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 exactly the vacuum state's time evolution. It is shown that the vacuum evolves as a time dependent \(SU(2)\) squezed state. The time depende...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2020-07
Main Author: Nedel, Daniel L
Format: Article
Language:English
Subjects:
Entanglement
Entropy
Time dependence
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by
cites
container_end_page
container_issue
container_start_page
container_title arXiv.org
container_volume
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 exactly the vacuum state's time evolution. It is shown that the vacuum evolves as a time dependent \(SU(2)\) squezed state. The time dependent entanglement entropy is calculated and it has the same form of the Page curve of Black Hole formation and evaporation.
doi_str_mv 10.48550/arxiv.2007.06770
format article
fullrecord <record><control><sourceid>proquest</sourceid><recordid>TN_cdi_proquest_journals_2423981235</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2423981235</sourcerecordid><originalsourceid>FETCH-LOGICAL-a525-5e2480d201d2c5839a1e4d001cc43ff498f919efae9fe3073e5a2e64f490e83f3</originalsourceid><addsrcrecordid>eNotjc1Kw0AURgdBsNQ-gLsB14l37p1JJjslVC0WFMzGVRkyd0pKMqn5Kfr2Fuzq43DgfELcKUi1NQYe3PDTnFIEyFPI8hyuxAKJVGI14o1YjeMBADDL0RhaiMeq6Vh6PnL0HCe5jpOL-5a7Cwz98Vc2UX5-vcmu99yO0kUvP9yeZTkPJ74V18G1I68uuxTV87oqX5Pt-8umfNomzqBJDKO24BGUx9pYKpxi7QFUXWsKQRc2FKrg4LgITJATG4ec6bMBthRoKe7_s8eh_555nHaHfh7i-XGHGqmwCsnQH-FtSd8</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2423981235</pqid></control><display><type>article</type><title>Time dependent Entanglement Entropy in SYK models and Page Curve</title><source>Publicly Available Content Database (Proquest) (PQ_SDU_P3)</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 exactly the vacuum state's time evolution. It is shown that the vacuum evolves as a time dependent \(SU(2)\) squezed state. The time dependent entanglement entropy is calculated and it has the same form of the Page curve of Black Hole formation and evaporation.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.2007.06770</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Entanglement ; Entropy ; Time dependence</subject><ispartof>arXiv.org, 2020-07</ispartof><rights>2020. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.proquest.com/docview/2423981235?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>780,784,25753,27925,37012,44590</link.rule.ids></links><search><creatorcontrib>Nedel, Daniel L</creatorcontrib><title>Time dependent Entanglement Entropy in SYK models and Page Curve</title><title>arXiv.org</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 exactly the vacuum state's time evolution. It is shown that the vacuum evolves as a time dependent \(SU(2)\) squezed state. The time dependent entanglement entropy is calculated and it has the same form of the Page curve of Black Hole formation and evaporation.</description><subject>Entanglement</subject><subject>Entropy</subject><subject>Time dependence</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><recordid>eNotjc1Kw0AURgdBsNQ-gLsB14l37p1JJjslVC0WFMzGVRkyd0pKMqn5Kfr2Fuzq43DgfELcKUi1NQYe3PDTnFIEyFPI8hyuxAKJVGI14o1YjeMBADDL0RhaiMeq6Vh6PnL0HCe5jpOL-5a7Cwz98Vc2UX5-vcmu99yO0kUvP9yeZTkPJ74V18G1I68uuxTV87oqX5Pt-8umfNomzqBJDKO24BGUx9pYKpxi7QFUXWsKQRc2FKrg4LgITJATG4ec6bMBthRoKe7_s8eh_555nHaHfh7i-XGHGqmwCsnQH-FtSd8</recordid><startdate>20200720</startdate><enddate>20200720</enddate><creator>Nedel, Daniel L</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20200720</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-a525-5e2480d201d2c5839a1e4d001cc43ff498f919efae9fe3073e5a2e64f490e83f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Entanglement</topic><topic>Entropy</topic><topic>Time dependence</topic><toplevel>online_resources</toplevel><creatorcontrib>Nedel, Daniel L</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central</collection><collection>ProQuest Central Essentials</collection><collection>AUTh Library subscriptions: ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>SciTech Premium Collection (Proquest) (PQ_SDU_P3)</collection><collection>ProQuest Engineering Collection</collection><collection>ProQuest Engineering Database</collection><collection>Publicly Available Content Database (Proquest) (PQ_SDU_P3)</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>Engineering Collection</collection><jtitle>arXiv.org</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>arXiv.org</jtitle><date>2020-07-20</date><risdate>2020</risdate><eissn>2331-8422</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 exactly the vacuum state's time evolution. It is shown that the vacuum evolves as a time dependent \(SU(2)\) squezed state. The time dependent entanglement entropy is calculated and it has the same form of the Page curve of Black Hole formation and evaporation.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.2007.06770</doi><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier EISSN: 2331-8422
ispartof arXiv.org, 2020-07
issn 2331-8422
language eng
recordid cdi_proquest_journals_2423981235
source Publicly Available Content Database (Proquest) (PQ_SDU_P3)
subjects Entanglement
Entropy
Time dependence
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%3A47%3A10IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest&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=arXiv.org&rft.au=Nedel,%20Daniel%20L&rft.date=2020-07-20&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.2007.06770&rft_dat=%3Cproquest%3E2423981235%3C/proquest%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-a525-5e2480d201d2c5839a1e4d001cc43ff498f919efae9fe3073e5a2e64f490e83f3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2423981235&rft_id=info:pmid/&rfr_iscdi=true