Investigation of thermalization in giant-spin models by different Lindblad schemes

Highlights: • The non-equilibrium magnetization is investigated with quantum master equations that rest on Lindblad schemes. • It is studied how different couplings to the bath modify the magnetization. • Various field protocols are employed; relaxation times are deduced. • Result: the time evolution depends strongly on the details of the transition operator used in the Lindblad term. - Abstract: The theoretical understanding of time-dependence in magnetic quantum systems is of great importance in particular for cases where a unitary time evolution is accompanied by relaxation processes. A key example is given by the dynamics of single-molecule magnets where quantum tunneling of the magnetization competes with thermal relaxation over the anisotropy barrier. In this article we investigate how good a Lindblad approach describes the relaxation in giant spin models and how the result depends on the employed operator that transmits the action of the thermal bath.