Longitudinal relaxation and quantum spin dynamics in Dzyaloshinsky-Moriya interaction spin spiral dimers

The spin dynamics of a quantum mechanical spin dimer with exchange and Dzyaloshinsky- Moriya interaction are investigated. The spin dimer shows a periodic longitudinal relaxation between the initial and inverted spin spiral state. The calculations were accomplished analytically using a coordinate transfer to local coordinates. Additionally, the dimer is investigated numerically by solving the Gisin-Schrodinger equation. The influence of damping and an external magnetic field perpendicular to the spiral plane has been considered. The spin dynamics were categorized into classical and quantum mechanical spin dynamics. In order to distinguish between classical and quantum spin states, the von Neumann entropy was calculated, which characterizes the entanglement change during the longitudinal reversal.

Automated summary

The spin dynamics of a quantum mechanical spin dimer with exchange and Dzyaloshinsky-Moriya interaction were investigated. The spin dimer exhibits periodic longitudinal relaxation between the initial and inverted spin spiral state. Analytical calculations were performed using a coordinate transfer to local coordinates, while numerical investigations were conducted by solving the Gisin-Schrodinger equation. The effects of damping and an external magnetic field perpendicular to the spiral plane were considered. The distinction between classical and quantum spin states was determined by computing the von Neumann entropy, which characterizes the entanglement change during longitudinal reversal.