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 (mixedstate 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.A prototypical model of many physical systems is often the quantum dissipative oscillator. This model contains the physical ideas of decoherence, correlation, diffusion, etc. associated with quantum systems. This is especially pertinent in discussing quantum nanodevice systems, which are usually imbedded in other systems so that a suitable description of the environmental effects may be described in terms of the parameters of such a model. The equation governing the density matrix of this system is the Lindblad equation, which describes dissipative quantum systems in a consistent way; namely, its solution does not violate basic requirements of positive semi-definiteness, probability conservation, and hermiticity of the density matrix [1]. The purpose of this paper is to exhibit this model in general terms of a Gaussian density matrix, which contains all the above elements. The "ambiguity function" [2] introduced ori ginally in radar theory, defined as the Fourier transform in the center-of-mass coordinate of the density matrix is found to lead to solutions of the Lindblad's quantum dissipative oscillator. We use the solution so obtained in estimating the various physical features mentioned above. Other formal methods of analyzing these types of problem have been recently discussed in [3]. Finally, we draw some conclusions about the nanodevice characteristics and possibility of the control of decoherence and correlation in realistic situations. An example of this is an atom in a Paul trap coupled to engineered controllable reservoirs [4].In the literature, we often find (A) theoretical proposals for future experiments [5,6] and (B) preliminary experiments [7,8,9] on simple coherent systems such as quantum point contacts, quantum dots, and Josephson junctions to examine issues of decoherence and their control. It should be pointed out that in contrast to [4], these do not involve control via the reservoir. In this paper we discuss some of these in the same exploratory spirit.For simplicity of presentation, we focus our attention on a single, one-dimensional system. We define the time-dependent density matrix in the usual way: