Comparison of quantum and classical relaxation in spin dynamics

Abstract

The classical Landau-Lifshitz equation with damping term has been derived from the time evolution of a quantum mechanical wave function under the assumption of a non-hermitian Hamilton operator. Further, the trajectory of a classical spin $\mathrm{S}$ has been compared with the expectation value of the spin operator $\hat{\mathrm{S}}$. A good agreement between classical and quantum mechanical trajectories can be found for Hamiltonians linear in $\hat{\mathrm{S}}$ respectively $\mathrm{S}$. Quadratic or higher order terms in the Hamiltonian result in a disagreement.

References in corpus (2)

• The Fascinating World of Landau-Lifshitz-Gilbert Equation: An Overview
• Molecular dynamics simulations of the dipolar-induced formation of magnetic nanochains and nanorings

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