBLgl87iKXry_Tmq9blfXS-111pfG99WGVkHXRtmV7Ah_fjYs_qLsLJ9zwqnm8nT-NZNX-Y3o1v5pVhGKWKNsKKhnIhm1HdtEZy0bDMpcBgM2e4kdzmyWjbUklIqwlgaxoExBoG9Ki4G3Jbr5dqHdxKh3fltVNfCx8WSofkTAdKcwR0RAwFzEc1NtpImiOE0RoIcJqzzoYsH5NT0bgE5iU_rweTFBZSMFFn0fkgWgf_uoGY1NJvQv6IqAjngtWkJjyrrgeVCT7GAPbnNIzUtiM1dKS2HancUXagwRGzsl9A-M39z_IJr8WUdQ</recordid><startdate>20220523</startdate><enddate>20220523</enddate><creator>Murciano, Sara</creator><creator>Calabrese, Pasquale</creator><creator>Konik, Robert M.</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><general>Springer Nature</general><general>SpringerOpen</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>OIOZB</scope><scope>OTOTI</scope><scope>DOA</scope></search><sort><creationdate>20220523</creationdate><title>Generalized entanglement entropies in two-dimensional conformal field theory</title><author>Murciano, Sara ; Calabrese, Pasquale ; Konik, Robert M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c510t-3b8f8b3689b47bdc968b5b36981efbdc51b96fdc553dd3922da2e1fcb0e2fc5e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Classical and Quantum Gravitation</topic><topic>CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY</topic><topic>Correlators</topic><topic>Eigenvectors</topic><topic>Elementary Particles</topic><topic>Entanglement</topic><topic>Entropy</topic><topic>Field Theories in Lower Dimensions</topic><topic>Field theory</topic><topic>High energy physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Field Theories</topic><topic>Quantum Field Theory</topic><topic>Quantum Physics</topic><topic>Regular Article - Theoretical Physics</topic><topic>Relativity Theory</topic><topic>Scale and Conformal Symmetries</topic><topic>String Theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Murciano, Sara</creatorcontrib><creatorcontrib>Calabrese, Pasquale</creatorcontrib><creatorcontrib>Konik, Robert M.</creatorcontrib><creatorcontrib>Brookhaven National Laboratory (BNL), Upton, NY (United States)</creatorcontrib><collection>Springer Nature OA Free Journals</collection><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Access via ProQuest (Open Access)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>OSTI.GOV - Hybrid</collection><collection>OSTI.GOV</collection><collection>DOAJ Directory of Open Access Journals</collection><jtitle>The journal of high energy physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Murciano, Sara</au><au>Calabrese, Pasquale</au><au>Konik, Robert M.</au><aucorp>Brookhaven National Laboratory (BNL), Upton, NY (United States)</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Generalized entanglement entropies in two-dimensional conformal field theory</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. High Energ. Phys</stitle><date>2022-05-23</date><risdate>2022</risdate><volume>2022</volume><issue>5</issue><spage>152</spage><epage>29</epage><pages>152-29</pages><artnum>152</artnum><issn>1029-8479</issn><eissn>1029-8479</eissn><abstract>A
bstract
We introduce and study generalized Rényi entropies defined through the traces of products of Tr
B
(| Ψ
i
⟩⟨Ψ
j
| ) where ∣Ψ
i
⟩ are eigenstates of a two-dimensional conformal field theory (CFT). When ∣Ψ
i
⟩ = ∣Ψ
j
⟩ these objects reduce to the standard Rényi entropies of the eigenstates of the CFT. Exploiting the path integral formalism, we show that the second generalized Rényi entropies are equivalent to four point correlators. We then focus on a free bosonic theory for which the mode expansion of the fields allows us to develop an efficient strategy to compute the second generalized Rényi entropy for all eigenstates. As a byproduct, our approach also leads to new results for the standard Rényi and relative entropies involving arbitrary descendent states of the bosonic CFT.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/JHEP05(2022)152</doi><tpages>29</tpages><oa>free_for_read</oa></addata></record> |
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| subjects | Classical and Quantum Gravitation CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY Correlators Eigenvectors Elementary Particles Entanglement Entropy Field Theories in Lower Dimensions Field theory High energy physics Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory Scale and Conformal Symmetries String Theory |
| title | Generalized entanglement entropies in two-dimensional conformal field theory |
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