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Abstract
We study the effects of dissipation and decoherence induced on a harmonic oscillator
by the coupling to a chaotic system with two degrees of freedom. Using the Feynman-Vernon
approach and treating the chaotic system semiclassically we show that the effects
of the low dimensional chaotic environment are in many ways similar to those produced
by thermal baths. The classical correlation and response functions play important
roles in both classical and quantum formulations. Our results are qualitatively similar
to the high temperature regime of the Caldeira-Leggett model.