Towards irreversibility with a finite bath of oscillators

We investigate the routes by which a bath composed of a finite number of oscillators at zero temperature approaches the induction of dissipation when it nears the usual limit of dense spectrum spread in an infinite interval. It is shown that, when this limit is taken, different distributions of envi...

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Bibliographic Details
Published in:Physics letters. A 2012-12, Vol.377 (1-2), p.39-48
Main Authors: de São José, A.N., Dias, P.M., Bosco de Magalhães, A.R., Peixoto de Faria, J.G.
Format: Article
Language:English
Subjects:
Open quantum systems
Quantum many-body models
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Summary:We investigate the routes by which a bath composed of a finite number of oscillators at zero temperature approaches the induction of dissipation when it nears the usual limit of dense spectrum spread in an infinite interval. It is shown that, when this limit is taken, different distributions of environment frequencies can lead to the same irreversible evolution. However, when we move away from it, the dynamics departs from irreversibility in qualitatively different manners. ► The structure of dynamics of a system coupled to a finite environment is analyzed. ► Irreversible dynamics is associated to dense spectrum distributed in infinite range. ► This condition can be approximated in different ways converging to the same dynamics.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2012.11.001