A Trotter-Kato Theorem for Quantum Markov Limits
  Using the Trotter-Kato theorem we prove the convergence of the unitary dynamics generated by an increasingly singular Hamiltonian in the case of a single field coupling. The limit dynamics is a quantum stochastic evolution of Hudson-Parthasarathy type, and we establish in the process a graph limit convergence of the pre-limit Hamiltonian operators to the Chebotarev-Gregoratti-von Waldenfels Hamiltonian generating the quantum Ito evolution. 
Luc Bouten, Rolf Gohm, John Gough and Hendra Nurdin
math-ph math.FA math.MP math.SP quant-ph