On Landau-Zener transitions for dephasing Lindbladians
  We consider a driven open system whose evolution is described by a Lindbladian. The Lindbladian is assumed to be dephasing and its Hamiltonian part to be given by the Landau-Zener Hamiltonian. We derive a formula for the transition probability which, unlike previous results, extends the Landau-Zener formula to open systems. 
Martin Fraas and Lisa H\"anggli
math-ph math.MP