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Information scrambling and entanglement dynamics of complex Brownian Sachdev-Ye-Kitaev models
A bstract In this work, we study the information scrambling and the entanglement dynamics in the complex Brownian Sachdev-Ye-Kitaev (cBSYK) models, focusing on their dependence on the charge density n . We first derive the effective theory for scramblons in a single cBSYK model, which gives closed-f...
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| Published in: | The journal of high energy physics 2023-04, Vol.2023 (4), p.105-22, Article 105 |
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| Language: | English |
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| cites | cdi_FETCH-LOGICAL-c417t-dcfbed4a4d11475cde3483c242506dab16edb16ff87703b928b05dba52bf24e03 |
| container_end_page | 22 |
| container_issue | 4 |
| container_start_page | 105 |
| container_title | The journal of high energy physics |
| container_volume | 2023 |
| creator | Zhang, Pengfei |
| description | A
bstract
In this work, we study the information scrambling and the entanglement dynamics in the complex Brownian Sachdev-Ye-Kitaev (cBSYK) models, focusing on their dependence on the charge density
n
. We first derive the effective theory for scramblons in a single cBSYK model, which gives closed-form expressions for the late-time OTOC and operator size. In particular, the result for OTOC is consistent with numerical observations in [
1
]. We then study the entanglement dynamics in cBSYK chains. We derive the density dependence of the entanglement velocity for both Rényi entropies and the Von Neumann entropy, with a comparison to the butterfly velocity. We further consider adding repeated measurements and derive the effective theory of the measurement induced transition which shows U(2)
L
⊗ U(2)
R
symmetry for non-interacting models. |
| doi_str_mv | 10.1007/JHEP04(2023)105 |
| format | article |
| fullrecord | <record><control><sourceid>proquest_doaj_</sourceid><recordid>TN_cdi_doaj_primary_oai_doaj_org_article_d7743751b3ae404b898f6a815128d180</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><doaj_id>oai_doaj_org_article_d7743751b3ae404b898f6a815128d180</doaj_id><sourcerecordid>2805754809</sourcerecordid><originalsourceid>FETCH-LOGICAL-c417t-dcfbed4a4d11475cde3483c242506dab16edb16ff87703b928b05dba52bf24e03</originalsourceid><addsrcrecordid>eNp1UcFu1DAQjRBIlMKZqyUucAgdO_baOUJV6EIlkIADB2SN7fGSVWIvdlro35MlCLhwmRk9vfdmNK9pHnN4zgH02ZvLi_cgnwoQ3TMO6k5zwkH0rZG6v_vPfL95UOsegCvew0nzZZtiLhPOQ06s-oKTG4e0Y5gCozRj2o00LQMLtwmnwVeWI_N5Ooz0g70s-XsaMLEP6L8Gumk_U_t2mJFu2JQDjfVhcy_iWOnR737afHp18fH8sr1693p7_uKq9ZLruQ0-OgoSZeBcauUDddJ0XkihYBPQ8Q2FpcRotIbO9cI4UMGhEi4KSdCdNtvVN2Tc20MZJiy3NuNgfwG57CyWefAj2aC17LTirkOSIJ3pTdygWd4hTODm6PVk9TqU_O2a6mz3-bqk5XwrDCitpIF-YZ2tLF9yrYXin60c7DEPu-Zhj3ksgFoUsCrqwkw7Kn99_yf5CbaWjNY</addsrcrecordid><sourcetype>Open Website</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2805754809</pqid></control><display><type>article</type><title>Information scrambling and entanglement dynamics of complex Brownian Sachdev-Ye-Kitaev models</title><source>Publicly Available Content Database</source><source>Springer Nature - SpringerLink Journals - Fully Open Access </source><creator>Zhang, Pengfei</creator><creatorcontrib>Zhang, Pengfei</creatorcontrib><description>A
bstract
In this work, we study the information scrambling and the entanglement dynamics in the complex Brownian Sachdev-Ye-Kitaev (cBSYK) models, focusing on their dependence on the charge density
n
. We first derive the effective theory for scramblons in a single cBSYK model, which gives closed-form expressions for the late-time OTOC and operator size. In particular, the result for OTOC is consistent with numerical observations in [
1
]. We then study the entanglement dynamics in cBSYK chains. We derive the density dependence of the entanglement velocity for both Rényi entropies and the Von Neumann entropy, with a comparison to the butterfly velocity. We further consider adding repeated measurements and derive the effective theory of the measurement induced transition which shows U(2)
L
⊗ U(2)
R
symmetry for non-interacting models.</description><identifier>ISSN: 1029-8479</identifier><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP04(2023)105</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>1/N Expansion ; Chain entanglement ; Charge density ; Classical and Quantum Gravitation ; Elementary Particles ; Entanglement ; Entropy (Information theory) ; Field Theories in Lower Dimensions ; High energy physics ; Mathematical analysis ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Regular Article - Theoretical Physics ; Relativity Theory ; String Theory ; Velocity</subject><ispartof>The journal of high energy physics, 2023-04, Vol.2023 (4), p.105-22, Article 105</ispartof><rights>The Author(s) 2023</rights><rights>The Author(s) 2023. 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-c417t-dcfbed4a4d11475cde3483c242506dab16edb16ff87703b928b05dba52bf24e03</citedby><cites>FETCH-LOGICAL-c417t-dcfbed4a4d11475cde3483c242506dab16edb16ff87703b928b05dba52bf24e03</cites><orcidid>0000-0002-7408-0918</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.proquest.com/docview/2805754809/fulltextPDF?pq-origsite=primo$$EPDF$$P50$$Gproquest$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/2805754809?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>314,778,782,25740,27911,27912,36999,44577,74881</link.rule.ids></links><search><creatorcontrib>Zhang, Pengfei</creatorcontrib><title>Information scrambling and entanglement dynamics of complex Brownian Sachdev-Ye-Kitaev models</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>A
