Sensitivity to small perturbations in systems of large quantum spins

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dc.contributor.author A. Elsayed, Tarek
dc.contributor.author V. Fine, Boris
dc.date.accessioned 2020-02-26T09:23:45Z
dc.date.available 2020-02-26T09:23:45Z
dc.date.issued 2015
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dc.identifier.uri https://t.ly/ndWKY
dc.description MSA Google Scholar en_US
dc.description.abstract We investigate the sensitivity of nonintegrable large-spin quantum lattices to small perturbations with a particular focus on the time reversal experiments known in statistical physics as “Loschmidt echoes” and in nuclear magnetic resonance (NMR) as “magic echoes.” Our numerical simulations of quantum spin-7 1 2 clusters indicate that there is a regime, where Loschmidt echoes exhibit nearly exponential sensitivity to small perturbations with characteristic constant approximately equal to twice the value of the largest Lyapunov exponent of the corresponding classical spin clusters. The above theoretical results are verifiable by NMR experiments on solids containing large-spin nuclei. en_US
dc.description.sponsorship IOP Publishing en_US
dc.description.uri https://www.scimagojr.com/journalsearch.php?q=29122&tip=sid&clean=0
dc.language.iso en en_US
dc.publisher IOP Publishing en_US
dc.relation.ispartofseries Physica Scripta;Volume: 2015 Issue: T165 Pages: 1-4
dc.subject University of Large quantum spins en_US
dc.title Sensitivity to small perturbations in systems of large quantum spins en_US
dc.type Article en_US
dc.Affiliation October University for modern sciences and Arts (MSA)


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