  A single quantum dissipative oscillator described by the Lindblad equation
serves as a model for a nanosystem. This model is solved exactly by using the
ambiguity function. The solution shows the features of decoherence (spatial
extent of quantum behavior), correlation (spatial scale over which the system
localizes to its physical dimensions), and mixing (mixed- state spatial
correlation). A new relation between these length scales is obtained here. By
varying the parameters contained in the Lindblad equation, it is shown that
decoherence and correlation can be controlled. We indicate possible
interpretation of the Lindblad parameters in the context of experiments using
engineered reservoirs.
