2013/03/31 by Denis Lacroix, D. Gambacurta, Danilo Gambacurta +2 · 1 citation
Mathematics · Physics and Astronomy · #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Hamiltonian (control theory) #Mathematics #Mean field theory #Nonlinear system #Observable #Pairing #Physics #Quantum chaos and dynamical systems #Quantum mechanics #Spectroscopy and Quantum Chemical Studies #Statistical physics #Superconductivity #cond-mat.str-el #nucl-ex #nucl-th #quant-ph
paper · pdf · doi:10.1103/physrevc.87.061302
5 pages, 2 figures, To appear in Phys. Rev. C (Rapid communication)
arxiv created 2013/06/27 · openalex publication_date 2013/06/28 · arxiv updated 2015/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
By extending the stochastic mean-field model by including pairing, an approach is proposed for describing the evolution 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. The nonlinear evolution of the initial fluctuations provides an approximate description of quantal correlations and fluctuations of collective observables. Since the initial-state fluctuations break particle-number symmetry, the dynamical description in which pairing correlations play a crucial role is greatly improved as compared to the mean-field evolution. The approach is illustrated for a system of particles governed by a pairing Hamiltonian.