Semi-classical dynamics in quantum spin systems

Fröhlich, Jürg and Knowles, Antti and Lenzmann, Enno. (2007) Semi-classical dynamics in quantum spin systems. Letters in Mathematical Physics, 82 (2-3). pp. 275-296.

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Official URL: http://edoc.unibas.ch/49583/

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We consider two limiting regimes, the large-spin and the mean-field limit, for the dynamical evolution of quantum spin systems. We prove that, in these limits, the time evolution of a class of quantum spin systems is determined by a corresponding Hamiltonian dynamics of classical spins. This result can be viewed as a Egorov-type theorem. We extend our results to the thermodynamic limit of lattice spin systems and continuum domains of infinite size, and we study the time evolution of coherent spin states in these limiting regimes.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Analysis (Lenzmann)
UniBasel Contributors:Lenzmann, Enno
Item Type:Article, refereed
Article Subtype:Research Article
Note:Publication type according to Uni Basel Research Database: Journal article
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Last Modified:28 Nov 2017 08:35
Deposited On:28 Nov 2017 08:35

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