- 02-442 Duerr D., Figari R., Teta A.
- Decoherence in a Two-Particle Model
Oct 30, 02
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Abstract. We consider a simple one dimensional quantum system consisting of
a heavy and a light particle interacting via a point interaction.
The initial state is chosen to be a product state, with the heavy
particle described by a coherent superposition of two spatially
separated wave packets with opposite momentum and the light
particle localized in the region between the two wave packets.
We characterize the asymptotic dynamics of the system in the limit
of small mass ratio, with an explicit control of the error.
We derive the corresponding reduced density matrix for the heavy
particle and explicitly compute the (partial)
decoherence effect for the heavy particle induced by the presence
of the light one for a particular set up of the parameters.