Exact Stochastic Mean-Field dynamics

Details Exact Stochastic Mean-Field dynamics Exact Stochastic Mean-Field dynamics

2008-12-18

arxiv.org/abs/0812.3650v1

Physics

Nuclear Physics

Nuclear Theory

Proceedings series of Proceedings of "FUSION08: New Aspects of Heavy Ion Collisions near the Coulomb Barrier", September 22-26

Scientific paper

10.1063/1.3108765

The exact evolution of a system coupled to a complex environment can be described by a stochastic mean-field evolution of the reduced system density. The formalism developed in Ref. [D.Lacroix, Phys. Rev. E77, 041126 (2008)] is illustrated in the Caldeira-Leggett model where a harmonic oscillator is coupled to a bath of harmonic oscillators. Similar exact reformulation could be used to extend mean-field transport theories in Many-body systems and incorporate two-body correlations beyond the mean-field one. The connection between open quantum system and closed many-body problem is discussed.

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