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To investigate the influence of further couplings of the environmental spins to a dissipative bath, we also derive the master equation for a harmonic oscillator interacting with a single spin coupled to a bosonic bath. Our models are experimentally motivated by quantum- electromechanical systems and micron-scale ion traps. Decoherence and dissipation rates are found to exhibit temperature dependencies significantly different from those in quantum Brownian motion. In particular, the systematic dissipation rate for the central oscillator decreases with increasing temperature and goes to zero at zero temperature, but there also exists a temperature-independent momentum-diffusion (heating) rate."},{"label":"DOI","value":"10.1103/PhysRevA.77.022111"},{"label":"Volume","value":"77"},{"label":"Publication Date","value":"D:00 M:00 Y:2008"},{"label":"Publication Information","value":"Copyright 2008 American Physical Society. 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