Quantum-mechanical and quasiclassical dynamics of coupled quasiparticle-boson systems
R. Steib, J. L. Schoendorff, H. J. Korsch +1 more
Statistical and dynamical properties of a quasiparticle coupled to polarization vibrations in a dimer model are investigated using a full quantum-mechanical approach. The propagation of the system is described in terms of spin-boson coherent states and compared to various quasiclassical descriptions of the system. The spectrum of the energy eigenvalues and the level spacing distributions of the system are calculated and turn out to be almost regular, especially in the strong coupling limit. It is demonstrated that the usual quasiclassical approach to this problem is not quite satisfactory. This is because the quantum fluctuations in the spin variable give rise to entangled states and correlations which hence should be included in a quasiclassical description. We show that a limited but satisfactory quasiclassical approximation may be given using a suitable integrable reference Hamiltonian.
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics•Jun 1, 1998•9 citations