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 Markovian semigroup which approximates the particles dynamics on the time scale $\tau=\lambda^2t$ ($\lambda$ 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.
@article{hal-00129120,
author = {Pillet, Claude-Alain and Jaksic, Vojkan},
title = {On a model for quantum friction. I. Fermi's Golden Rule and dynamics at zero temperature},
journal = {HAL},
volume = {1995},
number = {0},
year = {1995},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00129120}
}
Pillet, Claude-Alain; Jaksic, Vojkan. On a model for quantum friction. I. Fermi's Golden Rule and dynamics at zero temperature. HAL, Tome 1995 (1995) no. 0, . http://gdmltest.u-ga.fr/item/hal-00129120/