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Exact Stochastic Mean-Field dynamics

Abstract : 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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http://hal.in2p3.fr/in2p3-00348464
Contributor : Michel Lion <>
Submitted on : Friday, December 19, 2008 - 10:42:59 AM
Last modification on : Friday, November 13, 2020 - 10:44:03 AM

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D. Lacroix, G. Hupin. Exact Stochastic Mean-Field dynamics. FUSION08: New Aspects of Heavy Ion collisions Near the Coulomb Barrier, Sep 2008, Chicago, United States. pp.128-132, ⟨10.1063/1.3108765⟩. ⟨in2p3-00348464⟩

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