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Article Dans Une Revue Annales de l'Institut Henri Poincare Physique Theorique Année : 1995

On a model for quantum friction. I. Fermi's Golden Rule and dynamics at zero temperature

Résumé

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.
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Dates et versions

hal-00129120 , version 1 (05-02-2007)

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  • HAL Id : hal-00129120 , version 1

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Claude-Alain Pillet, Vojkan Jaksic. On a model for quantum friction. I. Fermi's Golden Rule and dynamics at zero temperature. Annales de l'Institut Henri Poincare Physique Theorique, 1995, 62, pp.47-68. ⟨hal-00129120⟩
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