95-122 Jaksic V., Pillet C.-A.
On a Model for Quantum Friction I. Fermi's Golden Rule and Dynamics at Zero Temperature. (196K, postscript) Feb 24, 95
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Abstract. We investigate the dynamics of a quantum particle in a confining potential, linearly coupled to a bosonic field at temperature zero. For a massive field we show, by employing complex deformation techniques, that the Markovian semi-group which approximates the particle dynamics on the time scale tau = lambda^2 t (lambda = strength of the coupling) is determined by the resonances of the full energy operator. We also show that Markovian master equation technique leads to the right prediction for the life-time of resonances. We discuss the dissipation of the particle into its ground state both in the time mean and on the above time scale.

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