Detailed balance, time reversal, and generators of quantum Markov semigroups
Franco Fagnola, Veronica Umanità · Mathematical Notes · 2008
We characterize generators ℒ of norm continuous quantum Markov semigroups satisfying the quantum detailed balance condition with respect to an antiunitary time reversal in terms of the operators H and L k in the Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) representation ℒ(x) = i[H, x] − (1/2)gZ k (L* k L k x − 2L* k x L k + x L* k L k ).