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Symmetry breaking and fluctuations within stochastic mean-field dynamics: importance of initial quantum fluctuations

D. Lacroix 1 S. Ayik B. Yilmaz
1 Théorie
GANIL - Grand Accélérateur National d'Ions Lourds
Abstract : Dynamics of spontaneous symmetry breaking and fluctuations in the Lipkin-Meshkov-Glick model are investigated in a stochastic mean-field approach. Different from the standard mean-field, in the stochastic approach, initial state fluctuations, are incorporated. In weak coupling, the approach perfectly reproduces the exact quantal dynamics. On the other hand, for increasing coupling strength, above the symmetry breaking threshold, the approach provides description of gross properties (i.e. time averaged behavior) of the exact quantal evolution.
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Submitted on : Monday, March 19, 2012 - 12:44:16 PM
Last modification on : Sunday, July 5, 2020 - 9:57:22 PM

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D. Lacroix, S. Ayik, B. Yilmaz. Symmetry breaking and fluctuations within stochastic mean-field dynamics: importance of initial quantum fluctuations. Physical Review C, American Physical Society, 2012, 85, pp.041602. ⟨10.1103/PhysRevC.85.041602⟩. ⟨in2p3-00679661⟩

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