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28 March 2024
 
  » arxiv » cond-mat/9810145

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Semiclassical description of Heisenberg models via spin-coherent states
John Schliemann ; Franz G. Mertens ;
Date 13 Oct 1998
Journal J. Phys.: Condens. Matter 10, 1091 (1998)
Subject Condensed Matter; Pattern Formation and Solitons | cond-mat nlin.PS patt-sol quant-ph
AbstractWe use spin-coherent states as a time-dependent variational ansatz for a semiclassical description of a large family of Heisenberg models. In addition to common approaches we also evaluate the square variance of the Hamiltonian in terms of coherent states. This quantity turns out to have a natural interpretation with respect to time-dependent solutions of the equations of motion and allows for an estimate of quantum fluctuations in a semiclassical regime. The general results are applied to solitons, instantons and vortices in several one- and two-dimensional models.
Source arXiv, cond-mat/9810145
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