- 95-122 Jaksic V., Pillet C.-A.
- On a Model for Quantum Friction I.
Fermi's Golden Rule and Dynamics at Zero Temperature.
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.