Time dependent entanglement entropy in SYK models and page curve

In this work new interaction terms between two SYK models are proposed, which allow to define an interaction picture such that it is possible to calculate the vacuum time dependent entanglement entropy at the conformal and large N limit. It is shown that the vacuum evolves as a time dependent SU(2)...

Full description

Saved in:
Bibliographic Details
Published in:Physics letters. B 2021-06, Vol.817, p.136340, Article 136340
Main Author: Nedel, Daniel L.
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c426t-5ecba89bc04b731d560e1203688a2c3e25ea98ea8f488d1d49aa37f7e0e3b9903
cites cdi_FETCH-LOGICAL-c426t-5ecba89bc04b731d560e1203688a2c3e25ea98ea8f488d1d49aa37f7e0e3b9903
container_end_page
container_issue
container_start_page 136340
container_title Physics letters. B
container_volume 817
creator Nedel, Daniel L.
description In this work new interaction terms between two SYK models are proposed, which allow to define an interaction picture such that it is possible to calculate the vacuum time dependent entanglement entropy at the conformal and large N limit. It is shown that the vacuum evolves as a time dependent SU(2) squeezed state and the time dependent entanglement entropy has the same form of the Page curve of Black Hole formation and evaporation.
doi_str_mv 10.1016/j.physletb.2021.136340
format article
fullrecord <record><control><sourceid>elsevier_doaj_</sourceid><recordid>TN_cdi_doaj_primary_oai_doaj_org_article_ede50eaad73041758239d9d62235e2ed</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S037026932100280X</els_id><doaj_id>oai_doaj_org_article_ede50eaad73041758239d9d62235e2ed</doaj_id><sourcerecordid>S037026932100280X</sourcerecordid><originalsourceid>FETCH-LOGICAL-c426t-5ecba89bc04b731d560e1203688a2c3e25ea98ea8f488d1d49aa37f7e0e3b9903</originalsourceid><addsrcrecordid>eNqFkNtKw0AQhhdRsB5eQfICqbPHbO4qxUOx4IX1wqtlszupW3JiEwt9e1NTvPViGGbg_2b4CLmjMKdA1f1u3n0d-gqHYs6A0Tnligs4IzOqM54yIeQ5mQHPIGUq55fkqu93AEAlqBlZbEKNiccOG4_NkIxlm22F9WmIbXdIQpO8f74mdeux6hPb-KSzW0zcd9zjDbkobdXj7alfk4-nx83yJV2_Pa-WD-vUCaaGVKIrrM4LB6LIOPVSAVIGXGltmePIJNpco9Wl0NpTL3JreVZmCMiLPAd-TVYT17d2Z7oYahsPprXB_C7auDU2DsFVaNCjBLTWZxwEzaRmPPe5V4xxiQz9yFITy8W27yOWfzwK5ujUjBdOTs3RqZmcjsHFFBw94D5gNL0L2Dj0IaIbxlfCf4gfuv-DDA</addsrcrecordid><sourcetype>Open Website</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Time dependent entanglement entropy in SYK models and page curve</title><source>ScienceDirect Freedom Collection</source><source>ScienceDirect Journals</source><creator>Nedel, Daniel L.</creator><creatorcontrib>Nedel, Daniel L.</creatorcontrib><description>In this work new interaction terms between two SYK models are proposed, which allow to define an interaction picture such that it is possible to calculate the vacuum time dependent entanglement entropy at the conformal and large N limit. It is shown that the vacuum evolves as a time dependent SU(2) squeezed state and the time dependent entanglement entropy has the same form of the Page curve of Black Hole formation and evaporation.</description><identifier>ISSN: 0370-2693</identifier><identifier>EISSN: 1873-2445</identifier><identifier>DOI: 10.1016/j.physletb.2021.136340</identifier><language>eng</language><publisher>Elsevier B.V</publisher><ispartof>Physics letters. B, 2021-06, Vol.817, p.136340, Article 136340</ispartof><rights>2021 The Author(s)</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c426t-5ecba89bc04b731d560e1203688a2c3e25ea98ea8f488d1d49aa37f7e0e3b9903</citedby><cites>FETCH-LOGICAL-c426t-5ecba89bc04b731d560e1203688a2c3e25ea98ea8f488d1d49aa37f7e0e3b9903</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S037026932100280X$$EHTML$$P50$$Gelsevier$$Hfree_for_read</linktohtml><link.rule.ids>314,780,784,3549,27924,27925,45780</link.rule.ids></links><search><creatorcontrib>Nedel, Daniel L.