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