Quantal corrections to mean-field dynamics including pairing

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.

5 pages, 2 figures, To appear in Phys. Rev. C (Rapid communication)

References in corpus (6)

• Effect of pairing on one- and two-nucleon transfer below the Coulomb barrier: a time-dependent microscopic description
• A Stochastic Mean-Field Approach For Nuclear Dynamics
• Pairing Vibrations Study with the Time-Dependent Hartree-Fock-Bogoliubov theory
• Thermodynamics of pairing in mesoscopic systems
• On nucleon exchange mechanism in heavy-ion collisions at near-barrier energies
• Symmetry breaking and fluctuations within stochastic mean-field dynamics: importance of initial quantum fluctuations

Cited by in corpus (23)

• Heavy-ions collisions and fission dynamics with the time-dependent Hartree-Fock theory and its extensions
• Time-dependent Hartree-Fock calculations for multinucleon transfer and quasifission processes in the ${}^{64}$Ni+${}^{238}$U reaction
• Stochastic quantum dynamics beyond mean-field
• Microscopic phase-space exploration modeling of ${}^{258}$Fm spontaneous fission
• Quantal Diffusion Description of Multi-Nucleon Transfers in Heavy-Ion Collisions
• Quantal diffusion approach for multinucleon transfer processes in the ${}^{58,64}$Ni+${}^{208}$Pb reactions: Toward the production of unknown neutron-rich nuclei
• The electric dipole response of ${}^{76}$Se above 4 MeV
• Ultrafast dynamics of finite Hubbard clusters - a stochastic mean-field approach
• Role of non-gaussian quantum fluctuations in neutrino entanglement
• Nucleon exchange in heavy-ion collisions within stochastic mean-field approach
• Quantal description of nucleon exchange in stochastic mean-field approach
• Microscopic description of pair transfer between two superfluid systems (II): a quantum mixing of Time-Dependent Hartree-Fock Bogolyubov trajectories
• Impact of the initial fluctuations on the dissipative dynamics of interacting Fermi systems: A model case study
• Importance of realistic phase space representations of initial quantum fluctuations using the stochastic mean-field approach for fermions
• Challenges in description of heavy-ion collisions with microscopic time-dependent approaches
• A simplified BBGKY hierarchy for correlated fermionic systems from a Stochastic Mean-Field approach
• Microscopic description of pair transfer between two superfluid Fermi systems: combining phase-space averaging and combinatorial techniques
• Classical field records of a quantum system: their internal consistency and accuracy
• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions (2nd edition)
• Combining phase-space and time-dependent reduced density matrix approach to describe the dynamics of interacting fermions
• Complex wave fields in the interacting one-dimensional Bose gas
• On growth of spinodal instabilities in nuclear matter
• Emulation of large-scale qubit registers with a phase-space approach