Classical stochasticity and quantum uncertainty in a simple quantum spin model

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Original languageEnglish
Pages (from-to)1203-1204
Number of pages2
JournalJournal of Magnetism and Magnetic Materials
Volume54-57
Issue numberPART 3
Publication statusPublished - Feb 1986

Abstract

We investigate the dynamics of one anisotropic spin in an external time-dependent magnetic field. Results on this model, which is classically chaotic, are presented for a quantum spin, in particular for S≫1. Quantum unpredictability dominates in regular regions of phase space; in irregular regions of phase space we find classical stochasticity governed by a S-dependent Lyapunov exponent as long as t<T0, where T0 ∼ log S.

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Classical stochasticity and quantum uncertainty in a simple quantum spin model. / Frahm, H.; Mikeska, H. J.
In: Journal of Magnetism and Magnetic Materials, Vol. 54-57, No. PART 3, 02.1986, p. 1203-1204.

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