Decoherence, correlation, and entanglement in a pair of coupled quantum dissipative oscillators

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Abstract
A pair of coupled quantum dissipative oscillators, serving as a model for a nanosystem, is described here by the Lindblad equation. Its dynamic evolution is shown to exhibit the features of decoherence (spatial extent of quantum behavior), correlation (spatial scale over which the system localizes to its physical dimensions), and mixed-state entanglement (or inseparability, a special quantum feature in the case of pure states making its appearance first in bipartite systems) as a function of the coupling constants of the Lindblad equation. One interesting feature of this calculation is that the mixed-state separable entanglement may exhibit revivals in time. An initially inseparable entangled state need not remain so for all time and may exhibit regions of separable entanglement. Interpreting the parameters of the Lindblad theory as environmental features in certain experimental situations gives us clues as to the possible control of decoherence, correlation, and nature of entanglement.
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