bstract
In this work, we study the information scrambling and the entanglement dynamics in the complex Brownian Sachdev-Ye-Kitaev (cBSYK) models, focusing on their dependence on the charge density
n
. We first derive the effective theory for scramblons in a single cBSYK model, which gives closed-form expressions for the late-time OTOC and operator size. In particular, the result for OTOC is consistent with numerical observations in [
1
]. We then study the entanglement dynamics in cBSYK chains. We derive the density dependence of the entanglement velocity for both Rényi entropies and the Von Neumann entropy, with a comparison to the butterfly velocity. We further consider adding repeated measurements and derive the effective theory of the measurement induced transition which shows U(2)
L
⊗ U(2)
R
symmetry for non-interacting models.</description><subject>1/N Expansion</subject><subject>Chain entanglement</subject><subject>Charge density</subject><subject>Classical and Quantum Gravitation</subject><subject>Elementary Particles</subject><subject>Entanglement</subject><subject>Entropy (Information theory)</subject><subject>Field Theories in Lower Dimensions</subject><subject>High energy physics</subject><subject>Mathematical analysis</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>String Theory</subject><subject>Velocity</subject><issn>1029-8479</issn><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><sourceid>DOA</sourceid><recordid>eNp1UcFu1DAQjRBIlMKZqyUucAgdO_baOUJV6EIlkIADB2SN7fGSVWIvdlro35MlCLhwmRk9vfdmNK9pHnN4zgH02ZvLi_cgnwoQ3TMO6k5zwkH0rZG6v_vPfL95UOsegCvew0nzZZtiLhPOQ06s-oKTG4e0Y5gCozRj2o00LQMLtwmnwVeWI_N5Ooz0g70s-XsaMLEP6L8Gumk_U_t2mJFu2JQDjfVhcy_iWOnR737afHp18fH8sr1693p7_uKq9ZLruQ0-OgoSZeBcauUDddJ0XkihYBPQ8Q2FpcRotIbO9cI4UMGhEi4KSdCdNtvVN2Tc20MZJiy3NuNgfwG57CyWefAj2aC17LTirkOSIJ3pTdygWd4hTODm6PVk9TqU_O2a6mz3-bqk5XwrDCitpIF-YZ2tLF9yrYXin60c7DEPu-Zhj3ksgFoUsCrqwkw7Kn99_yf5CbaWjNY</recordid><startdate>20230424</startdate><enddate>20230424</enddate><creator>Zhang, Pengfei</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</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>DOA</scope><orcidid>https://orcid.org/0000-0002-7408-0918</orcidid></search><sort><creationdate>20230424</creationdate><title>Information scrambling and entanglement dynamics of complex Brownian Sachdev-Ye-Kitaev models</title><author>Zhang, Pengfei</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c417t-dcfbed4a4d11475cde3483c242506dab16edb16ff87703b928b05dba52bf24e03</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>1/N Expansion</topic><topic>Chain entanglement</topic><topic>Charge density</topic><topic>Classical and Quantum Gravitation</topic><topic>Elementary Particles</topic><topic>Entanglement</topic><topic>Entropy (Information theory)</topic><topic>Field Theories in Lower Dimensions</topic><topic>High energy physics</topic><topic>Mathematical analysis</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>String Theory</topic><topic>Velocity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zhang, Pengfei</creatorcontrib><collection>SpringerOpen</collection><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central</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>Publicly Available Content Database</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>Directory of Open Access Journals(OpenAccess)</collection><jtitle>The journal of high energy physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Zhang, Pengfei</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Information scrambling and entanglement dynamics of complex Brownian Sachdev-Ye-Kitaev models</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. High Energ. Phys</stitle><date>2023-04-24</date><risdate>2023</risdate><volume>2023</volume><issue>4</issue><spage>105</spage><epage>22</epage><pages>105-22</pages><artnum>105</artnum><issn>1029-8479</issn><eissn>1029-8479</eissn><abstract>A
bstract
In this work, we study the information scrambling and the entanglement dynamics in the complex Brownian Sachdev-Ye-Kitaev (cBSYK) models, focusing on their dependence on the charge density
n
. We first derive the effective theory for scramblons in a single cBSYK model, which gives closed-form expressions for the late-time OTOC and operator size. In particular, the result for OTOC is consistent with numerical observations in [
1
]. We then study the entanglement dynamics in cBSYK chains. We derive the density dependence of the entanglement velocity for both Rényi entropies and the Von Neumann entropy, with a comparison to the butterfly velocity. We further consider adding repeated measurements and derive the effective theory of the measurement induced transition which shows U(2)
L
⊗ U(2)
R
symmetry for non-interacting models.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/JHEP04(2023)105</doi><tpages>22</tpages><orcidid>https://orcid.org/0000-0002-7408-0918</orcidid><oa>free_for_read</oa></addata></record> |
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| issn | 1029-8479 1029-8479 |
| language | eng |
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| source | Publicly Available Content Database; Springer Nature - SpringerLink Journals - Fully Open Access |
| subjects | 1/N Expansion Chain entanglement Charge density Classical and Quantum Gravitation Elementary Particles Entanglement Entropy (Information theory) Field Theories in Lower Dimensions High energy physics Mathematical analysis Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory String Theory Velocity |
| title | Information scrambling and entanglement dynamics of complex Brownian Sachdev-Ye-Kitaev models |
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