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dc.contributor.authorSantos, Lea F.
dc.contributor.authorPérez-Bernal, F.
dc.contributor.authorTorres-Herrera, E.J.
dc.date.accessioned2020-11-18T19:11:01Z
dc.date.available2020-11-18T19:11:01Z
dc.date.issued2020
dc.identifier.citationLF Santos, F Pérez-Bernal, EJ Torres-Herrera. Spech of Chaos. (2020). Physical Review Research 2 (4), 043034en_US
dc.identifier.issn1550-2376
dc.identifier.urihttps://doi.org/10.1103/PhysRevResearch.2.043034en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12202/6434
dc.descriptionResearch article, peer-reviewed. Open -Access.en_US
dc.description.abstractIt has been shown that, despite being local, a perturbation applied to a single site of the one-dimensional XXZ model is enough to bring this interacting integrable spin-1/2 system to the chaotic regime. Here, we show that this is not unique to this model, but happens also to the Ising model in a transverse field and to the spin-1 Lai-Sutherland chain. The larger the system is, the smaller the amplitude of the local perturbation for the onset of chaos. We focus on two indicators of chaos, the correlation hole, which is a dynamical tool, and the distribution of off-diagonal elements of local observables, which is used in the eigenstate thermalization hypothesis. Both methods avoid spectrum unfolding and can detect chaos even when the eigenvalues are not separated by symmetry sectors.en_US
dc.description.sponsorshipL.F.S. was supported by the NSF Grant no. DMR-1936006 and thanks Angela Foerster for discussions. This work has received funding from the Spanish National Research, Development, and Innovation plan (RDI plan) under Project No. PID2019-104002GB-C21. It has been partially supported by the Consejería de Conocimiento, Investigación y Universidad, Junta de Andalucía and European Regional Development Fund (ERDF), ref. nos. SOMM17/6105/UGR and UHU-1262561. Computing resources were provided by the CEAFMC and Universidad de Huelva High Performance Computer (HPC@UHU) located in the Campus Universitario el Carmen and funded by FEDER/MINECO project UNHU- 15CE-2848. E.J.T.-H. was funded from VIEP-BUAP (Grants No. MEBJ-EXC19-G, No. LUAGEXC19-G), Mexico. He is also grateful to LNS-BUAP for their supercomputing facility.en_US
dc.language.isoen_USen_US
dc.publisherAmerican Physical Society
dc.relation.ispartofseriesPhysical Review Research;2 (4)
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectchaosen_US
dc.subjectindicatorsen_US
dc.subjectcorrelation holeen_US
dc.subjectchaos detectionen_US
dc.subjectoff-diagonal elementsen_US
dc.titleSpeck of chaos.en_US
dc.typeArticleen_US


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