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Extending the stochastic mean-field model by including pairing, an approachis proposed for describing evolutions of complex many-body systems in terms ofan ensemble of Time-Dependent Hartree-Fock Bogoliubov trajectories which isdetermined by incorporating fluctuations in the initial state. Non-linearevolution of the initial fluctuations provides an approximate description ofquantal correlations and fluctuations of collective observables. Since theinitial-state fluctuations break the particle-number symmetry, the dynamicaldescription in which pairing correlations play a crucial role is greatlyimproved as compare to the mean-field evolution. The approach is illustratedfor a system of particles governed by a pairing Hamiltonian.

Quantal corrections to mean-field dynamics including pairing