Abstract : Extending the stochastic mean-field model by including pairing, an approach is proposed for describing evolutions of complex many-body systems in terms of an ensemble of Time-Dependent Hartree-Fock Bogoliubov trajectories which is determined by incorporating fluctuations in the initial state. Non-linear evolution of the initial fluctuations provides an approximate description of quantal correlations and fluctuations of collective observables. Since the initial-state fluctuations break the particle-number symmetry, the dynamical description in which pairing correlations play a crucial role is greatly improved as compare to the mean-field evolution. The approach is illustrated for a system of particles governed by a pairing Hamiltonian.
http://hal.in2p3.fr/in2p3-00796757
Contributor : Michel Lion <>
Submitted on : Tuesday, March 5, 2013 - 9:02:18 AM Last modification on : Thursday, November 5, 2020 - 10:50:14 AM
D. Lacroix, D. Gambacurta, S. Ayik. Quantal corrections to mean-field dynamics including pairing. Physical Review C, American Physical Society, 2013, 87, pp.061302. ⟨10.1103/PhysRevC.87.061302⟩. ⟨in2p3-00796757⟩