Decay of spin-spin correlations in disordered quantum and classical spin chains

DC FieldValueLanguage
dc.contributor.authorRichter, Jonas
dc.contributor.authorSchubert, Dennis
dc.contributor.authorSteinigeweg, Robin
dc.date.accessioned2021-12-23T15:56:17Z-
dc.date.available2021-12-23T15:56:17Z-
dc.date.issued2020
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/2276-
dc.description.abstractThe real-time dynamics of equal-site correlation functions is studied for one-dimensional spin models with quenched disorder. Focusing on infinite temperature, we present a comparison between the dynamics of models with different quantum numbers S = 1/2, 1, 3/2, as well as of chains consisting of classical spins. Based on this comparison as well as by analyzing the statistics of energy-level spacings, we show that the putative many-body localization transition is shifted to considerably stronger values of disorder for increasing S. In this context, we introduce an effective disorder strength W-eff, which provides a mapping between the dynamics for different spin quantum numbers. For small W-eff, we show that the real-time correlations become essentially independent of S, and are moreover very well captured by the dynamics of classical spins. Especially for S = 3/2, the agreement between quantum and classical dynamics is remarkably observed even for very strong values of disorder. This behavior also reflects itself in the corresponding spectral functions, which are obtained via a Fourier transform from the time to the frequency domain. As an aside, we also comment on the self-averaging properties of the correlation function at weak and strong disorder. Our work sheds light on the correspondence between quantum and classical dynamics at high temperatures and extends our understanding of the dynamics in disordered spin chains beyond the well-studied case of S = 1/2.
dc.description.sponsorshipDeutsche Forschungsgemeinschaft (DFG)German Research Foundation (DFG) [397067869 (STE 2243/3-1), 355031190, FOR 2692]; We thank M. Serbyn for fruitful discussions. This work has been funded by the Deutsche Forschungsgemeinschaft (DFG), Grants No. 397067869 (STE 2243/3-1) and No. 355031190, within the DFG Research Unit FOR 2692.
dc.language.isoen
dc.publisherAMER PHYSICAL SOC
dc.relation.ispartofPHYSICAL REVIEW RESEARCH
dc.subjectABSENCE
dc.subjectBREAKDOWN
dc.subjectCHAOS
dc.subjectDIFFUSION
dc.subjectHYDRODYNAMICS
dc.subjectMANY-BODY LOCALIZATION
dc.subjectPhysics
dc.subjectPhysics, Multidisciplinary
dc.subjectTHERMALIZATION
dc.titleDecay of spin-spin correlations in disordered quantum and classical spin chains
dc.typejournal article
dc.identifier.doi10.1103/PhysRevResearch.2.013130
dc.identifier.isiISI:000602487100003
dc.description.volume2
dc.description.issue1
dc.contributor.orcid0000-0003-0608-0884
dc.contributor.orcid0000-0003-2184-5275
dc.contributor.researcheridA-5205-2009
dc.identifier.eissn26431564
dc.publisher.placeONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
dcterms.isPartOf.abbreviationPhys. Rev. Res.
dcterms.oaStatusGreen Submitted, gold
crisitem.author.deptFB 04 - Physik-
crisitem.author.deptidfb04-
crisitem.author.orcid0000-0003-0608-0884-
crisitem.author.parentorgUniversität Osnabrück-
crisitem.author.netidStRo766-
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