We report on the calculation of polaron energies in InAs quantum dot molecu
les. Polaron effects are larger in vertical than in lateral molecules. The
far infrared absorption associated with molecular polaron transitions is ca
lculated. It may show prominent lines associated with inter dot polaron tra
nsitions. We have also calculated the polaron relaxation time to thermodyna
mical equilibrium when its lifetime is limited by the decay of its phonon c
omponent due to crystal anharmonicity.