Time-evolution of quantum systems via a complex nonlinear Riccati   equation II. Dissipative systems
  In our former contribution [Ann. Phys. 360 (2015) 44], we have shown the sensitivity to the choice of initial conditions in the evolution of Gaussian wave packets via the nonlinear Riccati equation. The formalism developed in the previous work is extended to effective approaches for the description of dissipative quantum systems. By means of simple examples we show the effects of the environment on the quantum uncertainties, correlation function, quantum energy contribution and tunneling currents. We prove that the environmental parameter $\gamma$ is strongly related with the sensitivity to the choice of initial conditions. 
Hans Cruz, Dieter Schuch, Octavio Castanos and Oscar Rosas-Ortiz
quant-ph