The classical skeleton of open quantum chaotic maps
  We have studied two complementary decoherence measures purity and fidelity for a generic diffusive noise in two different chaotic systems (the baker and the cat maps). For both quantities, we have found classical structures in quantum mechanics - the scar functions - that are specially stable when subjected to environmental perturbations. We show that these quantum states constructed on classical invariants are the most robust significant quantum distributions in generic dissipative maps. 
Lisandro A. Raviola, Alejandro M.F. Rivas, and Gabriel G. Carlo
quant-ph cond-mat.mes-hall