1203.3286 (Denis Lacroix et al.)

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

Denis Lacroix, Sakir Ayik, Bulent Yilmaz

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.

View original: http://arxiv.org/abs/1203.3286