Carrier relaxation with LO phonon decay in semiconductor quantum dots
  Analysis of an exactly soluble model of phonons coupled to a carrier in a quantum dot provides a clear illustration of a phonon bottleneck to relaxation. The introduction of three-phonon interactions leads to a broad window for relaxation by the processes of LO phonon scattering and decay. 
S.A. Levetas, M.J. Godfrey, P. Dawson