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A new mathematical tool for an exact treatment of open quantum system dynamics

  • Autori: Napoli, A.; Nicolosi, S.; Messina, A.
  • Anno di pubblicazione: 2005
  • Tipologia: Articolo in rivista (Articolo in rivista)
  • Parole Chiave: mathematical tool; equations
  • OA Link:


A new method to obtain an operatorial exact solution of a wide class of Markovian master equations is presented. Its key point is the existence of a constant of motion partitioning the Hilbert space into finite-dimensional subspaces. The consequent possibility of representing the reduced density operator as a block diagonal matrix is shown. Each "block operator" evolves under the action of a non-unitary operator explicitly derived. Our mathematical approach is illustrated applying it to simple physical systems.