QUANTUM-NETWORKS - MASTER EQUATION AND LOCAL MEASUREMENTS

Based on the SU(n)-algebra the Markoff master equation in discrete pro duct space is reformulated to explicitly deal with composite systems. The resulting local (single node) and nonlocal (multi-node) state para meters allow a systematic approach to non-classical features of the st ate, like variance and covariance tensors. For local optical driving f orces, inter-node interactions, and local damping channels the solutio n of the master equation is unraveled into stochastic quantum trajecto ries. Sampling leads to a joint distribution function in terms of thos e state parameters. Its linear moments define the ensemble-density mat rix. The average variance and covariance are in terms of non-linear mo ments, which should be distinguished from their entirely statistical c ounterpairs. Non-classicality of the network dynamics is shown to refl ect itself in the luminescence-photon-statistics.