Stochastic quantum dynamics beyond mean-field

Understand

Mean-field approaches where a complex fermionic many-body problem is replaced by an ensemble of independent particles in a self-consistent mean-field can describe many static and dynamical aspects.

• It generally provides a rather good approximation for the average properties of one-body degrees of freedom.
• However, the mean-field approximation generally fails to produce quantum fluctuations of collective motion.
• To overcome this difficulty, noise can be added to the mean-field theory leading to a stochastic description of the many-body problem.