Spins coupled to a spin bath: From integrability to chaos.
Phys. Rev. B 81, 081301.
Other URL: http://link.aps.org/doi/10.1103/PhysRevB.81.081301
Motivated by the hyperfine interaction of electron spins with surrounding nuclei, we investigate systems of central spins coupled to a bath of noninteracting spins in the framework of random matrix theory. With increasing number of central spins a transition from Poissonian statistics to the Gaussian orthogonal ensemble occurs which can be described by a generalized Brody distribution. These observations are unaltered upon applying an external magnetic field. In the transition region, the classical counterparts of the models studied have mixed phase space.