English

Semiclassical description of Heisenberg models via spin-coherent states

Condensed Matter 2009-10-31 v1 Pattern Formation and Solitons patt-sol Quantum Physics

Abstract

We 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.

Keywords

Cite

@article{arxiv.cond-mat/9810145,
  title  = {Semiclassical description of Heisenberg models via spin-coherent states},
  author = {John Schliemann and Franz G. Mertens},
  journal= {arXiv preprint arXiv:cond-mat/9810145},
  year   = {2009}
}

Comments

14 pages