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  Scrambling is Necessary but Not Sufficient for Chaos

Dowling, N., Kos, P., & Modi, K. (2023). Scrambling is Necessary but Not Sufficient for Chaos. Physical Review Letters, 131: 180403. doi:10.1103/PhysRevLett.131.180403.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000D-3C2D-F Version Permalink: https://hdl.handle.net/21.11116/0000-000F-E913-5
Genre: Journal Article

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 Creators:
Dowling, Neil, Author
Kos, Pavel1, 2, Author           
Modi, Kavan, Author
Affiliations:
1Theory, Max Planck Institute of Quantum Optics, Max Planck Society, ou_1445571              
2MCQST - Munich Center for Quantum Science and Technology, External Organizations, Schellingstraße 4, 80799 München, DE, ou_3330166              

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Free keywords: Nonlinear Sciences, Chaotic Dynamics, nlin.CD
 Abstract: We show that out-of-time-order correlators (OTOCs) constitute a probe for
Local-Operator Entanglement (LOE). There is strong evidence that a volumetric
growth of LOE is a faithful dynamical signature of quantum chaos, while OTOC
decay corresponds to operator scrambling, often conflated with chaos. We show
that rapid OTOC decay is a necessary but not sufficient condition for linear
(chaotic) growth of the LOE entropy. We analytically support our results
through wide classes of local-circuit models of many-body dynamics, including
both integrable and non-integrable dual-unitary circuits. We show sufficient
conditions under which local dynamics leads to an equivalence of scrambling and
chaos.

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Language(s): eng - English
 Dates: 2023-04-142023-09-142023-11
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 2304.07319v1
DOI: 10.1103/PhysRevLett.131.180403
 Degree: -

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Project name : Project 57445566
Grant ID : -
Funding program : -
Funding organization : DAAD Australia-Germany Joint Research Cooperation Scheme

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Title: Physical Review Letters
  Abbreviation : Phys. Rev. Lett.
Source Genre: Journal
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Publ. Info: Woodbury, N.Y. : American Physical Society
Pages: - Volume / Issue: 131 Sequence Number: 180403 Start / End Page: - Identifier: ISSN: 0031-9007
CoNE: https://pure.mpg.de/cone/journals/resource/954925433406_1