Instantons and the quantum bound to chaos
We investigate why the Lyapunov exponents $\lambda$ of out-of-time-ordered correlators (OTOCs) satisfy a universal bound $\lambda < 2 \pi k_B T/{\hbar}$ by probing imaginary-time path-integral space using ring-polymer molecular dynamics (RPMD) for a barrier-crossing model. We find that the RPMD O...
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| creator | Sadhasivam, Vijay Ganesh Meuser, Lars Reichman, David R Althorpe, Stuart C |
| description | We investigate why the Lyapunov exponents $\lambda$ of out-of-time-ordered
correlators (OTOCs) satisfy a universal bound $\lambda < 2 \pi k_B T/{\hbar}$
by probing imaginary-time path-integral space using ring-polymer molecular
dynamics (RPMD) for a barrier-crossing model. We find that the RPMD OTOC
satisfies the same bound as the quantum OTOC, which is caused by the stability
of quantum thermal fluctuations around the instanton on the barrier. We expect
that similar instantons (or other delocalised structures) will be found in many
other systems with exponentially growing OTOCs. |
| doi_str_mv | 10.48550/arxiv.2212.10202 |
| format | Article |
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correlators (OTOCs) satisfy a universal bound $\lambda < 2 \pi k_B T/{\hbar}$
by probing imaginary-time path-integral space using ring-polymer molecular
dynamics (RPMD) for a barrier-crossing model. We find that the RPMD OTOC
satisfies the same bound as the quantum OTOC, which is caused by the stability
of quantum thermal fluctuations around the instanton on the barrier. We expect
that similar instantons (or other delocalised structures) will be found in many
other systems with exponentially growing OTOCs.</description><identifier>DOI: 10.48550/arxiv.2212.10202</identifier><language>eng</language><subject>Physics - Chemical Physics ; Physics - Quantum Physics</subject><creationdate>2022-12</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/2212.10202$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2212.10202$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Sadhasivam, Vijay Ganesh</creatorcontrib><creatorcontrib>Meuser, Lars</creatorcontrib><creatorcontrib>Reichman, David R</creatorcontrib><creatorcontrib>Althorpe, Stuart C</creatorcontrib><title>Instantons and the quantum bound to chaos</title><description>We investigate why the Lyapunov exponents $\lambda$ of out-of-time-ordered
correlators (OTOCs) satisfy a universal bound $\lambda < 2 \pi k_B T/{\hbar}$
by probing imaginary-time path-integral space using ring-polymer molecular
dynamics (RPMD) for a barrier-crossing model. We find that the RPMD OTOC
satisfies the same bound as the quantum OTOC, which is caused by the stability
of quantum thermal fluctuations around the instanton on the barrier. We expect
that similar instantons (or other delocalised structures) will be found in many
other systems with exponentially growing OTOCs.</description><subject>Physics - Chemical Physics</subject><subject>Physics - Quantum Physics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotzjsLwjAUBeAsDqL-ACezOrTm3pgmHaX4KAgu7uUmbVHQVvsQ_fe2VThw4AyHj7E5CH9tlBIrqt7Xl48I6INAgWO2jIu6oaIpi5pTkfLmkvFn2w3tnduy7ZeSuwuV9ZSNcrrV2ezfE3bebc_RwTue9nG0OXoUaPRMmnXJEaVz2uYK0twpGzqhpFYUqgA6CAgjdGAgA7UmraV1LggNgtUoJ2zxux2syaO63qn6JL05GczyCw3wOoA</recordid><startdate>20221220</startdate><enddate>20221220</enddate><creator>Sadhasivam, Vijay Ganesh</creator><creator>Meuser, Lars</creator><creator>Reichman, David R</creator><creator>Althorpe, Stuart C</creator><scope>GOX</scope></search><sort><creationdate>20221220</creationdate><title>Instantons and the quantum bound to chaos</title><author>Sadhasivam, Vijay Ganesh ; Meuser, Lars ; Reichman, David R ; Althorpe, Stuart C</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a672-8de8def223cc7bf51dfc5b9c05375a956185510807681e154a773bcc69821b723</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Physics - Chemical Physics</topic><topic>Physics - Quantum Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Sadhasivam, Vijay Ganesh</creatorcontrib><creatorcontrib>Meuser, Lars</creatorcontrib><creatorcontrib>Reichman, David R</creatorcontrib><creatorcontrib>Althorpe, Stuart C</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Sadhasivam, Vijay Ganesh</au><au>Meuser, Lars</au><au>Reichman, David R</au><au>Althorpe, Stuart C</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Instantons and the quantum bound to chaos</atitle><date>2022-12-20</date><risdate>2022</risdate><abstract>We investigate why the Lyapunov exponents $\lambda$ of out-of-time-ordered
correlators (OTOCs) satisfy a universal bound $\lambda < 2 \pi k_B T/{\hbar}$
by probing imaginary-time path-integral space using ring-polymer molecular
dynamics (RPMD) for a barrier-crossing model. We find that the RPMD OTOC
satisfies the same bound as the quantum OTOC, which is caused by the stability
of quantum thermal fluctuations around the instanton on the barrier. We expect
that similar instantons (or other delocalised structures) will be found in many
other systems with exponentially growing OTOCs.</abstract><doi>10.48550/arxiv.2212.10202</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Physics - Chemical Physics Physics - Quantum Physics |
| title | Instantons and the quantum bound to chaos |
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