Sensitivity to small perturbations in systems of large quantum spins

Tarek A. Elsayed, Boris V. Fine

Research output: Contribution to journalArticle

12 Citations (Scopus)

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-71/2 clusters indicate that there is a regime where Loschmidt echoes exhibit nearly exponential sensitivity to small perturbations with characteristic onstant 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.

Original languageEnglish
Article number014011
JournalPhysica Scripta
Volume2015
Issue numberT165
DOIs
Publication statusPublished - Oct 7 2015
Externally publishedYes

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Keywords

  • chaos
  • quantum-classical correspondence
  • spin systems

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Mathematical Physics
  • Condensed Matter Physics
  • Physics and Astronomy(all)

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