</creatorcontrib><title>Time dependent entanglement entropy in SYK models and page curve</title><title>Physics letters. B</title><description>In this work new interaction terms between two SYK models are proposed, which allow to define an interaction picture such that it is possible to calculate the vacuum time dependent entanglement entropy at the conformal and large N limit. It is shown that the vacuum evolves as a time dependent SU(2) squeezed state and the time dependent entanglement entropy has the same form of the Page curve of Black Hole formation and evaporation.</description><issn>0370-2693</issn><issn>1873-2445</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>DOA</sourceid><recordid>eNqFkNtKw0AQhhdRsB5eQfICqbPHbO4qxUOx4IX1wqtlszupW3JiEwt9e1NTvPViGGbg_2b4CLmjMKdA1f1u3n0d-gqHYs6A0Tnligs4IzOqM54yIeQ5mQHPIGUq55fkqu93AEAlqBlZbEKNiccOG4_NkIxlm22F9WmIbXdIQpO8f74mdeux6hPb-KSzW0zcd9zjDbkobdXj7alfk4-nx83yJV2_Pa-WD-vUCaaGVKIrrM4LB6LIOPVSAVIGXGltmePIJNpco9Wl0NpTL3JreVZmCMiLPAd-TVYT17d2Z7oYahsPprXB_C7auDU2DsFVaNCjBLTWZxwEzaRmPPe5V4xxiQz9yFITy8W27yOWfzwK5ujUjBdOTs3RqZmcjsHFFBw94D5gNL0L2Dj0IaIbxlfCf4gfuv-DDA</recordid><startdate>20210610</startdate><enddate>20210610</enddate><creator>Nedel, Daniel L.</creator><general>Elsevier B.V</general><general>Elsevier</general><scope>6I.</scope><scope>AAFTH</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>DOA</scope></search><sort><creationdate>20210610</creationdate><title>Time dependent entanglement entropy in SYK models and page curve</title><author>Nedel, Daniel L.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c426t-5ecba89bc04b731d560e1203688a2c3e25ea98ea8f488d1d49aa37f7e0e3b9903</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Nedel, Daniel L.</creatorcontrib><collection>ScienceDirect Open Access Titles</collection><collection>Elsevier:ScienceDirect:Open Access</collection><collection>CrossRef</collection><collection>Open Access: DOAJ - Directory of Open Access Journals</collection><jtitle>Physics letters. B</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Nedel, Daniel L.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Time dependent entanglement entropy in SYK models and page curve</atitle><jtitle>Physics letters. B</jtitle><date>2021-06-10</date><risdate>2021</risdate><volume>817</volume><spage>136340</spage><pages>136340-</pages><artnum>136340</artnum><issn>0370-2693</issn><eissn>1873-2445</eissn><abstract>In this work new interaction terms between two SYK models are proposed, which allow to define an interaction picture such that it is possible to calculate the vacuum time dependent entanglement entropy at the conformal and large N limit. It is shown that the vacuum evolves as a time dependent SU(2) squeezed state and the time dependent entanglement entropy has the same form of the Page curve of Black Hole formation and evaporation.</abstract><pub>Elsevier B.V</pub><doi>10.1016/j.physletb.2021.136340</doi><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 0370-2693
ispartof Physics letters. B, 2021-06, Vol.817, p.136340, Article 136340
issn 0370-2693
1873-2445
language eng
recordid cdi_doaj_primary_oai_doaj_org_article_ede50eaad73041758239d9d62235e2ed
source ScienceDirect Freedom Collection; ScienceDirect Journals
title Time dependent entanglement entropy in SYK models and page curve
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-07T13%3A28%3A18IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-elsevier_doaj_&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Time%20dependent%20entanglement%20entropy%20in%20SYK%20models%20and%20page%20curve&rft.jtitle=Physics%20letters.%20B&rft.au=Nedel,%20Daniel%20L.&rft.date=2021-06-10&rft.volume=817&rft.spage=136340&rft.pages=136340-&rft.artnum=136340&rft.issn=0370-2693&rft.eissn=1873-2445&rft_id=info:doi/10.1016/j.physletb.2021.136340&rft_dat=%3Celsevier_doaj_%3ES037026932100280X%3C/elsevier_doaj_%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c426t-5ecba89bc04b731d560e1203688a2c3e25ea98ea8f488d1d49aa37f7e0e3b9903%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true