Nonequilibrium Extension of the Landau-Lifshitz-Gilbert Equation for Magnetic Systems
arXiv:cond-mat/0405599
Abstract
Using the invariant operator method for an effective Hamiltonian including the radiation-spin interaction, we describe the quantum theory for magnetization dynamics when the spin system evolves nonadiabatically and out of equilibrium, $d \hatÏ/dt \neq 0$. It is shown that the vector parameter of the invariant operator and the magnetization defined with respect to the density operator, both satisfying the quantum Liouville equation, still obey the Landau-Lifshitz-Gilbert equation.
RevTex 3 Pages in double column; no figure