Quantum Ising model on two dimensional anti-de Sitter space
This paper investigates the transverse Ising model on a discretization of two-dimensional anti-de Sitter space. We use classical and quantum algorithms to simulate real-time evolution and measure out-of-time-ordered correlators (OTOC). The latter can probe thermalization and scrambling of quantum in...
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | |
| container_volume | |
| creator | Asaduzzaman, Muhammad Catterall, Simon Meurice, Yannick Toga, Goksu Can |
| description | This paper investigates the transverse Ising model on a discretization of
two-dimensional anti-de Sitter space. We use classical and quantum algorithms
to simulate real-time evolution and measure out-of-time-ordered correlators
(OTOC). The latter can probe thermalization and scrambling of quantum
information under time evolution. We compared tensor network-based methods both
with simulation on gated-based superconducting quantum devices and analog
quantum simulation using Rydberg arrays. While studying this system's
thermalization properties, we observed different regimes depending on the
radius of curvature of the space. In particular, we find a region of parameter
space where the thermalization time depends only logarithmically on the number
of degrees of freedom. |
| doi_str_mv | 10.48550/arxiv.2309.04383 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_2309_04383</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2309_04383</sourcerecordid><originalsourceid>FETCH-LOGICAL-a673-ce442d153b0da8bae3e2d41361886e8d4c61a31717923b0a8de0ca747abab7a13</originalsourceid><addsrcrecordid>eNotj8kKwjAURbNxIeoHuDI_0Jr0pU3ElYgTCCK6L6_NUwJtKm2d_t5xdTeHyzmMDaUIlYljMcb64W5hBGISCgUGumy6v6JvryXfNM6feVlZKnjleXuvuHUl-cZVHgv-hlxgiR9c21LNmwvm1GedExYNDf7bY8fl4jhfB9vdajOfbQNMNAQ5KRVZGUMmLJoMCSiySkIijUnIWJUnEkFqqSfRm0FjSeSolcYMM40Semz0u_3ap5falVg_009F-q2AF2xjQes</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Quantum Ising model on two dimensional anti-de Sitter space</title><source>arXiv.org</source><creator>Asaduzzaman, Muhammad ; Catterall, Simon ; Meurice, Yannick ; Toga, Goksu Can</creator><creatorcontrib>Asaduzzaman, Muhammad ; Catterall, Simon ; Meurice, Yannick ; Toga, Goksu Can</creatorcontrib><description>This paper investigates the transverse Ising model on a discretization of
two-dimensional anti-de Sitter space. We use classical and quantum algorithms
to simulate real-time evolution and measure out-of-time-ordered correlators
(OTOC). The latter can probe thermalization and scrambling of quantum
information under time evolution. We compared tensor network-based methods both
with simulation on gated-based superconducting quantum devices and analog
quantum simulation using Rydberg arrays. While studying this system's
thermalization properties, we observed different regimes depending on the
radius of curvature of the space. In particular, we find a region of parameter
space where the thermalization time depends only logarithmically on the number
of degrees of freedom.</description><identifier>DOI: 10.48550/arxiv.2309.04383</identifier><language>eng</language><subject>Physics - High Energy Physics - Lattice ; Physics - High Energy Physics - Theory ; Physics - Quantum Physics</subject><creationdate>2023-09</creationdate><rights>http://creativecommons.org/licenses/by/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2309.04383$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2309.04383$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Asaduzzaman, Muhammad</creatorcontrib><creatorcontrib>Catterall, Simon</creatorcontrib><creatorcontrib>Meurice, Yannick</creatorcontrib><creatorcontrib>Toga, Goksu Can</creatorcontrib><title>Quantum Ising model on two dimensional anti-de Sitter space</title><description>This paper investigates the transverse Ising model on a discretization of
two-dimensional anti-de Sitter space. We use classical and quantum algorithms
