Operator approach to quantum optomechanics
  We study the mirror-field interaction in several frameworks: when it is driven, when it is affected by an environment and when a two-level atom is introduced in the cavity. By using operator techniques we show how these problems may be either solved or how the Hamiltonians involved, via sets of unitary transformations, may be taken to known Hamiltonians for which there exist approximate solutions. 
C. Ventura-Vel\'azquez, B. M. Rodr\'iguez-Lara and H. M. Moya-Cessa
quant-ph