Propagation of Initially Excited States in Time-Dependent Density   Functional Theory
  Many recent applications of time-dependent density functional theory begin in an initially excited state, and propagate it using an adiabatic approximation for the exchange-correlation potential. This however inserts the excited-state density into a ground-state approximation. By studying a series of model calculations, we highlight the relevance of initial-state dependence of the exact functional when starting in an excited state, and explore the errors inherent in the adiabatic approximation that neglect this dependence. 
Peter Elliott and Neepa T. Maitra
physics.chem-ph cond-mat.mtrl-sci cond-mat.other