to simulate real-time evolution and measure out-of-time-ordered correlators
(OTOC). The latter can probe thermalization and scrambling of quantum
information under time evolution. We compared tensor network-based methods both
with simulation on gated-based superconducting quantum devices and analog
quantum simulation using Rydberg arrays. While studying this system's
thermalization properties, we observed different regimes depending on the
radius of curvature of the space. In particular, we find a region of parameter
space where the thermalization time depends only logarithmically on the number
of degrees of freedom.</description><subject>Physics - High Energy Physics - Lattice</subject><subject>Physics - High Energy Physics - Theory</subject><subject>Physics - Quantum Physics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj8kKwjAURbNxIeoHuDI_0Jr0pU3ElYgTCCK6L6_NUwJtKm2d_t5xdTeHyzmMDaUIlYljMcb64W5hBGISCgUGumy6v6JvryXfNM6feVlZKnjleXuvuHUl-cZVHgv-hlxgiR9c21LNmwvm1GedExYNDf7bY8fl4jhfB9vdajOfbQNMNAQ5KRVZGUMmLJoMCSiySkIijUnIWJUnEkFqqSfRm0FjSeSolcYMM40Semz0u_3ap5falVg_009F-q2AF2xjQes</recordid><startdate>20230908</startdate><enddate>20230908</enddate><creator>Asaduzzaman, Muhammad</creator><creator>Catterall, Simon</creator><creator>Meurice, Yannick</creator><creator>Toga, Goksu Can</creator><scope>GOX</scope></search><sort><creationdate>20230908</creationdate><title>Quantum Ising model on two dimensional anti-de Sitter space</title><author>Asaduzzaman, Muhammad ; Catterall, Simon ; Meurice, Yannick ; Toga, Goksu Can</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a673-ce442d153b0da8bae3e2d41361886e8d4c61a31717923b0a8de0ca747abab7a13</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Physics - High Energy Physics - Lattice</topic><topic>Physics - High Energy Physics - Theory</topic><topic>Physics - Quantum Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Asaduzzaman, Muhammad</creatorcontrib><creatorcontrib>Catterall, Simon</creatorcontrib><creatorcontrib>Meurice, Yannick</creatorcontrib><creatorcontrib>Toga, Goksu Can</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Asaduzzaman, Muhammad</au><au>Catterall, Simon</au><au>Meurice, Yannick</au><au>Toga, Goksu Can</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Quantum Ising model on two dimensional anti-de Sitter space</atitle><date>2023-09-08</date><risdate>2023</risdate><abstract>This paper investigates the transverse Ising model on a discretization of
two-dimensional anti-de Sitter space. We use classical and quantum algorithms
to simulate real-time evolution and measure out-of-time-ordered correlators
(OTOC). The latter can probe thermalization and scrambling of quantum
information under time evolution. We compared tensor network-based methods both
with simulation on gated-based superconducting quantum devices and analog
quantum simulation using Rydberg arrays. While studying this system's
thermalization properties, we observed different regimes depending on the
radius of curvature of the space. In particular, we find a region of parameter
space where the thermalization time depends only logarithmically on the number
of degrees of freedom.</abstract><doi>10.48550/arxiv.2309.04383</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext_linktorsrc |
| identifier | DOI: 10.48550/arxiv.2309.04383 |
| ispartof | |
| issn | |
| language | eng |
| recordid | cdi_arxiv_primary_2309_04383 |
| source | arXiv.org |
| subjects | Physics - High Energy Physics - Lattice Physics - High Energy Physics - Theory Physics - Quantum Physics |
| title | Quantum Ising model on two dimensional anti-de Sitter space |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-01T12%3A26%3A53IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Quantum%20Ising%20model%20on%20two%20dimensional%20anti-de%20Sitter%20space&rft.au=Asaduzzaman,%20Muhammad&rft.date=2023-09-08&rft_id=info:doi/10.48550/arxiv.2309.04383&rft_dat=%3Carxiv_GOX%3E2309_04383%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |