Time Evolution of Spin Waves

Abstract

A rigorous derivation of macroscopic spin-wave equations is demonstrated. We introduce a macroscopic mean-field limit and derive the so-called Landau-Lifshitz equations for spin waves. We first discuss the ferromagnetic Heisenberg model at T=0 and finally extend our analysis to general spin hamiltonians for the same class of ferromagnetic ground states.

4 pages, to appear in PRL

References in corpus (1)

• Phase Segregation Dynamics in Particle Systems with Long Range Interactions I: Macroscopic Limits

Cited by in corpus (3)

• Semi-Classical Dynamics in Quantum Spin Systems
• Magnon Energy Renormalization and Low-Temperature Thermodynamics of O(3) Heisenberg Ferromagnets
• On the dynamics of interfaces in the ferromagnetic XXZ chain under weak perturbations