Butterflies from information metric
A bstract We study time evolution of distance between thermal states excited by local operators, with different external couplings. We find that growth of the distance implies growth of commutators of operators, signifying the local excitations are scrambled. We confirm this growth of distance by ho...
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| Veröffentlicht in: | The journal of high energy physics 2016-09, Vol.2016 (9), p.1-13, Article 2 |
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| container_title | The journal of high energy physics |
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| creator | Miyaji, Masamichi |
| description | A
bstract
We study time evolution of distance between thermal states excited by local operators, with different external couplings. We find that growth of the distance implies growth of commutators of operators, signifying the local excitations are scrambled. We confirm this growth of distance by holographic computation, by evaluating volume of codimension 1 extremal volume surface. We find that the distance increases exponentially as
e
2
π
t
β
. Our result implies that, in chaotic system, trajectories of excited thermal states exhibit high sensitivity to perturbation to the Hamiltonian, and the distance between them will be significant at the scrambling time. We also confirm the decay of two point function of holographic Wilson loops on thermofield double state. |
| doi_str_mv | 10.1007/JHEP09(2016)002 |
| format | Article |
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bstract
We study time evolution of distance between thermal states excited by local operators, with different external couplings. We find that growth of the distance implies growth of commutators of operators, signifying the local excitations are scrambled. We confirm this growth of distance by holographic computation, by evaluating volume of codimension 1 extremal volume surface. We find that the distance increases exponentially as
e
2
π
t
β
. Our result implies that, in chaotic system, trajectories of excited thermal states exhibit high sensitivity to perturbation to the Hamiltonian, and the distance between them will be significant at the scrambling time. We also confirm the decay of two point function of holographic Wilson loops on thermofield double state.</description><identifier>ISSN: 1029-8479</identifier><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP09(2016)002</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Butterflies ; Classical and Quantum Gravitation ; Couplings ; Decay ; Elementary Particles ; Evolution ; High energy physics ; Mathematical analysis ; Operators ; Perturbation methods ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Regular Article - Theoretical Physics ; Relativity Theory ; String Theory ; Texts</subject><ispartof>The journal of high energy physics, 2016-09, Vol.2016 (9), p.1-13, Article 2</ispartof><rights>The Author(s) 2016</rights><rights>SISSA, Trieste, Italy 2016</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c494t-f645e65ac010fbf5d3b79e187e44ca84f7a40e8d2ae0a4a3e81ae0365f5915323</citedby><cites>FETCH-LOGICAL-c494t-f645e65ac010fbf5d3b79e187e44ca84f7a40e8d2ae0a4a3e81ae0365f5915323</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/JHEP09(2016)002$$EPDF$$P50$$Gspringer$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://doi.org/10.1007/JHEP09(2016)002$$EHTML$$P50$$Gspringer$$Hfree_for_read</linktohtml><link.rule.ids>314,780,784,864,27924,27925,41120,42189,51576</link.rule.ids></links><search><creatorcontrib>Miyaji, Masamichi</creatorcontrib><title>Butterflies from information metric</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>A
bstract
We study time evolution of distance between thermal states excited by local operators, with different external couplings. We find that growth of the distance implies growth of commutators of operators, signifying the local excitations are scrambled. We confirm this growth of distance by holographic computation, by evaluating volume of codimension 1 extremal volume surface. We find that the distance increases exponentially as
e
2
π
t
β
. Our result implies that, in chaotic system, trajectories of excited thermal states exhibit high sensitivity to perturbation to the Hamiltonian, and the distance between them will be significant at the scrambling time. We also confirm the decay of two point function of holographic Wilson loops on thermofield double state.</description><subject>Butterflies</subject><subject>Classical and Quantum Gravitation</subject><subject>Couplings</subject><subject>Decay</subject><subject>Elementary Particles</subject><subject>Evolution</subject><subject>High energy physics</subject><subject>Mathematical analysis</subject><subject>Operators</subject><subject>Perturbation methods</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>Texts</subject><issn>1029-8479</issn><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp1kDFPwzAQhS0EEqUws1bqUobQc2zH9ghVoaBKMMBsuekZpUriYicD_76uwlAhMd0bvvd0-gi5pXBPAeT8dbV8Bz3LgRZ3APkZGVHIdaa41Ocn-ZJcxbgDoIJqGJHpY991GFxdYZy44JtJ1TofGttVvp002IWqvCYXztYRb37vmHw-LT8Wq2z99vyyeFhnJde8y1zBBRbClkDBbZzYso3USJVEzkuruJOWA6ptbhEstwwVTYkVwglNBcvZmMyG3X3w3z3GzjRVLLGubYu-j4YqLqRmkqmETv-gO9-HNn2XKFrkWhaiSNR8oMrgYwzozD5UjQ0_hoI5SjODNHOUZpK01IChERPZfmE42f2ncgAWL2yZ</recordid><startdate>20160901</startdate><enddate>20160901</enddate><creator>Miyaji, Masamichi</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</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>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20160901</creationdate><title>Butterflies from information metric</title><author>Miyaji, Masamichi</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c494t-f645e65ac010fbf5d3b79e187e44ca84f7a40e8d2ae0a4a3e81ae0365f5915323</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Butterflies</topic><topic>Classical and Quantum Gravitation</topic><topic>Couplings</topic><topic>Decay</topic><topic>Elementary Particles</topic><topic>Evolution</topic><topic>High energy physics</topic><topic>Mathematical analysis</topic><topic>Operators</topic><topic>Perturbation methods</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>Texts</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Miyaji, Masamichi</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>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>The journal of high energy physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Miyaji, Masamichi</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Butterflies from information metric</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. High Energ. Phys</stitle><date>2016-09-01</date><risdate>2016</risdate><volume>2016</volume><issue>9</issue><spage>1</spage><epage>13</epage><pages>1-13</pages><artnum>2</artnum><issn>1029-8479</issn><eissn>1029-8479</eissn><abstract>A
bstract
We study time evolution of distance between thermal states excited by local operators, with different external couplings. We find that growth of the distance implies growth of commutators of operators, signifying the local excitations are scrambled. We confirm this growth of distance by holographic computation, by evaluating volume of codimension 1 extremal volume surface. We find that the distance increases exponentially as
e
2
π
t
β
. Our result implies that, in chaotic system, trajectories of excited thermal states exhibit high sensitivity to perturbation to the Hamiltonian, and the distance between them will be significant at the scrambling time. We also confirm the decay of two point function of holographic Wilson loops on thermofield double state.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/JHEP09(2016)002</doi><tpages>13</tpages><oa>free_for_read</oa></addata></record> |
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| ispartof | The journal of high energy physics, 2016-09, Vol.2016 (9), p.1-13, Article 2 |
| issn | 1029-8479 1029-8479 |
| language | eng |
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| source | DOAJ Directory of Open Access Journals; Springer Nature OA Free Journals; EZB-FREE-00999 freely available EZB journals; Alma/SFX Local Collection |
| subjects | Butterflies Classical and Quantum Gravitation Couplings Decay Elementary Particles Evolution High energy physics Mathematical analysis Operators Perturbation methods Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory String Theory Texts |
| title | Butterflies from information metric |
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